Corrected 2nd Draft
On Thursday, October 30, 2003, at 09:04 AM, ... wrote:
Thanks for letting me see this and S-P's comments. Yes, I also heard Brian Greene explain that string theory quietens the jitters of QM, and I took note of that but it didn't occur to me that this was also the effect of your simpler model, so thanks again.
Indeed that's one of my key results! The vacuum coherence derandomizes the zero point vacuum fluctuations, oil on the turbulent waters.
Zero Point Vacuum Energy Density = (string tension)(Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
Higgs Field = Amplitude of the Vacuum Coherence Field from "BCS" negentropic collapse of phase space of the unstable Dirac electron vacuum to a much smaller volume of phase space that is macroscopically occupied by bound lepto-quark pairs.
That's a pretty simple formula from the "two-fluid" model.
Also
Einstein's Gravity Metric Field = Special Relativity Metric + Sakharov's Metric Elasticity Tensor
Sakharov's Metric Elasticity Tensor = Hagen Kleinert's "World Crystal Strain Tensor"
World Crystal Distortion Field = (Planck Area) (Goldstone Phase of the Vacuum Coherence),u = &u
,u is the partial derivative relative to x^u
World Crystal Strain Tensor = &(,u,v)
( ) = symmetrizer
Torsion = Suv = &[,u,v]
[ ] is anti-symmetrizer
I also noted that either the program or the program's web site said string theory leaves QM intact and that, in becoming compatible with Gen. Rev., actually causes changes in GR. Why so?
I don't know string theory that well. I seem to be able to do everything string theory wants to do and even more than it does. Also there is no real conflict
since c^4/G is a string tension to begin with and the connection of micro-geons to strings is already in the literature.
I am now beginning to see why Tony Smith talks about conformal gravitons. The exotic vacuum w = -1 dark energy/matter fields seem to be connected with them, i.e. local gauging of the 4 "mirrored translations" of the Conformal Group. Macro-quantum coherent squeezed states of conformal gravitons modulate the residual random zero point energy density from all fields /\zpf(x) away from the non-gravitating vacuum = 0, This complements the coherent states of Einstein gravitons from locally gauging the ordinary Pu (energy-momentum) generators of the translation group which modulate Goldstone phase. Then we have the torsion fields from locally gauging the 6 generators of the Lorentz subgroup O(1,3).
Friday, October 31, 2003
Thursday, October 30, 2003
On Thursday, October 30, 2003, at 05:03 PM, Jack Sarfatti wrote:
Zero Point Vacuum Energy Density = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
With all the dimensional constants that would be obviously
Zero Point Vacuum Energy Density = (String Tension)(Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
Zero Point Vacuum Energy Density = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
With all the dimensional constants that would be obviously
Zero Point Vacuum Energy Density = (String Tension)(Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
On Thursday, October 30, 2003, at 09:04 AM, ... wrote:
Thanks for letting me see this and S-P's comments. Yes, I also heard Brian Greene explain that string theory quietens the jitters of QM, and I took note of that but it didn't occur to me that this was also the effect of your simpler model, so thanks again.
Indeed that's one of my key results! The vacuum coherence derandomizes the zero point vacuum fluctuations, oil on the turbulent waters.
Zero Point Vacuum Energy Density = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
Higgs Field = Amplitude of the Vacuum Coherence Field from "BCS" negentropic collapse of phase space of the unstable Dirac electron vacuum to a much smaller volume of phase space that is macroscopically occupied by bound lepto-quark pairs.
That's a pretty simple formula from the "two-fluid" model.
Also
Einstein's Gravity Metric Field = Special Relativity Metric + Sakharov's Metric Elasticity Tensor
Sakharov's Metric Elasticity Tensor = Hagen Kleinert's "World Crystal Strain Tensor"
World Crystal Distortion Field = (Planck Area) (Goldstone Phase of the Vacuum Coherence),u =&u
,u is the partial derivative relative to x^u
World Crystal Strain Tensor = &(,u,v)
( ) = symmetrizer
Torsion = Suv = &[,u,v]
[ ] is anti-symmetrizer
I also noted that either the program or the program's web site said string theory leaves QM intact and that, in becoming compatible with Gen. Rev., actually causes changes in GR. Why so?
I don't know string theory that well. I seem to be able to do everything string theory wants to do and even more than it does. Also there is no real conflict
since c^4/G is a string tension to begin with and the connection of micro-geons to strings is already in the literature.
I am now beginning to see why Tony Smith talks about conformal gravitons. The exotic vacuum w = -1 dark energy/matter fields seem to be connected with them, i.e. local gauging of the 4 "mirrored translations" of the Conformal Group. Macro-quantum coherent squeezed states of conformal gravitons modulate the residual random zero point energy density from all fields /\zpf(x) away from the non-gravitating vacuum = 0, This complements the coherent states of Einstein gravitons from locally gauging the ordinary Pu (energy-momentum) generators of the translation group which modulate Goldstone phase. Then we have the torsion fields from locally gauging the 6 generators of the Lorentz subgroup O(1,3).
Thanks for letting me see this and S-P's comments. Yes, I also heard Brian Greene explain that string theory quietens the jitters of QM, and I took note of that but it didn't occur to me that this was also the effect of your simpler model, so thanks again.
Indeed that's one of my key results! The vacuum coherence derandomizes the zero point vacuum fluctuations, oil on the turbulent waters.
Zero Point Vacuum Energy Density = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence Higgs Field)^2]
Higgs Field = Amplitude of the Vacuum Coherence Field from "BCS" negentropic collapse of phase space of the unstable Dirac electron vacuum to a much smaller volume of phase space that is macroscopically occupied by bound lepto-quark pairs.
That's a pretty simple formula from the "two-fluid" model.
Also
Einstein's Gravity Metric Field = Special Relativity Metric + Sakharov's Metric Elasticity Tensor
Sakharov's Metric Elasticity Tensor = Hagen Kleinert's "World Crystal Strain Tensor"
World Crystal Distortion Field = (Planck Area) (Goldstone Phase of the Vacuum Coherence),u =&u
,u is the partial derivative relative to x^u
World Crystal Strain Tensor = &(,u,v)
( ) = symmetrizer
Torsion = Suv = &[,u,v]
[ ] is anti-symmetrizer
I also noted that either the program or the program's web site said string theory leaves QM intact and that, in becoming compatible with Gen. Rev., actually causes changes in GR. Why so?
I don't know string theory that well. I seem to be able to do everything string theory wants to do and even more than it does. Also there is no real conflict
since c^4/G is a string tension to begin with and the connection of micro-geons to strings is already in the literature.
I am now beginning to see why Tony Smith talks about conformal gravitons. The exotic vacuum w = -1 dark energy/matter fields seem to be connected with them, i.e. local gauging of the 4 "mirrored translations" of the Conformal Group. Macro-quantum coherent squeezed states of conformal gravitons modulate the residual random zero point energy density from all fields /\zpf(x) away from the non-gravitating vacuum = 0, This complements the coherent states of Einstein gravitons from locally gauging the ordinary Pu (energy-momentum) generators of the translation group which modulate Goldstone phase. Then we have the torsion fields from locally gauging the 6 generators of the Lorentz subgroup O(1,3).
Wednesday, October 29, 2003
We cannot tell about the torsion weapon WMD threat potential until the fundamental physics is better understood both of the torsion field, absent in standard relativity, and of consciousness as an emergent property of matter in motion, matter reduced to pure geometry. Progress IS being made however. Premature conclusions are not wise. It's too soon to tell.
Revised Draft
ref. http://qedcorp.com/APS/StarGate1.mov
On Wednesday, October 29, 2003, at 12:08 PM, S-P & M-M Sirag wrote:
"Jack,
I also watched the NOVA program on string theory last night. The answer to Steven Weinberg's question about the cosmological constant (as the energy of empty space) may have been implicit in a key point the program.
Weinberg says: "If you try to calculate the energy in empty space, taking into account only fluctuations in fields of wavelengths where we understand the physics, you get an incredibly large energy, much too large to possibly fit what we know about the expansion of the universe."
For me the most telling moment in Brian Greene's discussion of string theory was when he illustrated the quieting down of the fluctuations of space caused by the fluctuations of the strings."
Yes, I noticed that. That is what I also get with my much simpler model:
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Andrei Sakharov "metric elasticity" tensor:
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is:
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
Note they have:
Given a connection for parallel transport of tensors through the base space, the commutator of the covariant derivatives on any scalar defines the 3rd rank torsion tensor of the connection.
The commutator of the covariant derivatives + a torsion term on any 1st rank tensor or 4-vector define the 4th rank "tidal force" curvature tensor. Note that a non-zero torsion modifies the curvature.
The standard Bianchi identities for local matter energy flow conservation Tuv^;v = 0 do not work when there is torsion. Kiehn's beloved d^2 = 0 does not work either.
Torsion comes from applying local gauge invariance directly to the local Lorentz group O(1,3) of the light cone.
Local gauge invariance includes Einstein's Diff(4) "general coordinate invariance" as a special case.
The EM 4-potential Au is a connection for parallel transport in the extra-dimensions of hyperspace. Generalizing leads to the CY space of string theory.
Choices of gauge are "constraints" what their physics really means is obscure at least to me.
Back to my questioning of Saul-Paul:
What is the math idea of what Brian was alluding to? Oh you mean finite length of string?
But that is still too big a number when
Cosmological Constant ~ 1/(String Length)^2
"The idea that the zero-point energy of spacetime (based on the Heisenberg uncertainty principle) becomes enormous enough to break spacetime into a quantum foam is based on a quantum field theory view of the fundamental particles as point particles (i.e, zero-dimensional entities)."
Yes, but with my Vacuum Coherence Field = 0 implicitly assumed.
"[Here's a question for the pessimistic Sheldon Glashow: "If it takes an
accelerator the size of the Milky Way galaxy to see something as small as a Planck scale (10^-33 cm) string, how big an accelerator do we need to see a point particle electron (as is assumed in quantum field theory)? After all a point is infinitely smaller than 10^-33 cm. We don't see electrons (or any other point particle) in accelerators; we see their effects at a scale of around 10^-18 cm -- much larger than the point-like scale which is infinitesimal.]"
Not really a fair question.
The idea is that the electron is a "micro-geon" (e.g. Ya Burinski).
Imagine a ring singularity at radius
e^2/mc^2 ~ 1 fermi
perhaps with thickness 1 Newtonian Planck area.
Actually the core of this ring is exotic vacuum "dark matter" with positive pressure holding the charge and compensating the rotations. The plasma cloud of virtual electron-positron pairs and virtual photons extends out to h/mc ~ 10^-11 cm. This is the low energy picture. Hit the electron with huge momentum transfers p and I think the enormous space-warp at the micro-scale will make the electron appear more and more like a point particle ~ 10^-17 cm or so with attainable momentum transfers in high-energy scattering. Similarly for quarks inside the hadrons. Basically the "radius" stays at e^2/mc^ and the "circumference" of the ring shrinks relative to fixed radius. For simplest toy Schwartzschild
effective size of electron (neglecting charge and spin just show the idea) = (e^2/2pimc^2)(1 - 2G*mp/hc^2)^1/2
where G* ~ 10^40G(Newton)
Then use blackhole-string duality to get to your string picture?
"The basic idea of string theory is that the point particles are an approximation to the tiny (10^-33 cm sized) strings. This entails the further idea that when one looks at regions of space approaching 10^-33 cm (the Planck length), rather than space fluctuating so violently that it breaks up in a quantum foam, the fluctuations are tame --in fact harmonic-- and the harmonics correspond to the various particle types (including some new particle types whose discovery would confirm the theory--contra to Sheldon Glashow very negative comments concerning the verifiability of string theory)."
I need to see how the math of that actually works. I have some string theory books like Polchinski. Is it in there?
"Moreover--and this is a very big idea--when one looks at regions of space approaching the Planck scale, the spacetime goes hyperdimensional. So it is in effect the tiny unseen dimensions that tame quantum foam (as calculated in quantum field theory)."
What is the actual string theory formula for Einstein's cosmological constant? I have one above in my simple picture which also explains both dark energy and dark matter as w = -1 exotic vacuum phases on the large scale.
"This is actually "ancient history" in string theory, so ancient that it is usually forgotten (if ever noticed). Thirty years ago Lars Brink and H.B. Nielsen did a zero-point energy calculation on the strings (both the bosonic 26 dimensional variety and the 10 dimensional superstring variety). These dimensions were already known by 1973, but by way of very abstract calculations. Brink and Nielsen wanted a more physically intuitive picture of the hidden dimensions. They assumed only that the zero-point energy fluctuations would be absorbed by the harmonic fluctuations of the strings."
Sounds like the "harmonics" play a role similar to my MACRO-QUANTUM Vacuum Coherence Field.
Remember however that I derive Einstein's classical GR equations from modulating the Goldstone Phase of the "More is different" Vacuum Coherence Field which is a giant vacuum local wave not tiny little harmonics.
I also derive dark energy and dark matter from modulating the Higgs amplitude part of the Vacuum Coherence Field.
In polar representation
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase Field)
The topological defects, i.e. Goldstone phase singularities, are well known to be 1D strings in this case of O(2) internal symmetry in 3D space/
Einstein's guv is from local gauge invariance compensating fields on the 4-parameter translation subgroup of the 15 parameter Conformal Group.
Dark energy/matter exotic vacuum field is from local gauge invariance compensating field on the 4-parameter mirror translation subgroup of the 15 parameter Conformal Group. (like Tony Smith's "conformal gravitons")
Shipov's torsion field is from local gauge invariance compensating field on 6 parameter Lorentz O(1,3) subgroup of the Conformal Group.
Also the dilation field from the 1 parameter sub-group of the conformal group hence R(t) = e^Ht in the inflation phase.
*Note according to Rindler and Penrose all sorts of stuff breaks down when torsion =/= 0
e.g. no longer d^2 = 0 for exterior differential Cartan forms.
No longer general Stoke's theorem
Integral over domain of d(form) = Integral over boundary of the form
breaks down as does
Boundary of a boundary vanishes for the topology of fields as Wheeler tells IT FROM BIT.
Note also that 4-World Vectors (first rank tensors of Conformal Group) are 2qubit strings of the Bell Basis of quantum cryptography. That's all in Penrose and Rindler though they did not mention "qubits" back in the 80's when the book was written - hence the IT FROM BIT as Penrose spinor (quBIT) substratum of IT space-time!
"What they left to be calculated from this premise was the dimensionality of spacetime in order to remain consistent with this premise. Lo and behold -- the 26-d bosonic dimensions and the 10-d superstring dimensions (which include fermions) drop out of their string zero-point energy calculation."
Is the idea that they impose a vanishing zero point energy density from all strings and from that constraint get the extra-dimensions of space?
The extra dimensions of space, if large, may amp up G(Newton) to G* by 40 powers of ten at the fermi scale in the 3 large ordinary dimensions?
"Ref: L. Brink and H.B. Nielsen, "A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models," *Physics Letters*, 45B:4, 332-336 (6 Aug 1973). This paper is also included as paper #9 in the anthology edited by John H. Schwarz, *Superstrings: the first 15 years of superstring theory* Vol. I (World Scientific, 1985).
BTW: There may in fact already be observational evidence for the string theory taming of the violent (quantum field theory) quantum foam. Of course, since the observations were made by astronomers (who probably don't study the fine points of string theory ;-), this evidence is not touted as relevant to string theory."
Again I need to see a string theory formula that does same thing as my formulas
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
How do we get the 3rd rank torsion tensor from this 2 index term prior to introducing the connection?
Ref. *Astronomy* September 2003, p. 30, "Time won't be quantized."
See also the URL: http://www.uah.edu/News/2003news/sharp image.html
"The title of this news item from the University of Alabama in Huntsville is ironically misleading. The title is "Does sharp image of distant galaxy shred the fabric of space and time?" Actually, Richard Lieu and Lloyd Hillman (at Huntsville) expected the Hubble telescope pictures of the Airy disks (or rings) generated by distant galaxies to show a quantization of time -- which idea is based on the shredding of spacetime at the Planck scale). The sharpness of the Airy disks was interpreted to mean that time is not quantized at the Planck scale.
This should count as indirect evidence for the string theory taming of the fluctuations of spacetime--via the hidden dimensions of string theory."
Or my formula, which is simpler. Remember my theory also trivially predicts that these Airy disks should be sharp. How is Einstein's equation
Ruv - (1/2)Rguv + /\guv = (8piG/c^4)Tuv
derived in string theory?
I can do that using Hagen Kleinert's methods.
"Thus this could be the first indirect evidence for the hidden dimensions.
The sharp Airy disks from distant galaxies was also confirmed by the independent observations (of different galaxies) by Roberto Ragozzoni of the Max Planck Institute (also using the Hubble telescope). And this confirmation led to the short news item in the September issue of *Astronomy*.
I wrote a letter to *Astronomy* pointing out the Brink and Nielsen calculations mentioned above. I don't know if they will publish my letter. Anyway I sent you a copy of my email letter to *Astronomy* on August 11. And you sent it on to several other people -- so the idea is out there. Don't know if its significance understood.
Nuff said ;-)
Saul-Paul"
I need to see exactly how Brink and Nielsen repeat Ben Franklin's trick of throwing oil on the foamy brine.
My oil is the Vacuum Coherence Field, which in first approximation is a virtual electron-positron pair vacuum condensate with 1D string defects whose phase modulation is Einstein's gravity precisely and whose amplitude modulation is the unified w = -1 exotic vacuum field that can either manifest as repulsive dark energy of huge negative zero point pressure or attractive dark matter with huge positive pressure, so huge, in fact, as to stabilize the repulsive self-electric charge of the lepto-quarks as spatially extended micro-geons of localized exotic vacua of rotating "Mass without mass" with trapped quantized gauge force fluxes with multiply-connected 3D space topologies. They get their marching orders from the QUBIT pilot fields. System points rolling on landscapes. When the system point is no longer a passive test particle but directly influences its own landscape then we have emergent spontaneous self-organization, i.e. Nietzsche's "self-rolling wheel."
----------
From: Jack Sarfatti
To: sarfatti@pacbell.net
Subject: Re: Nova's presentation of Brian Green's "The Elegant Universe"
Date: Wed, Oct 29, 2003, 7:58 AM
On Wednesday, October 29, 2003, at 06:56 AM, ... wrote:
Happened to catch part of this string theory show last night and I'm
not sure that simplistic shows for laymen, like me, are that helpful
if they don't go as far as the meaningful explanations that your web
site presents. Anyway, all the big stars were on the show and I
thought this quote from Steven Weinberg was interesting, from Nova's
website, especially in light of your theory:
"NOVA: What do you see as string theory's greatest failure?
Weinberg: A disappointing aspect of string theory is that it has so
far failed to shed any light at all on what is probably the biggest
outstanding problem in the physics of what we can actually see in
nature -- the failure to understand the energy of empty space, the
so-called cosmological constant. If you try to calculate the energy in
empty space, taking into account only fluctuations in fields of
wavelengths where we understand the physics, you get an incredibly
large energy, much too large to possibly fit what we know about the
expansion of the universe. There must be some complicated
cancellations that make the energy in empty space very small."
Yes, they do not have the idea of vacuum coherence damping down the
random zero point fluctuations -- oil on the waters.
/\zpf = Lp*^-2[1 - Lp*^3Higgs^2]
Higgs = Vacuum Coherence
The nice thing about the additional hologram idea is that
Lp* = Lp^2/3(c/H)^1/3
gives Lp* ~ 1 Gev scale, i.e. 10^-13 cm
the bad thing is that Lp* would seem to be time dependent, which would
I think be falsified because it would say that the mass scale of
lepto-quarks is weakening.
This would, it appears, contradict the observations of old stars at
least. In any case this is a problem I do not yet understand. My theory
does not depend on the hologram idea fortunately but it is a nice
addition to it, if I can resolve this issue.
Revised Draft
ref. http://qedcorp.com/APS/StarGate1.mov
On Wednesday, October 29, 2003, at 12:08 PM, S-P & M-M Sirag wrote:
"Jack,
I also watched the NOVA program on string theory last night. The answer to Steven Weinberg's question about the cosmological constant (as the energy of empty space) may have been implicit in a key point the program.
Weinberg says: "If you try to calculate the energy in empty space, taking into account only fluctuations in fields of wavelengths where we understand the physics, you get an incredibly large energy, much too large to possibly fit what we know about the expansion of the universe."
For me the most telling moment in Brian Greene's discussion of string theory was when he illustrated the quieting down of the fluctuations of space caused by the fluctuations of the strings."
Yes, I noticed that. That is what I also get with my much simpler model:
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Andrei Sakharov "metric elasticity" tensor:
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is:
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
Note they have:
Given a connection for parallel transport of tensors through the base space, the commutator of the covariant derivatives on any scalar defines the 3rd rank torsion tensor of the connection.
The commutator of the covariant derivatives + a torsion term on any 1st rank tensor or 4-vector define the 4th rank "tidal force" curvature tensor. Note that a non-zero torsion modifies the curvature.
The standard Bianchi identities for local matter energy flow conservation Tuv^;v = 0 do not work when there is torsion. Kiehn's beloved d^2 = 0 does not work either.
Torsion comes from applying local gauge invariance directly to the local Lorentz group O(1,3) of the light cone.
Local gauge invariance includes Einstein's Diff(4) "general coordinate invariance" as a special case.
The EM 4-potential Au is a connection for parallel transport in the extra-dimensions of hyperspace. Generalizing leads to the CY space of string theory.
Choices of gauge are "constraints" what their physics really means is obscure at least to me.
Back to my questioning of Saul-Paul:
What is the math idea of what Brian was alluding to? Oh you mean finite length of string?
But that is still too big a number when
Cosmological Constant ~ 1/(String Length)^2
"The idea that the zero-point energy of spacetime (based on the Heisenberg uncertainty principle) becomes enormous enough to break spacetime into a quantum foam is based on a quantum field theory view of the fundamental particles as point particles (i.e, zero-dimensional entities)."
Yes, but with my Vacuum Coherence Field = 0 implicitly assumed.
"[Here's a question for the pessimistic Sheldon Glashow: "If it takes an
accelerator the size of the Milky Way galaxy to see something as small as a Planck scale (10^-33 cm) string, how big an accelerator do we need to see a point particle electron (as is assumed in quantum field theory)? After all a point is infinitely smaller than 10^-33 cm. We don't see electrons (or any other point particle) in accelerators; we see their effects at a scale of around 10^-18 cm -- much larger than the point-like scale which is infinitesimal.]"
Not really a fair question.
The idea is that the electron is a "micro-geon" (e.g. Ya Burinski).
Imagine a ring singularity at radius
e^2/mc^2 ~ 1 fermi
perhaps with thickness 1 Newtonian Planck area.
Actually the core of this ring is exotic vacuum "dark matter" with positive pressure holding the charge and compensating the rotations. The plasma cloud of virtual electron-positron pairs and virtual photons extends out to h/mc ~ 10^-11 cm. This is the low energy picture. Hit the electron with huge momentum transfers p and I think the enormous space-warp at the micro-scale will make the electron appear more and more like a point particle ~ 10^-17 cm or so with attainable momentum transfers in high-energy scattering. Similarly for quarks inside the hadrons. Basically the "radius" stays at e^2/mc^ and the "circumference" of the ring shrinks relative to fixed radius. For simplest toy Schwartzschild
effective size of electron (neglecting charge and spin just show the idea) = (e^2/2pimc^2)(1 - 2G*mp/hc^2)^1/2
where G* ~ 10^40G(Newton)
Then use blackhole-string duality to get to your string picture?
"The basic idea of string theory is that the point particles are an approximation to the tiny (10^-33 cm sized) strings. This entails the further idea that when one looks at regions of space approaching 10^-33 cm (the Planck length), rather than space fluctuating so violently that it breaks up in a quantum foam, the fluctuations are tame --in fact harmonic-- and the harmonics correspond to the various particle types (including some new particle types whose discovery would confirm the theory--contra to Sheldon Glashow very negative comments concerning the verifiability of string theory)."
I need to see how the math of that actually works. I have some string theory books like Polchinski. Is it in there?
"Moreover--and this is a very big idea--when one looks at regions of space approaching the Planck scale, the spacetime goes hyperdimensional. So it is in effect the tiny unseen dimensions that tame quantum foam (as calculated in quantum field theory)."
What is the actual string theory formula for Einstein's cosmological constant? I have one above in my simple picture which also explains both dark energy and dark matter as w = -1 exotic vacuum phases on the large scale.
"This is actually "ancient history" in string theory, so ancient that it is usually forgotten (if ever noticed). Thirty years ago Lars Brink and H.B. Nielsen did a zero-point energy calculation on the strings (both the bosonic 26 dimensional variety and the 10 dimensional superstring variety). These dimensions were already known by 1973, but by way of very abstract calculations. Brink and Nielsen wanted a more physically intuitive picture of the hidden dimensions. They assumed only that the zero-point energy fluctuations would be absorbed by the harmonic fluctuations of the strings."
Sounds like the "harmonics" play a role similar to my MACRO-QUANTUM Vacuum Coherence Field.
Remember however that I derive Einstein's classical GR equations from modulating the Goldstone Phase of the "More is different" Vacuum Coherence Field which is a giant vacuum local wave not tiny little harmonics.
I also derive dark energy and dark matter from modulating the Higgs amplitude part of the Vacuum Coherence Field.
In polar representation
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase Field)
The topological defects, i.e. Goldstone phase singularities, are well known to be 1D strings in this case of O(2) internal symmetry in 3D space/
Einstein's guv is from local gauge invariance compensating fields on the 4-parameter translation subgroup of the 15 parameter Conformal Group.
Dark energy/matter exotic vacuum field is from local gauge invariance compensating field on the 4-parameter mirror translation subgroup of the 15 parameter Conformal Group. (like Tony Smith's "conformal gravitons")
Shipov's torsion field is from local gauge invariance compensating field on 6 parameter Lorentz O(1,3) subgroup of the Conformal Group.
Also the dilation field from the 1 parameter sub-group of the conformal group hence R(t) = e^Ht in the inflation phase.
*Note according to Rindler and Penrose all sorts of stuff breaks down when torsion =/= 0
e.g. no longer d^2 = 0 for exterior differential Cartan forms.
No longer general Stoke's theorem
Integral over domain of d(form) = Integral over boundary of the form
breaks down as does
Boundary of a boundary vanishes for the topology of fields as Wheeler tells IT FROM BIT.
Note also that 4-World Vectors (first rank tensors of Conformal Group) are 2qubit strings of the Bell Basis of quantum cryptography. That's all in Penrose and Rindler though they did not mention "qubits" back in the 80's when the book was written - hence the IT FROM BIT as Penrose spinor (quBIT) substratum of IT space-time!
"What they left to be calculated from this premise was the dimensionality of spacetime in order to remain consistent with this premise. Lo and behold -- the 26-d bosonic dimensions and the 10-d superstring dimensions (which include fermions) drop out of their string zero-point energy calculation."
Is the idea that they impose a vanishing zero point energy density from all strings and from that constraint get the extra-dimensions of space?
The extra dimensions of space, if large, may amp up G(Newton) to G* by 40 powers of ten at the fermi scale in the 3 large ordinary dimensions?
"Ref: L. Brink and H.B. Nielsen, "A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models," *Physics Letters*, 45B:4, 332-336 (6 Aug 1973). This paper is also included as paper #9 in the anthology edited by John H. Schwarz, *Superstrings: the first 15 years of superstring theory* Vol. I (World Scientific, 1985).
BTW: There may in fact already be observational evidence for the string theory taming of the violent (quantum field theory) quantum foam. Of course, since the observations were made by astronomers (who probably don't study the fine points of string theory ;-), this evidence is not touted as relevant to string theory."
Again I need to see a string theory formula that does same thing as my formulas
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
How do we get the 3rd rank torsion tensor from this 2 index term prior to introducing the connection?
Ref. *Astronomy* September 2003, p. 30, "Time won't be quantized."
See also the URL: http://www.uah.edu/News/2003news/sharp image.html
"The title of this news item from the University of Alabama in Huntsville is ironically misleading. The title is "Does sharp image of distant galaxy shred the fabric of space and time?" Actually, Richard Lieu and Lloyd Hillman (at Huntsville) expected the Hubble telescope pictures of the Airy disks (or rings) generated by distant galaxies to show a quantization of time -- which idea is based on the shredding of spacetime at the Planck scale). The sharpness of the Airy disks was interpreted to mean that time is not quantized at the Planck scale.
This should count as indirect evidence for the string theory taming of the fluctuations of spacetime--via the hidden dimensions of string theory."
Or my formula, which is simpler. Remember my theory also trivially predicts that these Airy disks should be sharp. How is Einstein's equation
Ruv - (1/2)Rguv + /\guv = (8piG/c^4)Tuv
derived in string theory?
I can do that using Hagen Kleinert's methods.
"Thus this could be the first indirect evidence for the hidden dimensions.
The sharp Airy disks from distant galaxies was also confirmed by the independent observations (of different galaxies) by Roberto Ragozzoni of the Max Planck Institute (also using the Hubble telescope). And this confirmation led to the short news item in the September issue of *Astronomy*.
I wrote a letter to *Astronomy* pointing out the Brink and Nielsen calculations mentioned above. I don't know if they will publish my letter. Anyway I sent you a copy of my email letter to *Astronomy* on August 11. And you sent it on to several other people -- so the idea is out there. Don't know if its significance understood.
Nuff said ;-)
Saul-Paul"
I need to see exactly how Brink and Nielsen repeat Ben Franklin's trick of throwing oil on the foamy brine.
My oil is the Vacuum Coherence Field, which in first approximation is a virtual electron-positron pair vacuum condensate with 1D string defects whose phase modulation is Einstein's gravity precisely and whose amplitude modulation is the unified w = -1 exotic vacuum field that can either manifest as repulsive dark energy of huge negative zero point pressure or attractive dark matter with huge positive pressure, so huge, in fact, as to stabilize the repulsive self-electric charge of the lepto-quarks as spatially extended micro-geons of localized exotic vacua of rotating "Mass without mass" with trapped quantized gauge force fluxes with multiply-connected 3D space topologies. They get their marching orders from the QUBIT pilot fields. System points rolling on landscapes. When the system point is no longer a passive test particle but directly influences its own landscape then we have emergent spontaneous self-organization, i.e. Nietzsche's "self-rolling wheel."
----------
From: Jack Sarfatti
To: sarfatti@pacbell.net
Subject: Re: Nova's presentation of Brian Green's "The Elegant Universe"
Date: Wed, Oct 29, 2003, 7:58 AM
On Wednesday, October 29, 2003, at 06:56 AM, ... wrote:
Happened to catch part of this string theory show last night and I'm
not sure that simplistic shows for laymen, like me, are that helpful
if they don't go as far as the meaningful explanations that your web
site presents. Anyway, all the big stars were on the show and I
thought this quote from Steven Weinberg was interesting, from Nova's
website, especially in light of your theory:
"NOVA: What do you see as string theory's greatest failure?
Weinberg: A disappointing aspect of string theory is that it has so
far failed to shed any light at all on what is probably the biggest
outstanding problem in the physics of what we can actually see in
nature -- the failure to understand the energy of empty space, the
so-called cosmological constant. If you try to calculate the energy in
empty space, taking into account only fluctuations in fields of
wavelengths where we understand the physics, you get an incredibly
large energy, much too large to possibly fit what we know about the
expansion of the universe. There must be some complicated
cancellations that make the energy in empty space very small."
Yes, they do not have the idea of vacuum coherence damping down the
random zero point fluctuations -- oil on the waters.
/\zpf = Lp*^-2[1 - Lp*^3Higgs^2]
Higgs = Vacuum Coherence
The nice thing about the additional hologram idea is that
Lp* = Lp^2/3(c/H)^1/3
gives Lp* ~ 1 Gev scale, i.e. 10^-13 cm
the bad thing is that Lp* would seem to be time dependent, which would
I think be falsified because it would say that the mass scale of
lepto-quarks is weakening.
This would, it appears, contradict the observations of old stars at
least. In any case this is a problem I do not yet understand. My theory
does not depend on the hologram idea fortunately but it is a nice
addition to it, if I can resolve this issue.
On Wednesday, October 29, 2003, at 12:08 PM, S-P & M-M Sirag wrote:
"Jack,
I also watched the NOVA program on string theory last night. The answer to Steven Weinberg's question about the cosmological constant (as the energy of empty space) may have been implicit in a key point the program.
Weinberg says: "If you try to calculate the energy in empty space, taking into account only fluctuations in fields of wavelengths where we understand the physics, you get an incredibly large energy, much too large to possibly fit what we know about the expansion of the universe."
For me the most telling moment in Brian Greene's discussion of string theory was when he illustrated the quieting down of the fluctuations of space caused by the fluctuations of the strings."
Yes, I noticed that. That is what I also get with my much simpler model
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
What is the math idea of what Brian was alluding to? Oh you mean finite length of string?
But that is still too big a number when
Cosmological Constant ~ 1/(String Length)^2
"The idea that the zero-point energy of spacetime (based on the Heisenberg uncertainty principle) becomes enormous enough to break spacetime into a quantum foam is based on a quantum field theory view of the fundamental particles as point particles (i.e, zero-dimensional entities)."
Yes, but with my Vacuum Coherence Field = 0 implicitly assumed.
"[Here's a question for the pessimistic Sheldon Glashow: "If it takes an
accelerator the size of the Milky Way galaxy to see something as small as a Planck scale (10^-33 cm) string, how big an accelerator do we need to see a point particle electron (as is assumed in quantum field theory)? After all a point is infinitely smaller than 10^-33 cm. We don't see electrons (or any other point particle) in accelerators; we see their effects at a scale of around 10^-18 cm -- much larger than the point-like scale which is infinitesimal.]"
Not really a fair question.
The idea is that the electron is a "micro-geon" (e.g. Ya Burinski).
Imagine a ring singularity at radius
e^2/mc^2 ~ 1 fermi
perhaps with thickness 1 Newtonian Planck area.
Actually the core of this ring is exotic vacuum "dark matter" with positive pressure holding the charge and compensating the rotations. The plasma cloud of virtual electron-positron pairs and virtual photons extends out to h/mc ~ 10^-11 cm. This is the low energy picture. Hit the electron with huge momentum transfers p and I think the enormous space-warp at the micro-scale will make the electron appear more and more like a point particle ~ 10^-17 cm or so with attainable momentum transfers in high-energy scattering. Similarly for quarks inside the hadrons. Basically the "radius" stays at e^2/mc^ and the "circumference" of the ring shrinks relative to fixed radius. For simplest toy Schwartzschild
effective size of electron (neglecting charge and spin just show the idea) = (e^2/2pimc^2)(1 - 2G*mp/hc^2)^1/2
where G* ~ 10^40G(Newton)
Then use blackhole-string duality to get to your string picture?
"The basic idea of string theory is that the point particles are an
approximation to the tiny (10^-33 cm sized) strings. This entails the
further idea that when one looks at regions of space approaching 10^-33 cm (the Planck length), rather than space fluctuating so violently that it breaks up in a quantum foam, the fluctuations are tame --in fact harmonic-- and the harmonics correspond to the various particle types (including some new particle types whose discovery would confirm the theory--contra to Sheldon Glashow very negative comments concerning the verifiability of string theory)."
I need to see how the math of that actually works. I have some string theory books like Polchinski. Is it in there?
"Moreover--and this is a very big idea--when one looks at regions of space approaching the Planck scale, the spacetime goes hyperdimensional. So it is in effect the tiny unseen dimensions that tame quantum foam (as calculated in quantum field theory)."
What is the actual string theory formula for Einstein's cosmological constant? I have one above in my simple picture which also explains both dark energy and dark matter as w = -1 exotic vacuum phases on the large scale.
"This is actually "ancient history" in string theory, so ancient that it is usually forgotten (if ever noticed). Thirty years ago Lars Brink and H.B. Nielsen did a zero-point energy calculation on the strings (both the bosonic 26 dimensional variety and the 10 dimensional superstring variety). These dimensions were already known by 1973, but by way of very abstract calculations. Brink and Nielsen wanted a more physically intuitive picture of the hidden dimensions. They assumed only that the zero-point energy fluctuations would be absorbed by the harmonic fluctuations of the strings."
Sounds like the "harmonics" play a role similar to my MACRO-QUANTUM Vacuum Coherence Field.
Remember however that I derive Einstein's classical GR equations from modulating the Goldstone Phase of the "More is different" Vacuum Coherence Field which is a giant vacuum local wave not tiny little harmonics.
I also derive dark energy and dark matter from modulating the Higgs amplitude part of the Vacuum Coherence Field.
In polar representation
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase Field)
Einstein's guv is from local gauge invariance compensating fields on the 4-parameter translation subgroup of the 15 parameter Conformal Group.
Dark energy/matter exotic vacuum field is from local gauge invariance compensating field on the 4-parameter mirror translation subgroup of the 15 parameter Conformal Group. (like Tony Smith's "conformal gravitons")
Shipov's torsion field is from local gauge invariance compensating field on 6 parameter Lorentz O(1,3) subgroup of the Conformal Group.
Also the dilation field from the 1 parameter sub-group of the conformal group hence R(t) = e^Ht in the inflation phase.
*Note according to Rindler and Penrose all sorts of stuff breaks down when torsion =/= 0
e.g. no longer d^2 = 0 for exterior differential Cartan forms.
No longer general Stoke's theorem
Integral over domain of d(form) = Integral over boundary of the form
breaks down as does
Boundary of a boundary vanishes for the topology of fields as Wheeler tells IT FROM BIT.
Note also that 4-World Vectors (first rank tensors of Conformal Group) are 2qubit strings of the Bell Basis of quantum cryptography. That's all in Penrose and Rindler though they did not mention "qubits" back in the 80's when the book was written - hence the IT FROM BIT as Penrose spinor (quBIT) substratum of IT space-time!
"What they left to be calculated from this premise was the dimensionality of spacetime in order to remain consistent with this premise. Lo and behold -- the 26-d bosonic dimensions and the 10-d superstring dimensions (which include fermions) drop out of their string zero-point energy calculation."
Is the idea that they impose a vanishing zero point energy density from all strings and from that constraint get the extra-dimensions of space?
The extra dimensions of space, if large, may amp up G(Newton) to G* by 40 powers of ten at the fermi scale in the 3 large ordinary dimensions?
"Ref: L. Brink and H.B. Nielsen, "A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models," *Physics Letters*, 45B:4, 332-336 (6 Aug 1973). This paper is also included as paper #9 in the anthology edited by John H. Schwarz, *Superstrings: the first 15 years of superstring theory* Vol. I (World Scientific, 1985).
BTW: There may in fact already be observational evidence for the string
theory taming of the violent (quantum field theory) quantum foam. Of course, since the observations were made by astronomers (who probably don't study the fine points of string theory ;-), this evidence is not touted as relevant to string theory."
Again I need to see a string theory formula that does same thing as my formulas
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
Ref. *Astronomy* September 2003, p. 30, "Time won't be quantized."
See also the URL: http://www.uah.edu/News/2003news/sharp image.html
"The title of this news item from the University of Alabama in Huntsville is ironically misleading. The title is "Does sharp image of distant galaxy shred the fabric of space and time?" Actually, Richard Lieu and Lloyd Hillman (at Huntsville) expected the Hubble telescope pictures of the Airy disks (or rings) generated by distant galaxies to show a quantization of time -- which idea is based on the shredding of spacetime at the Planck scale). The sharpness of the Airy disks was interpreted to mean that time is not quantized at the Planck scale.
This should count as indirect evidence for the string theory taming of the fluctuations of spacetime--via the hidden dimensions of string theory."
Or my formula, which is simpler.
"Thus this could be the first indirect evidence for the hidden dimensions.
The sharp airy disks from distant galaxies was also confirmed by the
independent observations (of different galaxies) by Roberto Ragozzoni of the Max Planck Institute (also using the Hubble telescope). And this
confirmation led to the short news item in the September issue of
*Astronomy*.
I wrote a letter to *Astronomy* pointing out the Brink and Nielsen
calculations mentioned above. I don't know if they will publish my letter. Anyway I sent you a copy of my email letter to *Astronomy* on August 11. And you sent it on to several other people -- so the idea is out there. Don't know if its significance understood.
Nuff said ;-)
Saul-Paul"
----------
From: Jack Sarfatti
To: sarfatti@pacbell.net
Subject: Re: Nova's presentation of Brian Green's "The Elegant Universe"
Date: Wed, Oct 29, 2003, 7:58 AM
On Wednesday, October 29, 2003, at 06:56 AM, ... wrote:
Happened to catch part of this string theory show last night and I'm
not sure that simplistic shows for laymen, like me, are that helpful
if they don't go as far as the meaningful explanations that your web
site presents. Anyway, all the big stars were on the show and I
thought this quote from Steven Weinberg was interesting, from Nova's
website, especially in light of your theory:
"NOVA: What do you see as string theory's greatest failure?
Weinberg: A disappointing aspect of string theory is that it has so
far failed to shed any light at all on what is probably the biggest
outstanding problem in the physics of what we can actually see in
nature -- the failure to understand the energy of empty space, the
so-called cosmological constant. If you try to calculate the energy in
empty space, taking into account only fluctuations in fields of
wavelengths where we understand the physics, you get an incredibly
large energy, much too large to possibly fit what we know about the
expansion of the universe. There must be some complicated
cancellations that make the energy in empty space very small."
Yes, they do not have the idea of vacuum coherence damping down the
random zero point fluctuations -- oil on the waters.
/\zpf = Lp*^-2[1 - Lp*^3Higgs^2]
The nice thing about the additional hologram idea is that
Lp* = Lp^2/3(c/H)^1/3
gives Lp* ~ 1 Gev scale i.e. 10^-13 cm
the bad thing is that Lp* would seem to be time dependent, which would
I think be falsified because it would say that the mass scale of
lepto-quarks is weakening.
This would, it appears, contradict the observations of old stars at
least. In any case this is a problem I do not yet understand. My theory
does not depend on the hologram idea fortunately but it is a nice
addition to it, if I can resolve this issue.
"Jack,
I also watched the NOVA program on string theory last night. The answer to Steven Weinberg's question about the cosmological constant (as the energy of empty space) may have been implicit in a key point the program.
Weinberg says: "If you try to calculate the energy in empty space, taking into account only fluctuations in fields of wavelengths where we understand the physics, you get an incredibly large energy, much too large to possibly fit what we know about the expansion of the universe."
For me the most telling moment in Brian Greene's discussion of string theory was when he illustrated the quieting down of the fluctuations of space caused by the fluctuations of the strings."
Yes, I noticed that. That is what I also get with my much simpler model
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
What is the math idea of what Brian was alluding to? Oh you mean finite length of string?
But that is still too big a number when
Cosmological Constant ~ 1/(String Length)^2
"The idea that the zero-point energy of spacetime (based on the Heisenberg uncertainty principle) becomes enormous enough to break spacetime into a quantum foam is based on a quantum field theory view of the fundamental particles as point particles (i.e, zero-dimensional entities)."
Yes, but with my Vacuum Coherence Field = 0 implicitly assumed.
"[Here's a question for the pessimistic Sheldon Glashow: "If it takes an
accelerator the size of the Milky Way galaxy to see something as small as a Planck scale (10^-33 cm) string, how big an accelerator do we need to see a point particle electron (as is assumed in quantum field theory)? After all a point is infinitely smaller than 10^-33 cm. We don't see electrons (or any other point particle) in accelerators; we see their effects at a scale of around 10^-18 cm -- much larger than the point-like scale which is infinitesimal.]"
Not really a fair question.
The idea is that the electron is a "micro-geon" (e.g. Ya Burinski).
Imagine a ring singularity at radius
e^2/mc^2 ~ 1 fermi
perhaps with thickness 1 Newtonian Planck area.
Actually the core of this ring is exotic vacuum "dark matter" with positive pressure holding the charge and compensating the rotations. The plasma cloud of virtual electron-positron pairs and virtual photons extends out to h/mc ~ 10^-11 cm. This is the low energy picture. Hit the electron with huge momentum transfers p and I think the enormous space-warp at the micro-scale will make the electron appear more and more like a point particle ~ 10^-17 cm or so with attainable momentum transfers in high-energy scattering. Similarly for quarks inside the hadrons. Basically the "radius" stays at e^2/mc^ and the "circumference" of the ring shrinks relative to fixed radius. For simplest toy Schwartzschild
effective size of electron (neglecting charge and spin just show the idea) = (e^2/2pimc^2)(1 - 2G*mp/hc^2)^1/2
where G* ~ 10^40G(Newton)
Then use blackhole-string duality to get to your string picture?
"The basic idea of string theory is that the point particles are an
approximation to the tiny (10^-33 cm sized) strings. This entails the
further idea that when one looks at regions of space approaching 10^-33 cm (the Planck length), rather than space fluctuating so violently that it breaks up in a quantum foam, the fluctuations are tame --in fact harmonic-- and the harmonics correspond to the various particle types (including some new particle types whose discovery would confirm the theory--contra to Sheldon Glashow very negative comments concerning the verifiability of string theory)."
I need to see how the math of that actually works. I have some string theory books like Polchinski. Is it in there?
"Moreover--and this is a very big idea--when one looks at regions of space approaching the Planck scale, the spacetime goes hyperdimensional. So it is in effect the tiny unseen dimensions that tame quantum foam (as calculated in quantum field theory)."
What is the actual string theory formula for Einstein's cosmological constant? I have one above in my simple picture which also explains both dark energy and dark matter as w = -1 exotic vacuum phases on the large scale.
"This is actually "ancient history" in string theory, so ancient that it is usually forgotten (if ever noticed). Thirty years ago Lars Brink and H.B. Nielsen did a zero-point energy calculation on the strings (both the bosonic 26 dimensional variety and the 10 dimensional superstring variety). These dimensions were already known by 1973, but by way of very abstract calculations. Brink and Nielsen wanted a more physically intuitive picture of the hidden dimensions. They assumed only that the zero-point energy fluctuations would be absorbed by the harmonic fluctuations of the strings."
Sounds like the "harmonics" play a role similar to my MACRO-QUANTUM Vacuum Coherence Field.
Remember however that I derive Einstein's classical GR equations from modulating the Goldstone Phase of the "More is different" Vacuum Coherence Field which is a giant vacuum local wave not tiny little harmonics.
I also derive dark energy and dark matter from modulating the Higgs amplitude part of the Vacuum Coherence Field.
In polar representation
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase Field)
Einstein's guv is from local gauge invariance compensating fields on the 4-parameter translation subgroup of the 15 parameter Conformal Group.
Dark energy/matter exotic vacuum field is from local gauge invariance compensating field on the 4-parameter mirror translation subgroup of the 15 parameter Conformal Group. (like Tony Smith's "conformal gravitons")
Shipov's torsion field is from local gauge invariance compensating field on 6 parameter Lorentz O(1,3) subgroup of the Conformal Group.
Also the dilation field from the 1 parameter sub-group of the conformal group hence R(t) = e^Ht in the inflation phase.
*Note according to Rindler and Penrose all sorts of stuff breaks down when torsion =/= 0
e.g. no longer d^2 = 0 for exterior differential Cartan forms.
No longer general Stoke's theorem
Integral over domain of d(form) = Integral over boundary of the form
breaks down as does
Boundary of a boundary vanishes for the topology of fields as Wheeler tells IT FROM BIT.
Note also that 4-World Vectors (first rank tensors of Conformal Group) are 2qubit strings of the Bell Basis of quantum cryptography. That's all in Penrose and Rindler though they did not mention "qubits" back in the 80's when the book was written - hence the IT FROM BIT as Penrose spinor (quBIT) substratum of IT space-time!
"What they left to be calculated from this premise was the dimensionality of spacetime in order to remain consistent with this premise. Lo and behold -- the 26-d bosonic dimensions and the 10-d superstring dimensions (which include fermions) drop out of their string zero-point energy calculation."
Is the idea that they impose a vanishing zero point energy density from all strings and from that constraint get the extra-dimensions of space?
The extra dimensions of space, if large, may amp up G(Newton) to G* by 40 powers of ten at the fermi scale in the 3 large ordinary dimensions?
"Ref: L. Brink and H.B. Nielsen, "A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models," *Physics Letters*, 45B:4, 332-336 (6 Aug 1973). This paper is also included as paper #9 in the anthology edited by John H. Schwarz, *Superstrings: the first 15 years of superstring theory* Vol. I (World Scientific, 1985).
BTW: There may in fact already be observational evidence for the string
theory taming of the violent (quantum field theory) quantum foam. Of course, since the observations were made by astronomers (who probably don't study the fine points of string theory ;-), this evidence is not touted as relevant to string theory."
Again I need to see a string theory formula that does same thing as my formulas
Cosmological Constant = (Planck Area)^-1[1 - (Planck Volume)(Vacuum Coherence)^2]
Also Einstein's c-number emergent MACRO-QUANTUM coherent Sakharov "metric elasticity" tensor
guv = Minkowski tensor + (Planck Area)(Goldstone Phase)(,u,v)
( ) is symmetrizer of partial derivatives ,u & ,v
Basic torsion field is
Suv = Planck Area)(Goldstone Phase)[,u,v]
[ ] is anti-symmetrizer (same notation as Penrose & Rindler)
Ref. *Astronomy* September 2003, p. 30, "Time won't be quantized."
See also the URL: http://www.uah.edu/News/2003news/sharp image.html
"The title of this news item from the University of Alabama in Huntsville is ironically misleading. The title is "Does sharp image of distant galaxy shred the fabric of space and time?" Actually, Richard Lieu and Lloyd Hillman (at Huntsville) expected the Hubble telescope pictures of the Airy disks (or rings) generated by distant galaxies to show a quantization of time -- which idea is based on the shredding of spacetime at the Planck scale). The sharpness of the Airy disks was interpreted to mean that time is not quantized at the Planck scale.
This should count as indirect evidence for the string theory taming of the fluctuations of spacetime--via the hidden dimensions of string theory."
Or my formula, which is simpler.
"Thus this could be the first indirect evidence for the hidden dimensions.
The sharp airy disks from distant galaxies was also confirmed by the
independent observations (of different galaxies) by Roberto Ragozzoni of the Max Planck Institute (also using the Hubble telescope). And this
confirmation led to the short news item in the September issue of
*Astronomy*.
I wrote a letter to *Astronomy* pointing out the Brink and Nielsen
calculations mentioned above. I don't know if they will publish my letter. Anyway I sent you a copy of my email letter to *Astronomy* on August 11. And you sent it on to several other people -- so the idea is out there. Don't know if its significance understood.
Nuff said ;-)
Saul-Paul"
----------
From: Jack Sarfatti
To: sarfatti@pacbell.net
Subject: Re: Nova's presentation of Brian Green's "The Elegant Universe"
Date: Wed, Oct 29, 2003, 7:58 AM
On Wednesday, October 29, 2003, at 06:56 AM, ... wrote:
Happened to catch part of this string theory show last night and I'm
not sure that simplistic shows for laymen, like me, are that helpful
if they don't go as far as the meaningful explanations that your web
site presents. Anyway, all the big stars were on the show and I
thought this quote from Steven Weinberg was interesting, from Nova's
website, especially in light of your theory:
"NOVA: What do you see as string theory's greatest failure?
Weinberg: A disappointing aspect of string theory is that it has so
far failed to shed any light at all on what is probably the biggest
outstanding problem in the physics of what we can actually see in
nature -- the failure to understand the energy of empty space, the
so-called cosmological constant. If you try to calculate the energy in
empty space, taking into account only fluctuations in fields of
wavelengths where we understand the physics, you get an incredibly
large energy, much too large to possibly fit what we know about the
expansion of the universe. There must be some complicated
cancellations that make the energy in empty space very small."
Yes, they do not have the idea of vacuum coherence damping down the
random zero point fluctuations -- oil on the waters.
/\zpf = Lp*^-2[1 - Lp*^3Higgs^2]
The nice thing about the additional hologram idea is that
Lp* = Lp^2/3(c/H)^1/3
gives Lp* ~ 1 Gev scale i.e. 10^-13 cm
the bad thing is that Lp* would seem to be time dependent, which would
I think be falsified because it would say that the mass scale of
lepto-quarks is weakening.
This would, it appears, contradict the observations of old stars at
least. In any case this is a problem I do not yet understand. My theory
does not depend on the hologram idea fortunately but it is a nice
addition to it, if I can resolve this issue.
Monday, October 27, 2003
bcc
See comment on Tony Smith's "conformal gravitons" below.
Just in. Thanks Scott. :-)
Message 1
On Monday, October 27, 2003, at 03:16 PM, Scott Littleton wrote:
Hi Jack,
Let me take a moment away from the TV, where we've been watching the progress of the horrendous local fires and hoping they don't come any closer to Pasadena, to comment on Robert Sheaffer's recent comment that "It is exceedingly unlikely that UFOs... are real entities, they are mostly due to 'random errors' occurring in the human perceptual and social-belief formation system. There is noise in every information channel, and our society has agreed to describe a certain kind of that noise as "UFOs." While we may argue about their origin and purpose, it has long since become abundantly clear that what we call "UFOs" are not simply "noise." Unless the thousands of internally consistent reports by credible witnesses, including abductees, are some form of mass hallucination, these phenomena clearly have an objective existence. Moreover, as a student of comparative mythology and folklore, I can firmly attest that the patterns reported by contemporary witnesses and "experiencers" jibe remarkably well with pre-modern accounts of "flying shields," abductions to "fairy-land" by short creatures with big eyes and pointed, "elfin" chins, missing-time episodes, and rides in "flying wheels" a la Ezekiel's famous trip.
To ignore all this evidence, "soft" though it most of it may be (although I strongly suspect that despite a half-century of stonewalling, some members of the U.S. and other intelligence communities-the CIA, MI6, the old KGB, etc.-have in their possession an abundance of "hard" evidence garnered from Roswell, Kecksburg, and other UFO crash sites), is to wallow in a state of denial so all-embracing that it beggars the imagination. Or do debunkers like Sheaffer, Oberg, Klass, and the rest have another, more devious agenda, that is, to further the Government's long-standing policy of keeping the lid on by systematically ridiculing those of us who suspect the truth about this phenomenon, all the while being privy to above-top-secret knowledge that would prove us right? One wonders....
All best wishes &
Cheers,
Scott
C. SCOTT LITTLETON
President, Phi Beta Kappa Alumni in Southern California
Professor of Anthropology, Emeritus
Occidental College
Los Angeles, CA 90041
TEL (323) 255-5477
FAX (323) 982-0264
http://www.oxy.edu/~yokatta/home.htm
"Any sufficiently advanced technology is
indistinguishable from magic"
--Sir Arthur C. Clarke
"I think we're property. . ."
--Charles Fort
Again, the basic "exotic" physics of Chapter 9 of Sir Martin Rees's WMD book "Our Final Hour" as well as how UFOs, if they are real, would have to fly via metrically engineered weightless warp drive (local absence of g-force) in my opinion is summarized in http://qedcorp.com/APS/StarGate1.mov However, again I emphasize that the physics there in no way depends on whether or not UFOs are real. If they are not real now, if my physics is on the right path, they will be!
Message 2
From: Jack Sarfatti
To: "Gary S. Bekkum"
Subject: Re: CHINA - Quantum Vacuum Reaction WMD research?
Date: Sat, 11 Oct 2003 10:31:38 -0700
Thanks Gary, looks relevant. The second paper below by Ning Wu sounds relatively close to the sorts of ideas I am playing with relevant to Martin Rees's Chapter 9 in "Our Final Hour". ...
Agent X from Russia commented:
.. I'm aware about existence in f. USSR of strategical scenarios of "psychotronic war games" - in course of which were resolved problems of minimization of collateral damage to civilian population, maximizing at the same time efficiency of influencing of decision-making of national leaders of target countries.
Dr. Sergeyev told me that similar data were in possession of our Western colleagues; - with whom Russian military elite routinely shared most essential strategical information (as correctly wrote Ph. Corso: see on p. 94-95 of '97 edition of his book), so as not to break mutual trust which during Cold War years had been the principal basis of Global Stability. (Of course, it wasn't necessary to carry across borders carloads of technical papers - for intelligent enough people, comprising intellectual elite, it was sufficient few words. Here can be drawn parallels with first years of Atomic Era: sources of Soviet "atomic spies" in USA - including such top scientists as Einstein, Oppenheimer, Bohr & others - needed just to tell few words to such Soviet "scientific agents" as Ya. Terletsky etc.)"
See my comments on this in Pavel Sudoplatov's "Special Tasks" paperback ed. with foreword by Robert Conquest of the Hoover Inst. Stanford.
"Majority of competent Soviet (and post-Soviet) experts in this area feel it to be morally permissible to use in cases of extreme necessity "surgical psychotronic strikes" against selected "human targets" instead of destructive & inefficient massive interventions like Vietnam, Afghanistan & Iraq; - which bring much needless suffferings to innocent civilians, lots of political problems, terrible financial expenses - and almost no positive results. Regretfully, collapse of f. USSR stopped development of selective varieties of "psychotronic genome weapons" which might be precisely aimed at genome patterns of some chosen "human target" - this was long before lists of "death genes" became freely obtainable from Internet. As I've mentioned, in 1989 in Kiev - then an important center of Soviet psychotronic research - there were performed tests of "non-selective" torsionic weapons, capable to interfere with some of biochemical reactions inside the cell; - whose influence could not be shielded by any material screens. However, these - compact enough to be installed on a satellite & requiring very little electric power - devices couldn't function as an efficient weapon, as their effects took too much time (perhaps, years) to manifest themselves (because of this such weapons weren't used in Afghanistan & Chechnya). Soviet experts guessed that in order to create really efficient swift weapon there must be undertaken more thorough research, involving use of supercomputers for precise calculation of resonance frequencies of vulnerable genes (in fact, they believe that this is the main task of recently built in USA for genetic research "Blue Gene" supercomputer with teraflop processing speed)."
My comments on above. I cannot comment on the particulars of the above allegations. We did have Gennady Shipov here from Moscow for extended visits in 1999-2000 as part of the ISSO effort to try to figure out the "torsion physics". I did not make much progress until perhaps only a few days ago because of a remark from Professor Thomas Angelides in London about the structure of the Penrose Masseless Twistor Conformal Group SU(2,2) or SU(4) depending on topological signature in 4 complex dimensions.
Professor Angelides pointed out that 4 of the 5 extra elements of the Lie Algebra of the Conformal Group are a kind of mirrored version of the translation subgroup of the Poincare group. The "Fifth Element" is the dilation group implicit in inflation where in the FRW metric
R(t) ~ e^Ht
H is the Hubble not the Hamiltonian. ;-)
Now in my toy model, the Dirac vacuum for the electron in globally flat space-time is unstable to the BCS formation of a ODLRO BEC of virtual electron-positron pairs due to virtual photon exchange near the edge of the -mc^2 Fermi surface.
This results in the microscopic derivation of the Vacuum Coherence Field, which in the large scale is the Inflation Field
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase)
Since the Vacuum Coherence Field is a complex scalar field the ONLY topological defects in 3D space must be 1D strings sweeping out a world sheet as further explained in this thread by Saul-Paul Sirag. This is a nice after thought.
This is a toy model. The rest of the lepto-quarks will have to be considered later.
Note that Haisch, Puthoff, Rueda, Marshall, Cole et-al zero point energy gravity program fails to ask the right questions because vacuum coherence is entirely lacking in their model.
Utiyama in the 60's showed that local gauging of the classical Poincare group of special relativity gave Einstein's curved space-time geometrodynamic symmetric tensor field from the 5 energy-momentum generators of the Lie algebra of the translation subgroup. Locally gauging the 6 space-time rotations of the Lorentz subgroup of the invariant light cones of null geodesics ds = 0 gave the torsion antisymmetric tensor field years before Shipov rederived it in Moscow probably without knowing of Utiyama's work in Japan.
It is common knowledge that the rest mass of elementary lepto-quarks and the weak radioactive gauge force bosons required breaking down the 15 parameter Conformal Group to the 10 parameter Poincare group.
It is also common knowledge that the rest mass of these particles comes from the Higgs field in the standard U(1)xSU(2)xSU(3) with Higgs-Goldstone BCS type phase transitions in the quantum vacuum.
In my theory
Einstein's Diff(4) symmetric geometrodynamic field comes from the modulation or rippling of the coherent Goldstone phase of the Vacuum Coherence Field.
Indeed, the 4 generators of the translation subgroup of the Poincare group of special relativity are Pu ~ h/id/dx^u
The Sakharov metric elasticity field is simply (without holographic t'Hooft-Sussking renormalization at first) (Lp^2/ih)Pu(Goldstone Phase).
Lp^2 = hG(Newton)/c^3 ~ 10^-66 cm^2
I need a second set of generators P'u from the Conformal Group operating on the Higgs Field to get the unified Dark Energy/Matter w = -1 exotic vacuum field
/\zpf* = Lp*^2[1 - Lp*^3(Higgs Field)^2]
where if
Lp* = Lp^2/3(c/H*)^1/3
where H is the Hubble , which clearly needs a more a-temporal meaning in terms of the constant total mass M of the Universe inside the expanding Hubble horizon.
That is
GM/c^2 = c/H* independent of cosmic time t and the FRW scaling R(t) of the dimensionless comoving r coordinate of the Hubble flow.
M = M(on mass shell real matter + radiation) + M(near EM fields) + M(exotic vacuum fields)
M is a contingent WAP initial condition of the Level 1 parallel universe (Max Tegmark, May 2003 Scientific American)
M(exotic vacuum) = M(dark energy) + M(dark matter)
M(dark energy) ~ 0.73M
M(dark matter) ~ 0.23M
M(on mass shell real matter + radiation) + M(near EM fields) ~ 0.04M
Not to be confused with the LARGE-SCALE ONLY cosmic time-dependent
H(t) = R(t)^-1(dR(t)/dt)
Note that the time dependent densities scale as
R(t)^-3 for real matter with w ~ 0
R(t)^-4 for real EM radiation like the CMB with w = +1/3
and independent of R(t) for exotic vacuum with w = -1 from Einstein's equivalence principle + Heisenberg's uncertainty principle
Where the equation of state of ALL STUFF REAL OR VIRTUAL is
w = pressure/(energy density)
The electron rest mass is
m ~ (e/c)^2/\zpf*^1/2
from the strongly attractive "dark matter" vortex ring core of positive zero point energy pressure where Higgs Field --> 0 like in a quantized vortex string of a superfluid.
Indeed, /\zpf =/= 0 comes from modulating or rippling the Higgs field.
That is, in the sense of a Taylor series expansion about the normal vacuum
(Higgs Field)^2Lp*^3 = 1 where Einstein's Cosmological Constant VANISHES from pouring macro-quantum coherent oil on the random chaotic micro-quantum zero point fluctuations of ALL quantum fields. This stillness was the calm before the storm of the Big Bang reheating post-inflation in this decoding of The Cipher of Genesis (Carlo Suares). ;-)
/\zpf ~ Lp*^2(Pu'/ih)(Higgs Field)^2
that can be positive or negative giving Dark Energy or Dark Matter respectively.
The Pu' are from the mirror translation subgroup of the Conformal Group.
Let PSI = Vacuum Coherence Field
(PSI),u = Higgs e^iGoldstone iGoldstone,u + Higgs,u e^iGoldstone
= e^iGoldstone [Higgs(Pu/ih)Goldstone + (Pu'/ih)Higgs]
= Translation Gradient Ripple + Mirrored Conformal Translation Gradient Ripple
= Einstein Gravity Ripple + Exotic Vacuum (Dark Energy/Matter) Ripple
The quanta "normal fluid noise" of these ripples in the emergent "More is different" (PW Anderson) vacuum superfluid signal are
Einstein's "gravitons" and Tony Smith's "conformal gravitons".
See comment on Tony Smith's "conformal gravitons" below.
Just in. Thanks Scott. :-)
Message 1
On Monday, October 27, 2003, at 03:16 PM, Scott Littleton wrote:
Hi Jack,
Let me take a moment away from the TV, where we've been watching the progress of the horrendous local fires and hoping they don't come any closer to Pasadena, to comment on Robert Sheaffer's recent comment that "It is exceedingly unlikely that UFOs... are real entities, they are mostly due to 'random errors' occurring in the human perceptual and social-belief formation system. There is noise in every information channel, and our society has agreed to describe a certain kind of that noise as "UFOs." While we may argue about their origin and purpose, it has long since become abundantly clear that what we call "UFOs" are not simply "noise." Unless the thousands of internally consistent reports by credible witnesses, including abductees, are some form of mass hallucination, these phenomena clearly have an objective existence. Moreover, as a student of comparative mythology and folklore, I can firmly attest that the patterns reported by contemporary witnesses and "experiencers" jibe remarkably well with pre-modern accounts of "flying shields," abductions to "fairy-land" by short creatures with big eyes and pointed, "elfin" chins, missing-time episodes, and rides in "flying wheels" a la Ezekiel's famous trip.
To ignore all this evidence, "soft" though it most of it may be (although I strongly suspect that despite a half-century of stonewalling, some members of the U.S. and other intelligence communities-the CIA, MI6, the old KGB, etc.-have in their possession an abundance of "hard" evidence garnered from Roswell, Kecksburg, and other UFO crash sites), is to wallow in a state of denial so all-embracing that it beggars the imagination. Or do debunkers like Sheaffer, Oberg, Klass, and the rest have another, more devious agenda, that is, to further the Government's long-standing policy of keeping the lid on by systematically ridiculing those of us who suspect the truth about this phenomenon, all the while being privy to above-top-secret knowledge that would prove us right? One wonders....
All best wishes &
Cheers,
Scott
C. SCOTT LITTLETON
President, Phi Beta Kappa Alumni in Southern California
Professor of Anthropology, Emeritus
Occidental College
Los Angeles, CA 90041
TEL (323) 255-5477
FAX (323) 982-0264
http://www.oxy.edu/~yokatta/home.htm
"Any sufficiently advanced technology is
indistinguishable from magic"
--Sir Arthur C. Clarke
"I think we're property. . ."
--Charles Fort
Again, the basic "exotic" physics of Chapter 9 of Sir Martin Rees's WMD book "Our Final Hour" as well as how UFOs, if they are real, would have to fly via metrically engineered weightless warp drive (local absence of g-force) in my opinion is summarized in http://qedcorp.com/APS/StarGate1.mov However, again I emphasize that the physics there in no way depends on whether or not UFOs are real. If they are not real now, if my physics is on the right path, they will be!
Message 2
From: Jack Sarfatti
To: "Gary S. Bekkum"
Subject: Re: CHINA - Quantum Vacuum Reaction WMD research?
Date: Sat, 11 Oct 2003 10:31:38 -0700
Thanks Gary, looks relevant. The second paper below by Ning Wu sounds relatively close to the sorts of ideas I am playing with relevant to Martin Rees's Chapter 9 in "Our Final Hour". ...
Agent X from Russia commented:
.. I'm aware about existence in f. USSR of strategical scenarios of "psychotronic war games" - in course of which were resolved problems of minimization of collateral damage to civilian population, maximizing at the same time efficiency of influencing of decision-making of national leaders of target countries.
Dr. Sergeyev told me that similar data were in possession of our Western colleagues; - with whom Russian military elite routinely shared most essential strategical information (as correctly wrote Ph. Corso: see on p. 94-95 of '97 edition of his book), so as not to break mutual trust which during Cold War years had been the principal basis of Global Stability. (Of course, it wasn't necessary to carry across borders carloads of technical papers - for intelligent enough people, comprising intellectual elite, it was sufficient few words. Here can be drawn parallels with first years of Atomic Era: sources of Soviet "atomic spies" in USA - including such top scientists as Einstein, Oppenheimer, Bohr & others - needed just to tell few words to such Soviet "scientific agents" as Ya. Terletsky etc.)"
See my comments on this in Pavel Sudoplatov's "Special Tasks" paperback ed. with foreword by Robert Conquest of the Hoover Inst. Stanford.
"Majority of competent Soviet (and post-Soviet) experts in this area feel it to be morally permissible to use in cases of extreme necessity "surgical psychotronic strikes" against selected "human targets" instead of destructive & inefficient massive interventions like Vietnam, Afghanistan & Iraq; - which bring much needless suffferings to innocent civilians, lots of political problems, terrible financial expenses - and almost no positive results. Regretfully, collapse of f. USSR stopped development of selective varieties of "psychotronic genome weapons" which might be precisely aimed at genome patterns of some chosen "human target" - this was long before lists of "death genes" became freely obtainable from Internet. As I've mentioned, in 1989 in Kiev - then an important center of Soviet psychotronic research - there were performed tests of "non-selective" torsionic weapons, capable to interfere with some of biochemical reactions inside the cell; - whose influence could not be shielded by any material screens. However, these - compact enough to be installed on a satellite & requiring very little electric power - devices couldn't function as an efficient weapon, as their effects took too much time (perhaps, years) to manifest themselves (because of this such weapons weren't used in Afghanistan & Chechnya). Soviet experts guessed that in order to create really efficient swift weapon there must be undertaken more thorough research, involving use of supercomputers for precise calculation of resonance frequencies of vulnerable genes (in fact, they believe that this is the main task of recently built in USA for genetic research "Blue Gene" supercomputer with teraflop processing speed)."
My comments on above. I cannot comment on the particulars of the above allegations. We did have Gennady Shipov here from Moscow for extended visits in 1999-2000 as part of the ISSO effort to try to figure out the "torsion physics". I did not make much progress until perhaps only a few days ago because of a remark from Professor Thomas Angelides in London about the structure of the Penrose Masseless Twistor Conformal Group SU(2,2) or SU(4) depending on topological signature in 4 complex dimensions.
Professor Angelides pointed out that 4 of the 5 extra elements of the Lie Algebra of the Conformal Group are a kind of mirrored version of the translation subgroup of the Poincare group. The "Fifth Element" is the dilation group implicit in inflation where in the FRW metric
R(t) ~ e^Ht
H is the Hubble not the Hamiltonian. ;-)
Now in my toy model, the Dirac vacuum for the electron in globally flat space-time is unstable to the BCS formation of a ODLRO BEC of virtual electron-positron pairs due to virtual photon exchange near the edge of the -mc^2 Fermi surface.
This results in the microscopic derivation of the Vacuum Coherence Field, which in the large scale is the Inflation Field
Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase)
Since the Vacuum Coherence Field is a complex scalar field the ONLY topological defects in 3D space must be 1D strings sweeping out a world sheet as further explained in this thread by Saul-Paul Sirag. This is a nice after thought.
This is a toy model. The rest of the lepto-quarks will have to be considered later.
Note that Haisch, Puthoff, Rueda, Marshall, Cole et-al zero point energy gravity program fails to ask the right questions because vacuum coherence is entirely lacking in their model.
Utiyama in the 60's showed that local gauging of the classical Poincare group of special relativity gave Einstein's curved space-time geometrodynamic symmetric tensor field from the 5 energy-momentum generators of the Lie algebra of the translation subgroup. Locally gauging the 6 space-time rotations of the Lorentz subgroup of the invariant light cones of null geodesics ds = 0 gave the torsion antisymmetric tensor field years before Shipov rederived it in Moscow probably without knowing of Utiyama's work in Japan.
It is common knowledge that the rest mass of elementary lepto-quarks and the weak radioactive gauge force bosons required breaking down the 15 parameter Conformal Group to the 10 parameter Poincare group.
It is also common knowledge that the rest mass of these particles comes from the Higgs field in the standard U(1)xSU(2)xSU(3) with Higgs-Goldstone BCS type phase transitions in the quantum vacuum.
In my theory
Einstein's Diff(4) symmetric geometrodynamic field comes from the modulation or rippling of the coherent Goldstone phase of the Vacuum Coherence Field.
Indeed, the 4 generators of the translation subgroup of the Poincare group of special relativity are Pu ~ h/id/dx^u
The Sakharov metric elasticity field is simply (without holographic t'Hooft-Sussking renormalization at first) (Lp^2/ih)Pu(Goldstone Phase).
Lp^2 = hG(Newton)/c^3 ~ 10^-66 cm^2
I need a second set of generators P'u from the Conformal Group operating on the Higgs Field to get the unified Dark Energy/Matter w = -1 exotic vacuum field
/\zpf* = Lp*^2[1 - Lp*^3(Higgs Field)^2]
where if
Lp* = Lp^2/3(c/H*)^1/3
where H is the Hubble , which clearly needs a more a-temporal meaning in terms of the constant total mass M of the Universe inside the expanding Hubble horizon.
That is
GM/c^2 = c/H* independent of cosmic time t and the FRW scaling R(t) of the dimensionless comoving r coordinate of the Hubble flow.
M = M(on mass shell real matter + radiation) + M(near EM fields) + M(exotic vacuum fields)
M is a contingent WAP initial condition of the Level 1 parallel universe (Max Tegmark, May 2003 Scientific American)
M(exotic vacuum) = M(dark energy) + M(dark matter)
M(dark energy) ~ 0.73M
M(dark matter) ~ 0.23M
M(on mass shell real matter + radiation) + M(near EM fields) ~ 0.04M
Not to be confused with the LARGE-SCALE ONLY cosmic time-dependent
H(t) = R(t)^-1(dR(t)/dt)
Note that the time dependent densities scale as
R(t)^-3 for real matter with w ~ 0
R(t)^-4 for real EM radiation like the CMB with w = +1/3
and independent of R(t) for exotic vacuum with w = -1 from Einstein's equivalence principle + Heisenberg's uncertainty principle
Where the equation of state of ALL STUFF REAL OR VIRTUAL is
w = pressure/(energy density)
The electron rest mass is
m ~ (e/c)^2/\zpf*^1/2
from the strongly attractive "dark matter" vortex ring core of positive zero point energy pressure where Higgs Field --> 0 like in a quantized vortex string of a superfluid.
Indeed, /\zpf =/= 0 comes from modulating or rippling the Higgs field.
That is, in the sense of a Taylor series expansion about the normal vacuum
(Higgs Field)^2Lp*^3 = 1 where Einstein's Cosmological Constant VANISHES from pouring macro-quantum coherent oil on the random chaotic micro-quantum zero point fluctuations of ALL quantum fields. This stillness was the calm before the storm of the Big Bang reheating post-inflation in this decoding of The Cipher of Genesis (Carlo Suares). ;-)
/\zpf ~ Lp*^2(Pu'/ih)(Higgs Field)^2
that can be positive or negative giving Dark Energy or Dark Matter respectively.
The Pu' are from the mirror translation subgroup of the Conformal Group.
Let PSI = Vacuum Coherence Field
(PSI),u = Higgs e^iGoldstone iGoldstone,u + Higgs,u e^iGoldstone
= e^iGoldstone [Higgs(Pu/ih)Goldstone + (Pu'/ih)Higgs]
= Translation Gradient Ripple + Mirrored Conformal Translation Gradient Ripple
= Einstein Gravity Ripple + Exotic Vacuum (Dark Energy/Matter) Ripple
The quanta "normal fluid noise" of these ripples in the emergent "More is different" (PW Anderson) vacuum superfluid signal are
Einstein's "gravitons" and Tony Smith's "conformal gravitons".
Wednesday, October 22, 2003
Caveat: I am not endorsing this information. Checking it is beyond my competence. I hope scholars in the field will do so.
Listen however to http://qedcorp.com/book/psi/hitweapon.html that I wrote in 1978.
I head most of the New Age Consciousness Movement story below back at Esalen in Big Sur in 1976, though with less detail.
Note also Nick Cook's "Hunt for the Zero Point" for "The Party Line"
See also Erik Davis's "Tech Gnosis" and Picknett & Princes's "The Star Gate Conspiracy" as well as my autobiography "Destiny Matrix."
On Wednesday, October 22, 2003, at 11:38 AM, X living in Russia today wrote:
"It was interesting to know about life of your distant relative Margherita Sarfatti, and your opinions on "political metaphysics" of fascist movements.
Now in Russia there exists great interest in these problems - there are published a lot of serious research on this subject: both by Russian & foreign experts. (Most prominent from Russian experts is Dr. A. Dugin - who is connected with a wide & influential network. He even tried to be elected to Russian Parliament - but failed because his ideas, unlike those of similarly minded "populist" Zhirinovsky, are too abstruse for the wide masses of Russian population. He also writes about "mystic relationships" between The Leader & The People - using such developed by psi-research concepts as "psychic resonance" etc. It's said that his network includes many people from f. Soviet psi-research institutions, which are now trying to develop efficient technologies of control of "mass psyche", which might improve electoral chances of their candidates. No technology, however, will be helpful if there isn't present natural/God-given Leader's > charisma.)
I myself feel considerable interest towards problems of "political metaphysics" of totalitarian regimes: I've exchanged a considerable amount of materials on this subject with world-renowned British explorer, my f. SMN colleague Dr. Nicholas Goodrick-Clarke: author of published in Russia "Occult Roots of Nazism".
This interest (besides of the fact of my living larger part of my life in a totalitarian country) is mainly due to my acquaintance more than 30 years ago with an extremely interesting person: Dr. of Occult Sciences (this title was awarded to him by Berlin Univ. in '30s) Sergey A. Vronsky: born in 1915 in St Petersburg in a noble Russia family - some members of which (including baby Sergey) managed to flee from Bolshevik terror (those who didn't were killed). Because of his great talents Dr. Vronsky managed to become in Germany a member of Ahnenerbe's Inner Circle (becoming even - according to his words which I had no means to check - a personal friend of Rudolf Hess & Heinrich Himmler: who, according to Vronsky, didn't die in 1945 - knowing since 1942 about inevitable defeat of Germany, Himmler had prepared in advance his "zombified double", - which allowed himself to be arrested by English - and then promptly killed himself, not allowing to carry detailed enough for reliable identification interrogation; the place of "fake Himmler's" burial is unknown - which doesn't allow to perform DNA-based identification; Vronsky said that real Himmler fled to German Antarctic colony "Neu Schwabenland" - where he could have lived many years after his presumed "death"). In 1942 Vronsky "defected" back to USSR (having hijacked - as he said - a German plane through hypnotizing its pilot; however, it might well be that he was sent here by Himmler as a long-term "agent-in-place" - his high qualification ensured that he'd be able to penetrate top levels of Soviet esoteric/psi-research community; Vronsky - who, as a true esotericist, was using "shadow language" mixed of 50% facts & equal quantity of fiction (as allegedly - according to Salman Rushdie's "Satanic Verses" - did Muhammed, - and also, - according to His own words, - Lord Buddha!) - told me that after 1942 Ahnenerbe started large-scale program of sending "reincarnation agents" into enemy nations: Tibetan lamas from a special section of Ahnenerbe guided souls of those dedicated SS people who sacrificed their physical bodies to fulfil this mission into incarnation in a specific time & place - there are even circulating rumours that President Putin is one of such "Ahnenerbe babies", which are based on his well-known spiritual affinity with Germany & curious, from Qabbalists' viewpoint, fact that he was born exactly 52 years after Himmler on 7 Oct 1952, and number 52 signifies in Qabbala "son" - so he is believed by some to be a "Spiritual Son (SS)" of Heinrich Himmler himself! Such rumours' credibility is reinforced by often mentioned (see in widely sold in Russia book about Putin "A German in Kremlin" by A. Rahr from Radio Liberty) fact that he came to power - or at least political visibility as Prime Minister - in time indicated in famous Nostradamus' Prophecy about "King of Teror which'll come down from Sky" in "7th month of 1999": 9 August (date of official founding of Ahnenerbe in 1937) was, according to Julian calendar used by Nostradamus, belonging to 7th month!).
Dr. Vronsky - who took special interest to me (because, he said, "I had a German-Ukrainian relative in Neu Schwabenland": according to him, about 80% of original population of this subglacial Antarctic colony formed Ukrainian women deported in '42 by M. Borman; I myself am half-Ukrainian ethnically) - had introduced me into some of esoteric principles of so-called "Aryan science", taught to members of Ahnenerbe's Inner Circle; - on which were based such activities of Ahnenerbe as design of vortex energies ("torsionic") devices for extraction of ZPE (including engines of German "man-made UFOs").
Most prominent role there had played a variant of "Cosmic Superstring theory" (see an article by A. Gangui in May/June 2000 issue of "American Scientist"); - which might be regarded as an attempt to give scientific formulation of ancient legend (believed not only by Nordic nations but also African Dogons) about enclosing: simultaneously imprisoning & sustaining our Universe World Serpent. (This idea/vision is transformed in such highly developed metaphysical system as Hindu Tantrism - one of practitioners of whose "mathematical variety" was S. Ramanujan - into worship of serpent-like body of Goddess of Form Kundalini Shakti; - which was visulized by Ramanujan as Natural Numbers' Series, forming - as wrote disciple of C. Jung M.-L. von Franz - "an interface between The Realms of Matter & Psyche".)
A mathematical problem arising from such model is this: let us imagine (as did A. Gangui) a weightless
infinitely flexible superconductive "superstring with current", suspended in the Primordial Void. Its shape then will be determined only by dynamic fields generated by circulating along such string impulses of current (such impulses might have very complex fractal patterns, growing in complexiity as such system continues to function) - as some segments of such string will alternatively attract & repel others, forming some dynamic tensegrity pattern. The problem is how there might be deduced a formula/algorithm, describing relations between the structure of current's impulse & the shape of (multidimensional) string, through which this current is circulating. Deduction of such formula (or rather development of efficient enough approximate calculation algorithm) was my main task while working in Dr. Sergeyev's group; - because possession of such formula will be very important for solution of many applied problem in psychotronics (eg, connected with optimal design of scalar waves' generators: see one of my Comments to S. Greer's book)."
The way what the above is dimly pointing to really works in mainstream theoretical physics language consistent with the new 1999 discovery of "dark energy" permeating the cosmos is revealed in:
http://qedcorp.com/APS/StarGate1.mov
http://qedcorp.com/APS/WheelerAustin.ppt (you can control this version at your own speed)
It's known that N. Tesla had - already in 19th century - performed "esoteric" experiments; - circulating precisely modulated impulses of high-voltage current along Moebius-shaped metallic loops. In '80s-'90s these experiments were repeated - on modern theoretical & technological level - by Russian researcher Dr. Shakhparonov (see in "New Ideas in Natural Science", publ. in '96 by Dr. N. Begich's Earthpulse Press in Anchorage, AK); - who claimed to have received, under some precisely defined conditions, Dirac's magnetic monopoles (MMs). (As predicted Russian theoretician Dr. Rubakov in '80, these MMs produced in Shakhparonov's experiments started to annihilate catalytically protons of ambient air - producing ball lightning-like phenomena. A military colleague of Dr. Shakhparonov V. Korshunov ('korshun" is 'hawk' in Russian) proposed to use MM's generator as "an absolute superweapon" against which there will exist no defence, as it'll be capable to annihilate anything material which'll touch it.
I myself offered more peaceful use for such device - proposing to install it on board of Dr. Saenger's photonic interstellar spaceship: it'll allow to get rid of necessity to store on board of such ship antiprotons for annihilation of interstellar protons, - which storage presents most difficult problem because of high risks & tremendous energy expenses needed for generation of antimatter.)"
See my short lecture on this in DVD Star Trek IV Special Collector's Edition Disk 2 "Time Travel: The Art of the Possible."
"Dr. Shakhparonov himself believes that these MMs aren't created "from nothing" but rather "teleported" - via "virtual hypertunnel" created by "Moebius loop with fractal pulse of current" - from "pre-inflationary Universe"; - where they abound, according to popular Zeldovich-Novikov cosmogonic theory. (Formation of such "teleportation hypertunnel" - similar in some aspects to that described by C. Sagan in "Contact" - may be explained as "instinctual/reflex action" of "Holographic Torsionic Brain/Mind of Universe" (cf. description of "Global Mind of Solaris" from Tarkovski's highly popular film, based on St. Lem's SF novel) , automatically reacting to generated by Moebius loop scalar fields of specific patterns: "morphemes of Universe's natural geometrodynamic language".)
Elaborating his experimental designs, Dr. Shakhparonov had claimed to produce - by altering patterns of current impulses & configurations of current-carrying conductors - galaxy-shaped patterns; - which had evolved in ways similar to those predicted by modern cosmology.
(Here may be interesting also to note, that attempts to reproduce visually - with the help of computer visualization techniques - some of cosmological theories describing process of Universal Evolution led to
creation of "dynamic computer mandalas" possessing high psychoactive properties: as if kind of "visual LSD", capable to influence human psychic activities (although it's much more difficult to direct such influences properly). This might support hypothesis about essential structural similarity between Design of Universe & design of a brain; - which was proposed by J. Hurtak & a number of other researchers (including Roerichs & Acad. Markov in Russia)."
Bingo! Hurtak again!
"Dr. Vronsky - who died in 1998 in Riga, Latvia - said before his death (after "perestroika"), that it is not yet fully exhausted "ambition potential" of defeated in WWII nations: such as Germany, Japan & Italy (and, perhaps, defeated in Cold War Russia) which is saving the world from Fukuyama-like "end of history" (which'll bring most dangerous stagnation, imperilling humankind's existence through reducing efficiency of its immune system: Leading Edge researchers' community - which'll be, most probably, starved to death if such Fukuyama's nightmare of "smothering peace" would ever come true) .
What will be really important is to direct this highly creative "energy of ambition" into less destructive channels - which had been reputedly the task, enjoined on members of Pentagon Meditation Club by its Spiritual Guru Sri Swami Satchidananda (who died in 2002) - who regarded as problem of first importance "spiritual transmutation" of numerous in Pentagon (and some other US government branches) Nazi sympathizers (or just people inclined to seek simple violent solutions to problems which rather need intelligence & diligence - which you call "Neo-Trotskyites" & "members of Neocon Cabal").
It may be interesting for you to know, that in Jan 2001 - immediately after inauguration of President Bush - there was published in an influential St Petersburg opposition newspaper an interesting analytic article; - where it was claimed that it were inexpected delays in development of US-British "psychotronic genome weapons" which caused at the last moment "substitution" of G. Bush for Al Gore as victor of 2000 Presidential elections. It was said there that "political ace card" of Al Gore - representative of "scientific lobby" (and a Mason of high initiation) - will be psychotronic weapons; - with whose help he will easily exterminate international terrorism (it was written more than 7 months before 9/11!) without large financial expenses (and, most importantly, loss of American lives).
Regretfully, these weapons weren't ready for battle use (at least in USA) yet - according to Jan '99 warning of British Assn of Science, they'll be ready in 2004: "date of Hell on Earth", according to well-known to initiated Mason's Prophecies of The Great Pyramid (see, eg, P. Tompkins' "The Secret of The Great Pyramid" and/or J. Michell's "View over Atlantis").
So it was decided by "secret government" to put first a "simple-minded" Bush Jr - who, by his clumsy actions (this was written 2 years before intervention into Iraq!), will stimulate an intense desire in bothered by terrorism (and especially by antiterrorism!) people in USA & Europe to elect a more intelligent & careful President at next elections in 2004: when invincible psi-weapons (which may be entrusted by "secret government" only to a highly trusted by them person - such as Al Gore, for example) will be ready to use!
As everyone might see, until now prophecies of this article were fulfilled with high enough accuracy
- let's see in near enough 2004 how will be realized most important & intriguing part about "psychotronic weapons". (Here it may be noted that more primitive non-selective variant of "torsionc bioweapon" was already successfuly tested in Kiev, (then Soviet) Ukraine in 1989: report about this experiment is presented in Acad. Akimov & als.' article on practical uses of torsionic technologies (of course, some necessary camouflage is used, as it'll be too imprudent to call everything by its true name - Akimov is already harasseded by numerous enemies). This article - together with a number of other interesting works of Acad. Akimov & his colleagues of more theoretical kind - may be obtainable on CD in English; - Acad. Akimov told me that he'd mail it to you via "snail mail" if you'd ask him (or me) to do this: his email is: akimov.torsion@mail.ru , - indicating, of course, your snail mail address - or P.O. Box, as in my case.
It may be interesting to note, that Al Gore - as Clinton's Vice-President - maintained close enough personal relations with Mr. Chernomyrdin (Russian partner in well-known "Gore-Chernomyrdin commission"); - who is now Russia's ambassador in Ukraine!)"
Listen however to http://qedcorp.com/book/psi/hitweapon.html that I wrote in 1978.
I head most of the New Age Consciousness Movement story below back at Esalen in Big Sur in 1976, though with less detail.
Note also Nick Cook's "Hunt for the Zero Point" for "The Party Line"
See also Erik Davis's "Tech Gnosis" and Picknett & Princes's "The Star Gate Conspiracy" as well as my autobiography "Destiny Matrix."
On Wednesday, October 22, 2003, at 11:38 AM, X living in Russia today wrote:
"It was interesting to know about life of your distant relative Margherita Sarfatti, and your opinions on "political metaphysics" of fascist movements.
Now in Russia there exists great interest in these problems - there are published a lot of serious research on this subject: both by Russian & foreign experts. (Most prominent from Russian experts is Dr. A. Dugin - who is connected with a wide & influential network. He even tried to be elected to Russian Parliament - but failed because his ideas, unlike those of similarly minded "populist" Zhirinovsky, are too abstruse for the wide masses of Russian population. He also writes about "mystic relationships" between The Leader & The People - using such developed by psi-research concepts as "psychic resonance" etc. It's said that his network includes many people from f. Soviet psi-research institutions, which are now trying to develop efficient technologies of control of "mass psyche", which might improve electoral chances of their candidates. No technology, however, will be helpful if there isn't present natural/God-given Leader's > charisma.)
I myself feel considerable interest towards problems of "political metaphysics" of totalitarian regimes: I've exchanged a considerable amount of materials on this subject with world-renowned British explorer, my f. SMN colleague Dr. Nicholas Goodrick-Clarke: author of published in Russia "Occult Roots of Nazism".
This interest (besides of the fact of my living larger part of my life in a totalitarian country) is mainly due to my acquaintance more than 30 years ago with an extremely interesting person: Dr. of Occult Sciences (this title was awarded to him by Berlin Univ. in '30s) Sergey A. Vronsky: born in 1915 in St Petersburg in a noble Russia family - some members of which (including baby Sergey) managed to flee from Bolshevik terror (those who didn't were killed). Because of his great talents Dr. Vronsky managed to become in Germany a member of Ahnenerbe's Inner Circle (becoming even - according to his words which I had no means to check - a personal friend of Rudolf Hess & Heinrich Himmler: who, according to Vronsky, didn't die in 1945 - knowing since 1942 about inevitable defeat of Germany, Himmler had prepared in advance his "zombified double", - which allowed himself to be arrested by English - and then promptly killed himself, not allowing to carry detailed enough for reliable identification interrogation; the place of "fake Himmler's" burial is unknown - which doesn't allow to perform DNA-based identification; Vronsky said that real Himmler fled to German Antarctic colony "Neu Schwabenland" - where he could have lived many years after his presumed "death"). In 1942 Vronsky "defected" back to USSR (having hijacked - as he said - a German plane through hypnotizing its pilot; however, it might well be that he was sent here by Himmler as a long-term "agent-in-place" - his high qualification ensured that he'd be able to penetrate top levels of Soviet esoteric/psi-research community; Vronsky - who, as a true esotericist, was using "shadow language" mixed of 50% facts & equal quantity of fiction (as allegedly - according to Salman Rushdie's "Satanic Verses" - did Muhammed, - and also, - according to His own words, - Lord Buddha!) - told me that after 1942 Ahnenerbe started large-scale program of sending "reincarnation agents" into enemy nations: Tibetan lamas from a special section of Ahnenerbe guided souls of those dedicated SS people who sacrificed their physical bodies to fulfil this mission into incarnation in a specific time & place - there are even circulating rumours that President Putin is one of such "Ahnenerbe babies", which are based on his well-known spiritual affinity with Germany & curious, from Qabbalists' viewpoint, fact that he was born exactly 52 years after Himmler on 7 Oct 1952, and number 52 signifies in Qabbala "son" - so he is believed by some to be a "Spiritual Son (SS)" of Heinrich Himmler himself! Such rumours' credibility is reinforced by often mentioned (see in widely sold in Russia book about Putin "A German in Kremlin" by A. Rahr from Radio Liberty) fact that he came to power - or at least political visibility as Prime Minister - in time indicated in famous Nostradamus' Prophecy about "King of Teror which'll come down from Sky" in "7th month of 1999": 9 August (date of official founding of Ahnenerbe in 1937) was, according to Julian calendar used by Nostradamus, belonging to 7th month!).
Dr. Vronsky - who took special interest to me (because, he said, "I had a German-Ukrainian relative in Neu Schwabenland": according to him, about 80% of original population of this subglacial Antarctic colony formed Ukrainian women deported in '42 by M. Borman; I myself am half-Ukrainian ethnically) - had introduced me into some of esoteric principles of so-called "Aryan science", taught to members of Ahnenerbe's Inner Circle; - on which were based such activities of Ahnenerbe as design of vortex energies ("torsionic") devices for extraction of ZPE (including engines of German "man-made UFOs").
Most prominent role there had played a variant of "Cosmic Superstring theory" (see an article by A. Gangui in May/June 2000 issue of "American Scientist"); - which might be regarded as an attempt to give scientific formulation of ancient legend (believed not only by Nordic nations but also African Dogons) about enclosing: simultaneously imprisoning & sustaining our Universe World Serpent. (This idea/vision is transformed in such highly developed metaphysical system as Hindu Tantrism - one of practitioners of whose "mathematical variety" was S. Ramanujan - into worship of serpent-like body of Goddess of Form Kundalini Shakti; - which was visulized by Ramanujan as Natural Numbers' Series, forming - as wrote disciple of C. Jung M.-L. von Franz - "an interface between The Realms of Matter & Psyche".)
A mathematical problem arising from such model is this: let us imagine (as did A. Gangui) a weightless
infinitely flexible superconductive "superstring with current", suspended in the Primordial Void. Its shape then will be determined only by dynamic fields generated by circulating along such string impulses of current (such impulses might have very complex fractal patterns, growing in complexiity as such system continues to function) - as some segments of such string will alternatively attract & repel others, forming some dynamic tensegrity pattern. The problem is how there might be deduced a formula/algorithm, describing relations between the structure of current's impulse & the shape of (multidimensional) string, through which this current is circulating. Deduction of such formula (or rather development of efficient enough approximate calculation algorithm) was my main task while working in Dr. Sergeyev's group; - because possession of such formula will be very important for solution of many applied problem in psychotronics (eg, connected with optimal design of scalar waves' generators: see one of my Comments to S. Greer's book)."
The way what the above is dimly pointing to really works in mainstream theoretical physics language consistent with the new 1999 discovery of "dark energy" permeating the cosmos is revealed in:
http://qedcorp.com/APS/StarGate1.mov
http://qedcorp.com/APS/WheelerAustin.ppt (you can control this version at your own speed)
It's known that N. Tesla had - already in 19th century - performed "esoteric" experiments; - circulating precisely modulated impulses of high-voltage current along Moebius-shaped metallic loops. In '80s-'90s these experiments were repeated - on modern theoretical & technological level - by Russian researcher Dr. Shakhparonov (see in "New Ideas in Natural Science", publ. in '96 by Dr. N. Begich's Earthpulse Press in Anchorage, AK); - who claimed to have received, under some precisely defined conditions, Dirac's magnetic monopoles (MMs). (As predicted Russian theoretician Dr. Rubakov in '80, these MMs produced in Shakhparonov's experiments started to annihilate catalytically protons of ambient air - producing ball lightning-like phenomena. A military colleague of Dr. Shakhparonov V. Korshunov ('korshun" is 'hawk' in Russian) proposed to use MM's generator as "an absolute superweapon" against which there will exist no defence, as it'll be capable to annihilate anything material which'll touch it.
I myself offered more peaceful use for such device - proposing to install it on board of Dr. Saenger's photonic interstellar spaceship: it'll allow to get rid of necessity to store on board of such ship antiprotons for annihilation of interstellar protons, - which storage presents most difficult problem because of high risks & tremendous energy expenses needed for generation of antimatter.)"
See my short lecture on this in DVD Star Trek IV Special Collector's Edition Disk 2 "Time Travel: The Art of the Possible."
"Dr. Shakhparonov himself believes that these MMs aren't created "from nothing" but rather "teleported" - via "virtual hypertunnel" created by "Moebius loop with fractal pulse of current" - from "pre-inflationary Universe"; - where they abound, according to popular Zeldovich-Novikov cosmogonic theory. (Formation of such "teleportation hypertunnel" - similar in some aspects to that described by C. Sagan in "Contact" - may be explained as "instinctual/reflex action" of "Holographic Torsionic Brain/Mind of Universe" (cf. description of "Global Mind of Solaris" from Tarkovski's highly popular film, based on St. Lem's SF novel) , automatically reacting to generated by Moebius loop scalar fields of specific patterns: "morphemes of Universe's natural geometrodynamic language".)
Elaborating his experimental designs, Dr. Shakhparonov had claimed to produce - by altering patterns of current impulses & configurations of current-carrying conductors - galaxy-shaped patterns; - which had evolved in ways similar to those predicted by modern cosmology.
(Here may be interesting also to note, that attempts to reproduce visually - with the help of computer visualization techniques - some of cosmological theories describing process of Universal Evolution led to
creation of "dynamic computer mandalas" possessing high psychoactive properties: as if kind of "visual LSD", capable to influence human psychic activities (although it's much more difficult to direct such influences properly). This might support hypothesis about essential structural similarity between Design of Universe & design of a brain; - which was proposed by J. Hurtak & a number of other researchers (including Roerichs & Acad. Markov in Russia)."
Bingo! Hurtak again!
"Dr. Vronsky - who died in 1998 in Riga, Latvia - said before his death (after "perestroika"), that it is not yet fully exhausted "ambition potential" of defeated in WWII nations: such as Germany, Japan & Italy (and, perhaps, defeated in Cold War Russia) which is saving the world from Fukuyama-like "end of history" (which'll bring most dangerous stagnation, imperilling humankind's existence through reducing efficiency of its immune system: Leading Edge researchers' community - which'll be, most probably, starved to death if such Fukuyama's nightmare of "smothering peace" would ever come true) .
What will be really important is to direct this highly creative "energy of ambition" into less destructive channels - which had been reputedly the task, enjoined on members of Pentagon Meditation Club by its Spiritual Guru Sri Swami Satchidananda (who died in 2002) - who regarded as problem of first importance "spiritual transmutation" of numerous in Pentagon (and some other US government branches) Nazi sympathizers (or just people inclined to seek simple violent solutions to problems which rather need intelligence & diligence - which you call "Neo-Trotskyites" & "members of Neocon Cabal").
It may be interesting for you to know, that in Jan 2001 - immediately after inauguration of President Bush - there was published in an influential St Petersburg opposition newspaper an interesting analytic article; - where it was claimed that it were inexpected delays in development of US-British "psychotronic genome weapons" which caused at the last moment "substitution" of G. Bush for Al Gore as victor of 2000 Presidential elections. It was said there that "political ace card" of Al Gore - representative of "scientific lobby" (and a Mason of high initiation) - will be psychotronic weapons; - with whose help he will easily exterminate international terrorism (it was written more than 7 months before 9/11!) without large financial expenses (and, most importantly, loss of American lives).
Regretfully, these weapons weren't ready for battle use (at least in USA) yet - according to Jan '99 warning of British Assn of Science, they'll be ready in 2004: "date of Hell on Earth", according to well-known to initiated Mason's Prophecies of The Great Pyramid (see, eg, P. Tompkins' "The Secret of The Great Pyramid" and/or J. Michell's "View over Atlantis").
So it was decided by "secret government" to put first a "simple-minded" Bush Jr - who, by his clumsy actions (this was written 2 years before intervention into Iraq!), will stimulate an intense desire in bothered by terrorism (and especially by antiterrorism!) people in USA & Europe to elect a more intelligent & careful President at next elections in 2004: when invincible psi-weapons (which may be entrusted by "secret government" only to a highly trusted by them person - such as Al Gore, for example) will be ready to use!
As everyone might see, until now prophecies of this article were fulfilled with high enough accuracy
- let's see in near enough 2004 how will be realized most important & intriguing part about "psychotronic weapons". (Here it may be noted that more primitive non-selective variant of "torsionc bioweapon" was already successfuly tested in Kiev, (then Soviet) Ukraine in 1989: report about this experiment is presented in Acad. Akimov & als.' article on practical uses of torsionic technologies (of course, some necessary camouflage is used, as it'll be too imprudent to call everything by its true name - Akimov is already harasseded by numerous enemies). This article - together with a number of other interesting works of Acad. Akimov & his colleagues of more theoretical kind - may be obtainable on CD in English; - Acad. Akimov told me that he'd mail it to you via "snail mail" if you'd ask him (or me) to do this: his email is: akimov.torsion@mail.ru , - indicating, of course, your snail mail address - or P.O. Box, as in my case.
It may be interesting to note, that Al Gore - as Clinton's Vice-President - maintained close enough personal relations with Mr. Chernomyrdin (Russian partner in well-known "Gore-Chernomyrdin commission"); - who is now Russia's ambassador in Ukraine!)"
Reply to Angelides's useful clarification on conformal group is below:
On Tuesday, October 21, 2003, at 11:56 PM, S-P & M-M Sirag wrote:
"Jack,
A brief summary of a big topic, Reality, Mind and the Physical world:"
Yes, that was my essential question.
"The Question is: What is The Question?" (JA Wheeler)
[A much improved version of the talk I gave in Paris at Vigier IV is now at
http://qedcorp.com/APS/StarGate.mov Quick Time movie made in Keynote with all the animation that enhances comprehension of the ideas
http//qedcorp.com/APS/WheelerAustin.ppt interactive version Power Point
Version on-line now is close to 99% of what I will present this Friday in Austin, Texas to
Society for Literature and Science
Tim Ferris is giving a talk on same subject BTW at that same meeting.
Remember this multi-dimensional presentation in conceptual hyperspace is to a literate audience of academics from the Two Cultures hence I have jazzed it up with reference to great Art, Drama, and lots of humor. It's a show, it's edutainment, but the physics is real not watered down to New Age psychobabble as is too common today.]
"My approach to a theory of reality, which includes consciousness, is to
postulate that reality is the vast entity (cf. Phillip K. Dick's VALIS)
that underlies the entire set of A-D-E Coxeter graphs (and even goes beyond
these graphs as V.I. Arnold has led the way)."
I think this is close to the Level IV Super Platonism in Max Tegmark's "Parallel Universes" in
May 2003 Scientific American? All mathematics is implemented physically is his idea. You agree?
You further think that V.I. Arnold's math may be the Mother of All Math - The Mathematical Theory of Everything.
Then we have Wigner's "The Unreasonable Effectiveness of Mathematics in Physics."
On the VALIS theme, its historical roots are well-presented in Erik Davis's "Tech Gnosis."
"This means that each of the
many types of mathematical object that is A-D-E classified is a separate
window into this vast reality. [Note: Mathematicians are wondering what
mathematical entity underlies the A-D-E graphs. I say it is not a
mathematical entity, but reality itself--physical, mental, and perhaps more
than these (much debated) categories entail. The mathematics is the set of
mathematical categories classified by the A-D-E graphs, each providing a
different "map" of the territory of reality. The overall name for my
approach is ADEX-theory -- the study and application of all the A-D-E
graphs, with the X indicating the (mostly unknown) reality underlying the
set of A-D-E classifications; and X also indicates the aspect of going
beyond the A-D-E graphs via the three E type graphs as doorways into the
enormous extension of the graphs (which has been only partly explored by
V.I. Arnold and his students)."
OK. Good. This is the clearest you have been on this. I would like you to include this in the third book of the Space-Time and Beyond Series
"Star Gate Universe."
"On eigenvalues: I believe that the deepest principle of quantum mechanics
is that only eigenvalues (of measurement operators) can be observed."
Yes, that is true for orthodox micro-quantum theory like one sees in all the text books.
No question that Von Neumann measurement theory, that you summarize here ,works in its proper domain of validity, which is essentially scattering experiments using probe beams that are statistical ensembles of "single particle states" hitting targets that are also simple. The targets can also be many-particle systems in which the scattering is described in terms of target quasi-particles and collective modes as poles of single-particle and pair Green's equilibrium temperature-dependent Green's functions like in Bohm-Pines-Nozieres et-al work in the 50's on.
However, P.W. Anderson's "More is different" principle came in 1967 and was never absorbed into the thinking of the quantum measurement Pundits. For example, I see no evidence that Stapp and Penrose have any inkling of it? I could be wrong.
Note my paper "Goldstone Theorem and the Jahn-Teller Effect" 1966 with Marshall Stoneham at Theoretical Physics Division of UKARE, Didcot, Berks, Oxfordshire published in 1967 Proceedings of the Physical Society of London and cited in AIP Resource Letter on Symmetry in Physics, anticipates PW Anderson's "More is different". I was at Anderson's first talk on the subject at UCSD in 1967 where Wheeler would often also come to give long seminars that I attended. This was partly because I was in Keith Bruckner's group and they often had meetings of the DOD ARPA JASONs there. I also met Frohlich at UCSD. Frohlich told me "What is wrong in physics is the idea of the point particle." He agreed with Vigier on that one. Below I show how a spatially extended electron micro-geon in strong short range gravity induced by partially cohered zero point fluctuations (mainly vacuum polarization not electromagnetic) is stable and looks like a point particle as the resolution of the Heisenberg micro-quantum microscope is increased by increasing the energy in the center of mass of the probe-target frame. The basic explanation here is in Kip Thorne's picture P3 p. 31 in the Prologue of "Black Holes and Time Warps" where Kip writes:
"the circumference of the thick black circle is far less than 2pi times its radius"
This space warp increases as the momentum transfer p in the scattering increases since the Schwarzschild radial coordinate outside the event horizon
r ~h/p (Heisenberg microscope equation)
where the effective micro-gravity coupling on the scale of 1 fermi and less is G* ~ 10^40 G(Newton)
I say:
1. Orthodox "eigenvalue" quantum measurement theory, i.e. results of measurement are real eigenvalues of Hermitian generators of Unitary groups breaks down completely for emergent complex systems with MACRO-QUANTUM ODLRO in the ground state for real particles, and the vacuum for virtual particles because of what P.W. Anderson calls "generalized phase rigidity".
2. Of course, orthodox "eigenvalue" quantum measurement theory, equivalent to Stapp's "the statistical predictions of orthodox quantum theory, does apply to the elementary excitations (quasi-particles like dressed electrons in metals, and collective excitations like plasma oscillations) above the ground state (or vacuum in which case the elementary excitations are I suppose fundamentally the transverse string vibrations of the 2D world sheet you mentioned, but at lower energy they are the lepto-quarks and gauge force bosons etc. as first pointed out by Nambu in the 60's using the relativistic ODLRO super conducting vacuum where the Dirac energy gap 2mc^2 is essentially a non-analytic (z -> 0) non-perturbative "BCS gap" of form we^-1/z. But the "eigenvalue" measurement folklore breaks down completely for the LOCAL MACROQUANTUM COHERENT CONDENSATE ODLRO GROUND STATE (VACUUM) ORDER PARAMETER (a complex number at low energy):
PSI(x) = (HIGGS FIELD(x))e^i(GOLDSTONE PHASE(x))
It's the "rigidity" in the GOLDSTONE PHASE local field (x is an event in 4D space-time that can be generalized to hyperspace with fermionic dimensions and even PSI itself may become a hypercomplex number when x is also a hypercomplex number as in non-commutative spacetime geometry) that prevents the "collapse" into "eigenvalues" of this huge non-classical local wave with the substantiality of a classical electromagnetic field as PW Anderson emphasizes in his series of More is different writings in "A Career in Theoretical Physics" (World Scientific).
For example, suppose I Fourier transform PSI(x) to get PSI~(p), in no sense can you PHYSICALLY do a kind of Stern-Gerlach filter measurement to get a power spectrum |PSI(p)|^2 as a measurement for p. There is no "diffraction grating" big enough to do the job! See Bohm's classic text "Quantum Theory" on the use of diffraction gratings to measure p etc.
The Born probability interpretation needed for the "eigenvalue" measurement folklore simply breaks down completely for MACRO-QUANTUM things. That is one of the implications for the "More is different" principle that is for emergent order of complex systems what the equivalence principle is for Einstein's gravity and what Heisenberg's uncertainty principle is for micro-quantum theory.
3. From the work of Antony Valentini we qualitatively understand why "signal nonlocality" e.g. the "presponse" of the MACRO-QUANTUM conscious mind is observed by Dick Bierman et-al
4. P.W. Anderson's phase rigidity is, for the unstable vacuum of the micro-quantum Dirac electron field in globally flat space-time is precisely Andrei Sakharov's "metric elasticity" for the "background independent" emergence of c-number Einstein gravity + unified exotic vacuum "dark energy/matter" out of the zero point vacuum fluctuations in a way consistent with t'Hooft-Susskind "world hologram" + Hagen Kleinert "world crystal lattice" + Bohm's realist interpretation.
5. All of the key phenomena of the new precision cosmology of dark energy and dark matter as well as of high energy physics i.e.
1. stability of the electron (Abraham-Poincare stress problem for self-energy that Feynman failed to solve)
2. zero point fluctuation induced rest mass of electron ~ 0.5 Mev ~ (e^2/c)/\*zpf^1/2
2. point-like appearance of lepto-quarks in deep-inelastic SLAC scattering i.e. space-warp micro-geon effect
(close relation of quasi micro-black holes to your vibrating strings of M theory)
3. Universe Regge slope (string tension) of hadronic resonances - basic data of string theory
J ~ G*M^2/hc
(consistent with my "f-gravity" rotating black hole work with Abdus Salam at ICTP 1973-74) published in "Collective Phenomena" edited by Frohlich & Cummings)
G* = c^3Lp*^2/h
/\*zpf = 1/Lp*^2
Lp* = Lp^2/3(c/H)^1/3 (world hologram) H is the Hubble cosmology parameter
Lp^2 - hG(Newton)/c^3
4. Blackett effect (actually astrophysics)
e ~ G*^1/2m
"With respect to the A-D-E graph (read as classifications of Lie algebras)
each graph node corresponds to a set of basic mirrors (which generate a
full set of mirrors) in what I call reflection space, but could also be
called eigenvalue space. This is because, attached to each mirror are two
vectors called positive and negative roots. These roots carry a set of
eigenvalues (one eigenvalue for each dimension of the reflection space,
which is the number of nodes in the graph."
There is no doubt this applies to micro-quantum measurement theory in its proper domain of validity, which is part of "The Question" here. It may also have a more universal significance in MACRO-QUANTUM theory as the unfolding (topology change) of Rene Thom catastrophes on the complex hypersurfaces of PSI(x,L) as a wavelet transform at scale L. When PSI(x,L) is the human conscious mind field the topology changes of the PSI(x,L) landscape (as in complexity theory, e.g. Murray Gell-Mann's "The Quark and the Jaguar") signal emergence and fading away of conscious qualia.
When PSI(x,L) is the physical vacuum MACRO-QUANTUM PARTIAL COHERENCE of ALL the zero point fluctuations of the lepto-quark/gauge boson quantum fields, or ALL the transverse vibrations on the 2D string world sheet at the deeper level, then the topology changes are in the structure of the physical vacuum itself.
This immediately takes us to the "ICE 9" Doomsday WMD problem that Sir Martin Rees describes in Chapter 9 of his "Our Final Hour" book. Our book "Destiny Matrix", Saul-Paul, has reference to this "ICE 9" WMD issue and our book came out in November 2002 several months before Martin's! Also you and Elizabeth Rauscher may remember I wrote reports about this issue in 1973-74 from Abdus Salam's ICTP in Trieste. I lectured on it at the Nuclear Institute in Lubljana, Yugoslavia. Fred Alan Wolf was with me. One of the people who heard me talk in Lubljana was at the Vigier Conference in Paris Sept 2003. He told me he was there. I think it was Domitan Popescu?
http://www.mindspring.com/~cerebroscopic/Program.html
Lev Okun published and also told me that Andrei Sakharov was very worried about this problem in the same period the 1970's that Rees makes public. Okun's writing is in my Austin APS talk at http://qedcorp.com/APS/
Though the conventional nuclear, bio-chem WMD in Iraq may be Neo-Conned "Deception" rather than "Destruction", the WMD in the sky, whether asteroids colliding with earth or dark energy/matter "bottled" for small-scale technology use, is real in the not too distant future not imagined IMHO.
" These roots are lattice points in the root lattice, and root
eigenvalues are bosonic eigenvalues carried by the force-type particles.
Dual to the root lattice is the weight lattice which carries fermionic
eigenvalues."
OK at micro-quantum level of application of ADEX - nice insight.
"Each root(as a set of eigenvalues) corresponds to a single
eigenvector, which is a basis element of the Lie algebra corresponding to
the Coxeter (Dynkin) graph. This is according to the Lie algebra
eigenvector equation:
AV = [A,V] = AV - VA = eV
where A runs through a set of basis elements of the Cartan subalgebra of
dimension equal to the rank r of the Lie algebra, i.e. the number nodes in
the graph. Thus there will be r eigenvalues corresponding to a particular
eigenstate V.
The adjoint representation of the Lie algebra provides the root
eigenvalues. Whereas other representations provide various weight
eigenvalues. For example in E7, there is a 7-d Cartan subalgebra (and
reflection space), a 133-d adjoint representation (corresponding to the
dimensionality of the Lie algebra itself). So there are 126 non-zero roots,
and 7 zero roots (corresponding to the 7 elements of the Cartan subalgebra
that commute with each other). These 126 non-zero roots form the vertices
of a 7- polytope (which defines the sphere packing of 126 6-d spheres
around a central sphere in the 7-d reflection space. This is a lattice
packing, and the lattice also generates the Hamming-7 error-correcting
code. [Note: the IT (eigenvector) from BIT (binary error-correcting code),
or BIT from IT, is evident in this mathematical structure.]
The 126 roots carry bosonic eignevalues, so the IT in this case is
bosonic. The fermionic eigenvalues are carried in a 56 vertex polytope
(corresponding to the 56-d representation of the E7 Lie algebra.
The ultimate IT from BIT must be in the E8 lattice, which is self-dual
and thus does not distinguish between bosonic and fermionic eigenvalues.
This lattice generates the Hamming-8 code (which is merely the Hamming-7
code with an extra parity check digit). And the E7 lattice structure is a
sub-structure within the E8 lattice."
Yes, I agree this smells like something very fundamental as in
"The Word made Flesh" (Genesis Old Testament)
"IT FROM BIT" (Wheeler)
"We are such dreams that stuff is made from." (Variation on Shakespeare's "Tempest" Prospero)
"Explicating the Super-Implicate Order" (Bohm-Hiley)
"The finite group generated by the mirrors is the Coxeter reflection group,
and is (in Lie theory) called the Weyl group. This reflection group sends
vertices of root polytopes into each other, and weight polytopes into each
other. In this way the fundamental particle rules are obeyed.
On collapse of the wave function (or rather projection of the state vector):
I speculate that there is an infinitesimal "blip" of awareness associated
with every reflection--i.e., with every change of eigenstate. A nervous
system is a means of concatenating an enormous quantity of such "blips" of
awareness into the rich experience we call individual consciousness."
Here I differ with you. What you suggest I think is too vague and cannot be mathematized.
This is where "More is different" comes in essentially.
Micro-quantum theory is
IT FROM BIT without BIT FROM IT is nonlocal micro-quantum theory with signal locality as shown in Bohm & Hiley p. 30 corresponding to
Antony Valentini's "sub-quantal heat death" with Von Neumann measurement theory of projection to micro-quantum eigenstates - that all works well
where it should for simple enough systems below the consciousness threshold IMHO.
"More is different" -> BIT FROM IT
No action without reaction.
BIT = MIND
IT = MATTER
Generation of inner conscious qualia is "back-action" BIT FROM IT
Just as mind moves matter in IT FROM BIT
So matter induces consciousness in mind in BIT FROM IT.
Just as geometry moves matter along the timelike geodesic (neglect hyperspace Kaluza-Klein for now to keep it simple),
So matter warps geometry to induce gravity.
No action without reaction.
"Now, because of the other A-D-E classifications, such as catastrophe
structures (via V.I. Arnold's singularity theory approch), other aspects of
the mind-body relationship come into the picture. The action of the
reflection group on the reflection space generates the orbit space which is
the base space of a catastrophe bundle. The mirrors of the reflection space
get mapped onto the separatrix in the base space. The identity fiber is
C^2/g (where g is a finite subgroup of SU(2). This is a singularity
containing 4-d space, which when lifted up into the Lie algebra (in just the
right way) becomes "desingularized". This is a hyper-Kahler manifold, and
is a particular type of gravitational instanton whose "infinity" is the
orbit space SU(2)/g. (This discription is due to Peter Kronheimer,
1989,1990)."
OK this is getting closer to what I am talking about above in a more informal "Wheeler" way.
"The identity fiber C^2/g can also be "unfolded" by choosing a series of
points on some path in the base space. Moving the along this path entails
picking a new fiber at each point of the path -- and moving along the path
corresponds to a time advancing. Whenever the path crossed the separatrix a
topological change occurs in the fiber."
Yes, cool. Does this explain Brian Greene's "topology change" in current Sci Am "11 Dimensions"?
"There is much more to say on this topic of catastrophe structure--base
on the work of Rene Thom, V.I. Arnold and others. I will only point out the
Thom himself regards the catastrophe bundle as a mathematical model of the
interaction of "soul and body" in a single geometrical structure.
And Arnold regards the great multiplicity of the A-D-E classifications as a
'manification of the mysterious unity of all things.'"
Yes, that is essentially the correct way to go IMHO.
"In addition to the mathematical categories described above,there are at
least a dozen other mathematical categories classified by the A-D-E graphs
that can usefully be brought into the picture. I will mention only a half
dozen.
Conformal field theories (which live on the 2-d string world sheet)
Heisenberg subalgebras of the A-D-E Lie algebras.
Korweg de Vries hierarchies of non-liner equations
Quantizing lattices (for analog-to-gigital transforms)
Generalized braid groups (related to knots and links)
Wave fronts.
Nuff said ;-)
Saul-Paul
Correct me if I am wrong Saul-Paul but what is your picture of the
connection of this group structure to consciousness. Do you have in
mind orthodox quantum measurement theory with the results of
measurement being "eigenvalues" along lines of Wigner & Stapp i.e.
"collapse." I have argued against that view for consciousness. However,
the A-D-E structure also applies to catastrophies and in my picture
there is a MACRO Q-BIT landscape in ordinary space. Think of a giant
Bohmian real quantum potential Q in ordinary space made from PSI(x) the
coherent order parameter that is literally the physical mind field.
This PSI may have a fractal structure. Actually what we have is not
PSI(x) but a wavelet transform PSI(x,L) at scale L and so we have a
family of complex functions PSI at different scales L and there are
topology changes of this what sheaf of landscapes with coupling at
different scales - gets very complex and that's I think how V.I.
Arnold's theory of singularities come in. Indeed the dynamics of the
mental landscape, say in the real representation of Q(x,L) ~Q(x,L)^-1
Grad^2Q(x,L) (or maybe the wave propagation generalization) can
actually be pictured in computer simulations allowing us to literally
read thoughts! There is a great simplification in that the
MACRO-QUANTUM mental field of the living mind in my theory is a local
complex field in ordinary 3D space and a lot of its features can be
pictured in terms of the dynamics of the real MACRO-QUANTUM potential
Q. Of course both the amplitude and phase of PSI will also have
physical importance. Since MACRO-QUANTUM PSI is literally a fusion of
IT and qubit in the condensate one has to ask if there is any analog to
a localized ball rolling on it as there is in micro-quantum theory. The
answer I think is no. But there is a distributed say electric dipole
moment IT distribution D(x,L) in two-way relation to the BIT PSI(x,L).
D(x,L) at some scale L will be directly related to nerve impulse firing
patterns for example. On smaller scales to MRI and so on.
From: Thomas D Angelidis
Date: Wed Oct 22, 2003 9:03:10 AM US/Pacific
To: Jack Sarfatti, S-P & M-M Sirag
Cc: "Thomas D. Angelidis"
Subject: Re: Conformal Group & Exotic Vacuum Dark Energy/Matter Link?
On Tuesday, October 21, 2003, at 09:28 pm, Jack Sarfatti wrote:
On Monday, October 20, 2003, at 04:27 PM, S-P & M-M Sirag wrote:
..............
There is, of course, one force missing in the above unification -- gravity.
There you need Diff(4) from breaking the 4-parameter translation subgroup of the 10 parameter Poincare group. Gravity as curved spacetime is a broken symmetry of global translational invariance. The Poincare group, in turn, is from breaking I suppose a 5-parameter subgroup of the 15 parameter conformal group of the light cone used in Penrose's "twistors." One parameter is dilation. I forget - what are the other 4? What is the physical interpretation of the 5 additional generators of the Conformal group Lie algebra? 4-momentum from translation sub-group and space-time rotations from 6-parameter Lorentz sub-group. What are the others? Shipov in his torsion theory seems to want to break the symmetry of the 6 Lorentz group parameters to get the torsion twists generalization of space-time rotations! That makes sense actually. What about those 5 conformal generators?
Starting from 15 parameter conformal group of the light cone,
C(15) = ?(5) T(4)O(1,3)
Is ?(5) = D(1)?(4)?
D(1) a one parameter dilation whose breaking of symmetry introduces the rest mass m into E^2 = (mc2)^2 + (pc)^2 mass shell
What are the 4 missing generator "charges" to add to 4-momentum and space-time rotations?
What about the dilatation and the 4 other things? What are they physically? They should already be there in global special relativity without gravity hidden as rest masses of quantum fields in some way?
The 4 other "charge" generators of the conformal group, must, therefore, be the 4-gradient of the Higgs Field! That sort of makes physical sense. Will there be a compensating gauge field?
to be continued
Professor Angelides wrote:
"Jack and Saul-Paul, the 4 missing elements of the special conformal group are known as inversions (actually, they are products of inversions and translations)."
Aha! Thanks. I need to do some homework on that. I am glad to see the Lie algebra of the missing stuff is not too different from that of the Pu Lie algebra. I was worried about that. I am glad to see that essentially we have another copy of the translation group since I need two such copies to modulate both the Goldstone phase and Higgs amplitude of my QED vacuum polarization partial coherence ODLRO parameter PSI(x,L). I get Einstein's gravity from locally gauging one of those translation sub-groups in the usual way Kibble did it at Imperial College in the 60's and I think we should get the unified w = -1 exotic vacuum dark energy/matter field by locally gauging this second copy of the translation group with the extra "inversion". Is this related to Brian Greene's "mirror symmetry" with "two geometries and one physics" in the current Sci Am?
"Geometrically, this is done by the successive application of an inversion f^1 through a unit circle centered at the origin O, an inversion f^2 through a unit circle
at some point, say, p, and a translation f^3 by the vector Op. That is, f^3 o f^2 o f^1 (o stands for composition).
The conformal inversion maps infinity, which is not a point of Minkowski spacetime, into a finite point and conversely. The action of the conformal group is
defined on the so-called conformally compactified Minkowski spacetime."
Right which is important in Penrose's Twistor theory that I vaguely remember from attending his seminars at Birkbeck in 1971.
BTW Thomas I will have access to a 2Bdr apartment in Kensington section of London soon, so I will be seeing you and Simon. Will take Saul-Paul.
"What are they physically ? In the physics literature, these elements have been referred to as "acceleration transformations". Whether these can be linked to
gravity, I am not so sure..."
Any URLs on this. This is something I must understand much better since it is the modulation of the Higgs in my model that gives the lepto-quark rest masses like
m(electron) ~ (e^2/c^2)/\zpf*^1'2
where /\zpf* = 1/Lp*2
in the quantized circulation "vortex core" of the micro-geon "ring singularity" (A Ya Burinski, Vigier IV Paris Sept 2003) where Higgs Field -> 0 like in a Type II superconducting lattice.
"One last point of logic: Since all these "small" groups are subgroups of Diff(4), then whenever Diff(4) holds, so does each of its subgroups a fortiori.
I hope this helps."
What I mean here is that in Einstein's curved space-time the translation subgroup of the global Poincare group no longer holds. Of course, you can say that once the translation sub-group is locally gauged then the local conservation of Pu is restored including the curvature as a dynamical degree of freedom as in the Bianchi identities
-> Tuv(x)^;v = 0
Now all that comes from Kibble's locally gauging only the translation sub-group of the 10 parameter Poincare group.
I think Utiyama in 60's locally gauged the full 10 parameter Poincare group to get the torsion fields from the 6 parameter Lorentz group years before G. Shipov got there.
My question now is what is the physics of locally gauging the dilaton + the 4 translations with these "inversions"?
If my theory is right what we get physically are dark energy/matter exotic vacuum fields.
That is gravity + torsion + exotic vacuum dark energy/matter + dilation field
We know that Universe is 96% exotic vacuum at large FRW scale.
We did not really know that last year for sure.
A"ll good wishes
Thomas.
PS Jack, your references to the so-called quantum nonlocality and signal locality (a rather silly idea) etc need to be corrected (but I am not going to start
quoting chapter and verse; you know what I mean...). "
On that we really need to Pow Wow at length with The Pundits including Hiley, Valentini, Stapp, Bierman (the experimentalist) and Duke it all out. :-)
A good place to do this is Simon's Private London Club on Portman Square which has wireless for our laptops. I will get to London ASAP probably early next year for an extended stay of a week or two or three depending on how long I can get the Kensington apartment at that time.
I suppose you mean "quantum nonlocality" is the "silly idea" since you argue for "signal locality". The big issue is "signal nonlocality" for which there is evidence IMHO. How good that evidence is, is also part of "The Question."
Sirag wrote:
Jack & Thomas,
On the role of the conformal group SU(4) or SU(2,2):
Yes, for Penrose twistor spinor of conformal space-time.
The extended E7 Coxeter graph is
1-2-3-4-3-2-1
|
2
From this it follows via the McKay correspondence between the E7 (Kac-Moody)
Lie algebra and OD (the octahedral double group as a subgroup of SU(2)) that
the complex group algebra C[OD] is equivalent to the direct sum of total
matrix algebras:
C[OD] = M1 + M2 + M3 + M4 + M3 + M2 + M1 + M2
Since the squares of the numbers on the Coxeter graph (which I call balance
numbers) sum to 48 (in accord with the 48 elements of OD), we see that the
matrix algebras span the full 48-d vector space of C[OD].
In my "Consciousness: a Hyperspace View" paper (published in 1993 as a 40
page appendix in Jeffrey Mishlove's book *Roots of Consciousness*) I wrote:
In the scheme of this paper E7 is the high-energy symmetry group, but
because of the McKay correspondence between E7 and OD, the unitary group P
in C[OD] is a 48-d principal bundle projecting down to a 10-d base space S,
each point of which is a copy of the 38-d fiber G. We write these spaces out
as the following Lie groups:
S = U(2) x T^6;
G = U(1) x SU(2) x SU(3) x SU(3) x SU(4) x SU(2)
where U(2) is a 4-d spacetime called *conformally compactified Minkowski
space*; T^6 is a 6-d torus = U(1) x U(1) x U(1) x U(1) x U(1) x U(1).
We consider S as the 10-d spacetime of superstring theory and G as the
symmetry group of the following six forces, which we identify in sequence
as: electromagnetism, weak, strong (color), hyperweak, gravity and perhaps
the feeble force.
We can write: P = S x G. Since U(2) = U(1) x SU(2), we can rearrange S
as S = SU(2) x T7. We regard SU(2), i.e., spherical 3space S^3, as the space
of cosmology -- the space in which we as macroscopic bodies appear to live.
Every point of a macroscopic body is a point of S^3. Thus, if we view S as a
fiber bundle, every point of a macroscopic body is actually a 7-d spce which
is a copy of T^7. Note that the 7=torus T^7 incorporates the factor U(1)
from the U(2) spacetime, and thus includes time. Now T^7 corresponds (via
McKay's theorem) to the 7-d reflections space of E& as follows:
T^7 = R^7/Lr
where R^7 is the *real* part of the E7 complex reflection space C^7, and Lr
is the E7 root lattice. This means that all the points of the lattice are
identified as a single point, the identity element of T^7, and every other
point of T^7 is a copy of Lr.
[end of quote from my 1993 paper]
Note that SU(4) is the 15-d conformal group, and if you need a fancier
version of this group it is sitting in C[OD] as M4 -- which is the set of
all 4 by 4 complex matrices. The set of all invertible elements in M4 is
GL(4,C), and the set of all unitary elements is U(4) = U(1) x SU(4).
This is the paper that John McKay referred to in his short paper "A
rapid introduction to ADE theory," which can be found at:
http://math.ucr.edu/home/baez/ADE.html
[Note:
It may be that the cosmological space of this paper S^3 = SU(2) should
be replaced by SU(2)/g where g is a finite subgroup of SU(2). McKay's
correspondence consists of a profound A-D-E classification of these
subgroups, which I have called McKay groups.
Cf. October 9 *Nature* paper by Luminet et alia.
Morover, in 1989 Peter Kronheimer (a graduate student of Michael Atiyah)
proved the A-D-E classification of C^2/g as gravitational instantons
(closely related to twistor structures). The "infinity" of any such
instanton is SU(2)/g.
In addition, it is very interesting that C^2/g is the identity fiber of
an A-D-E classified (via V.I. Arnold) Thom type catastrophe bundle.
BTW: There is a different conformal invariance involved in string
theory. The 2-d world sheet is conformally invariant (and 2-d Lorentz
invariant) so that a 2-d conformal field theory lives on this space -- and
is a basic entity in superstring theory. And it just so happens that 2-d
conformal field theories are A-D-E classified.
For this and many other reasons, I believe that the study of all
classifications of the A-D-E graphs (which I call ADEX theory) is the key to
the deep study of reality.
All for now.
Saul-Paul
I have not yet absorbed your last message Saul-Paul. Leaving for Austin, Texas soon.
On Tuesday, October 21, 2003, at 11:56 PM, S-P & M-M Sirag wrote:
"Jack,
A brief summary of a big topic, Reality, Mind and the Physical world:"
Yes, that was my essential question.
"The Question is: What is The Question?" (JA Wheeler)
[A much improved version of the talk I gave in Paris at Vigier IV is now at
http://qedcorp.com/APS/StarGate.mov Quick Time movie made in Keynote with all the animation that enhances comprehension of the ideas
http//qedcorp.com/APS/WheelerAustin.ppt interactive version Power Point
Version on-line now is close to 99% of what I will present this Friday in Austin, Texas to
Society for Literature and Science
Tim Ferris is giving a talk on same subject BTW at that same meeting.
Remember this multi-dimensional presentation in conceptual hyperspace is to a literate audience of academics from the Two Cultures hence I have jazzed it up with reference to great Art, Drama, and lots of humor. It's a show, it's edutainment, but the physics is real not watered down to New Age psychobabble as is too common today.]
"My approach to a theory of reality, which includes consciousness, is to
postulate that reality is the vast entity (cf. Phillip K. Dick's VALIS)
that underlies the entire set of A-D-E Coxeter graphs (and even goes beyond
these graphs as V.I. Arnold has led the way)."
I think this is close to the Level IV Super Platonism in Max Tegmark's "Parallel Universes" in
May 2003 Scientific American? All mathematics is implemented physically is his idea. You agree?
You further think that V.I. Arnold's math may be the Mother of All Math - The Mathematical Theory of Everything.
Then we have Wigner's "The Unreasonable Effectiveness of Mathematics in Physics."
On the VALIS theme, its historical roots are well-presented in Erik Davis's "Tech Gnosis."
"This means that each of the
many types of mathematical object that is A-D-E classified is a separate
window into this vast reality. [Note: Mathematicians are wondering what
mathematical entity underlies the A-D-E graphs. I say it is not a
mathematical entity, but reality itself--physical, mental, and perhaps more
than these (much debated) categories entail. The mathematics is the set of
mathematical categories classified by the A-D-E graphs, each providing a
different "map" of the territory of reality. The overall name for my
approach is ADEX-theory -- the study and application of all the A-D-E
graphs, with the X indicating the (mostly unknown) reality underlying the
set of A-D-E classifications; and X also indicates the aspect of going
beyond the A-D-E graphs via the three E type graphs as doorways into the
enormous extension of the graphs (which has been only partly explored by
V.I. Arnold and his students)."
OK. Good. This is the clearest you have been on this. I would like you to include this in the third book of the Space-Time and Beyond Series
"Star Gate Universe."
"On eigenvalues: I believe that the deepest principle of quantum mechanics
is that only eigenvalues (of measurement operators) can be observed."
Yes, that is true for orthodox micro-quantum theory like one sees in all the text books.
No question that Von Neumann measurement theory, that you summarize here ,works in its proper domain of validity, which is essentially scattering experiments using probe beams that are statistical ensembles of "single particle states" hitting targets that are also simple. The targets can also be many-particle systems in which the scattering is described in terms of target quasi-particles and collective modes as poles of single-particle and pair Green's equilibrium temperature-dependent Green's functions like in Bohm-Pines-Nozieres et-al work in the 50's on.
However, P.W. Anderson's "More is different" principle came in 1967 and was never absorbed into the thinking of the quantum measurement Pundits. For example, I see no evidence that Stapp and Penrose have any inkling of it? I could be wrong.
Note my paper "Goldstone Theorem and the Jahn-Teller Effect" 1966 with Marshall Stoneham at Theoretical Physics Division of UKARE, Didcot, Berks, Oxfordshire published in 1967 Proceedings of the Physical Society of London and cited in AIP Resource Letter on Symmetry in Physics, anticipates PW Anderson's "More is different". I was at Anderson's first talk on the subject at UCSD in 1967 where Wheeler would often also come to give long seminars that I attended. This was partly because I was in Keith Bruckner's group and they often had meetings of the DOD ARPA JASONs there. I also met Frohlich at UCSD. Frohlich told me "What is wrong in physics is the idea of the point particle." He agreed with Vigier on that one. Below I show how a spatially extended electron micro-geon in strong short range gravity induced by partially cohered zero point fluctuations (mainly vacuum polarization not electromagnetic) is stable and looks like a point particle as the resolution of the Heisenberg micro-quantum microscope is increased by increasing the energy in the center of mass of the probe-target frame. The basic explanation here is in Kip Thorne's picture P3 p. 31 in the Prologue of "Black Holes and Time Warps" where Kip writes:
"the circumference of the thick black circle is far less than 2pi times its radius"
This space warp increases as the momentum transfer p in the scattering increases since the Schwarzschild radial coordinate outside the event horizon
r ~h/p (Heisenberg microscope equation)
where the effective micro-gravity coupling on the scale of 1 fermi and less is G* ~ 10^40 G(Newton)
I say:
1. Orthodox "eigenvalue" quantum measurement theory, i.e. results of measurement are real eigenvalues of Hermitian generators of Unitary groups breaks down completely for emergent complex systems with MACRO-QUANTUM ODLRO in the ground state for real particles, and the vacuum for virtual particles because of what P.W. Anderson calls "generalized phase rigidity".
2. Of course, orthodox "eigenvalue" quantum measurement theory, equivalent to Stapp's "the statistical predictions of orthodox quantum theory, does apply to the elementary excitations (quasi-particles like dressed electrons in metals, and collective excitations like plasma oscillations) above the ground state (or vacuum in which case the elementary excitations are I suppose fundamentally the transverse string vibrations of the 2D world sheet you mentioned, but at lower energy they are the lepto-quarks and gauge force bosons etc. as first pointed out by Nambu in the 60's using the relativistic ODLRO super conducting vacuum where the Dirac energy gap 2mc^2 is essentially a non-analytic (z -> 0) non-perturbative "BCS gap" of form we^-1/z. But the "eigenvalue" measurement folklore breaks down completely for the LOCAL MACROQUANTUM COHERENT CONDENSATE ODLRO GROUND STATE (VACUUM) ORDER PARAMETER (a complex number at low energy):
PSI(x) = (HIGGS FIELD(x))e^i(GOLDSTONE PHASE(x))
It's the "rigidity" in the GOLDSTONE PHASE local field (x is an event in 4D space-time that can be generalized to hyperspace with fermionic dimensions and even PSI itself may become a hypercomplex number when x is also a hypercomplex number as in non-commutative spacetime geometry) that prevents the "collapse" into "eigenvalues" of this huge non-classical local wave with the substantiality of a classical electromagnetic field as PW Anderson emphasizes in his series of More is different writings in "A Career in Theoretical Physics" (World Scientific).
For example, suppose I Fourier transform PSI(x) to get PSI~(p), in no sense can you PHYSICALLY do a kind of Stern-Gerlach filter measurement to get a power spectrum |PSI(p)|^2 as a measurement for p. There is no "diffraction grating" big enough to do the job! See Bohm's classic text "Quantum Theory" on the use of diffraction gratings to measure p etc.
The Born probability interpretation needed for the "eigenvalue" measurement folklore simply breaks down completely for MACRO-QUANTUM things. That is one of the implications for the "More is different" principle that is for emergent order of complex systems what the equivalence principle is for Einstein's gravity and what Heisenberg's uncertainty principle is for micro-quantum theory.
3. From the work of Antony Valentini we qualitatively understand why "signal nonlocality" e.g. the "presponse" of the MACRO-QUANTUM conscious mind is observed by Dick Bierman et-al
4. P.W. Anderson's phase rigidity is, for the unstable vacuum of the micro-quantum Dirac electron field in globally flat space-time is precisely Andrei Sakharov's "metric elasticity" for the "background independent" emergence of c-number Einstein gravity + unified exotic vacuum "dark energy/matter" out of the zero point vacuum fluctuations in a way consistent with t'Hooft-Susskind "world hologram" + Hagen Kleinert "world crystal lattice" + Bohm's realist interpretation.
5. All of the key phenomena of the new precision cosmology of dark energy and dark matter as well as of high energy physics i.e.
1. stability of the electron (Abraham-Poincare stress problem for self-energy that Feynman failed to solve)
2. zero point fluctuation induced rest mass of electron ~ 0.5 Mev ~ (e^2/c)/\*zpf^1/2
2. point-like appearance of lepto-quarks in deep-inelastic SLAC scattering i.e. space-warp micro-geon effect
(close relation of quasi micro-black holes to your vibrating strings of M theory)
3. Universe Regge slope (string tension) of hadronic resonances - basic data of string theory
J ~ G*M^2/hc
(consistent with my "f-gravity" rotating black hole work with Abdus Salam at ICTP 1973-74) published in "Collective Phenomena" edited by Frohlich & Cummings)
G* = c^3Lp*^2/h
/\*zpf = 1/Lp*^2
Lp* = Lp^2/3(c/H)^1/3 (world hologram) H is the Hubble cosmology parameter
Lp^2 - hG(Newton)/c^3
4. Blackett effect (actually astrophysics)
e ~ G*^1/2m
"With respect to the A-D-E graph (read as classifications of Lie algebras)
each graph node corresponds to a set of basic mirrors (which generate a
full set of mirrors) in what I call reflection space, but could also be
called eigenvalue space. This is because, attached to each mirror are two
vectors called positive and negative roots. These roots carry a set of
eigenvalues (one eigenvalue for each dimension of the reflection space,
which is the number of nodes in the graph."
There is no doubt this applies to micro-quantum measurement theory in its proper domain of validity, which is part of "The Question" here. It may also have a more universal significance in MACRO-QUANTUM theory as the unfolding (topology change) of Rene Thom catastrophes on the complex hypersurfaces of PSI(x,L) as a wavelet transform at scale L. When PSI(x,L) is the human conscious mind field the topology changes of the PSI(x,L) landscape (as in complexity theory, e.g. Murray Gell-Mann's "The Quark and the Jaguar") signal emergence and fading away of conscious qualia.
When PSI(x,L) is the physical vacuum MACRO-QUANTUM PARTIAL COHERENCE of ALL the zero point fluctuations of the lepto-quark/gauge boson quantum fields, or ALL the transverse vibrations on the 2D string world sheet at the deeper level, then the topology changes are in the structure of the physical vacuum itself.
This immediately takes us to the "ICE 9" Doomsday WMD problem that Sir Martin Rees describes in Chapter 9 of his "Our Final Hour" book. Our book "Destiny Matrix", Saul-Paul, has reference to this "ICE 9" WMD issue and our book came out in November 2002 several months before Martin's! Also you and Elizabeth Rauscher may remember I wrote reports about this issue in 1973-74 from Abdus Salam's ICTP in Trieste. I lectured on it at the Nuclear Institute in Lubljana, Yugoslavia. Fred Alan Wolf was with me. One of the people who heard me talk in Lubljana was at the Vigier Conference in Paris Sept 2003. He told me he was there. I think it was Domitan Popescu?
http://www.mindspring.com/~cerebroscopic/Program.html
Lev Okun published and also told me that Andrei Sakharov was very worried about this problem in the same period the 1970's that Rees makes public. Okun's writing is in my Austin APS talk at http://qedcorp.com/APS/
Though the conventional nuclear, bio-chem WMD in Iraq may be Neo-Conned "Deception" rather than "Destruction", the WMD in the sky, whether asteroids colliding with earth or dark energy/matter "bottled" for small-scale technology use, is real in the not too distant future not imagined IMHO.
" These roots are lattice points in the root lattice, and root
eigenvalues are bosonic eigenvalues carried by the force-type particles.
Dual to the root lattice is the weight lattice which carries fermionic
eigenvalues."
OK at micro-quantum level of application of ADEX - nice insight.
"Each root(as a set of eigenvalues) corresponds to a single
eigenvector, which is a basis element of the Lie algebra corresponding to
the Coxeter (Dynkin) graph. This is according to the Lie algebra
eigenvector equation:
AV = [A,V] = AV - VA = eV
where A runs through a set of basis elements of the Cartan subalgebra of
dimension equal to the rank r of the Lie algebra, i.e. the number nodes in
the graph. Thus there will be r eigenvalues corresponding to a particular
eigenstate V.
The adjoint representation of the Lie algebra provides the root
eigenvalues. Whereas other representations provide various weight
eigenvalues. For example in E7, there is a 7-d Cartan subalgebra (and
reflection space), a 133-d adjoint representation (corresponding to the
dimensionality of the Lie algebra itself). So there are 126 non-zero roots,
and 7 zero roots (corresponding to the 7 elements of the Cartan subalgebra
that commute with each other). These 126 non-zero roots form the vertices
of a 7- polytope (which defines the sphere packing of 126 6-d spheres
around a central sphere in the 7-d reflection space. This is a lattice
packing, and the lattice also generates the Hamming-7 error-correcting
code. [Note: the IT (eigenvector) from BIT (binary error-correcting code),
or BIT from IT, is evident in this mathematical structure.]
The 126 roots carry bosonic eignevalues, so the IT in this case is
bosonic. The fermionic eigenvalues are carried in a 56 vertex polytope
(corresponding to the 56-d representation of the E7 Lie algebra.
The ultimate IT from BIT must be in the E8 lattice, which is self-dual
and thus does not distinguish between bosonic and fermionic eigenvalues.
This lattice generates the Hamming-8 code (which is merely the Hamming-7
code with an extra parity check digit). And the E7 lattice structure is a
sub-structure within the E8 lattice."
Yes, I agree this smells like something very fundamental as in
"The Word made Flesh" (Genesis Old Testament)
"IT FROM BIT" (Wheeler)
"We are such dreams that stuff is made from." (Variation on Shakespeare's "Tempest" Prospero)
"Explicating the Super-Implicate Order" (Bohm-Hiley)
"The finite group generated by the mirrors is the Coxeter reflection group,
and is (in Lie theory) called the Weyl group. This reflection group sends
vertices of root polytopes into each other, and weight polytopes into each
other. In this way the fundamental particle rules are obeyed.
On collapse of the wave function (or rather projection of the state vector):
I speculate that there is an infinitesimal "blip" of awareness associated
with every reflection--i.e., with every change of eigenstate. A nervous
system is a means of concatenating an enormous quantity of such "blips" of
awareness into the rich experience we call individual consciousness."
Here I differ with you. What you suggest I think is too vague and cannot be mathematized.
This is where "More is different" comes in essentially.
Micro-quantum theory is
IT FROM BIT without BIT FROM IT is nonlocal micro-quantum theory with signal locality as shown in Bohm & Hiley p. 30 corresponding to
Antony Valentini's "sub-quantal heat death" with Von Neumann measurement theory of projection to micro-quantum eigenstates - that all works well
where it should for simple enough systems below the consciousness threshold IMHO.
"More is different" -> BIT FROM IT
No action without reaction.
BIT = MIND
IT = MATTER
Generation of inner conscious qualia is "back-action" BIT FROM IT
Just as mind moves matter in IT FROM BIT
So matter induces consciousness in mind in BIT FROM IT.
Just as geometry moves matter along the timelike geodesic (neglect hyperspace Kaluza-Klein for now to keep it simple),
So matter warps geometry to induce gravity.
No action without reaction.
"Now, because of the other A-D-E classifications, such as catastrophe
structures (via V.I. Arnold's singularity theory approch), other aspects of
the mind-body relationship come into the picture. The action of the
reflection group on the reflection space generates the orbit space which is
the base space of a catastrophe bundle. The mirrors of the reflection space
get mapped onto the separatrix in the base space. The identity fiber is
C^2/g (where g is a finite subgroup of SU(2). This is a singularity
containing 4-d space, which when lifted up into the Lie algebra (in just the
right way) becomes "desingularized". This is a hyper-Kahler manifold, and
is a particular type of gravitational instanton whose "infinity" is the
orbit space SU(2)/g. (This discription is due to Peter Kronheimer,
1989,1990)."
OK this is getting closer to what I am talking about above in a more informal "Wheeler" way.
"The identity fiber C^2/g can also be "unfolded" by choosing a series of
points on some path in the base space. Moving the along this path entails
picking a new fiber at each point of the path -- and moving along the path
corresponds to a time advancing. Whenever the path crossed the separatrix a
topological change occurs in the fiber."
Yes, cool. Does this explain Brian Greene's "topology change" in current Sci Am "11 Dimensions"?
"There is much more to say on this topic of catastrophe structure--base
on the work of Rene Thom, V.I. Arnold and others. I will only point out the
Thom himself regards the catastrophe bundle as a mathematical model of the
interaction of "soul and body" in a single geometrical structure.
And Arnold regards the great multiplicity of the A-D-E classifications as a
'manification of the mysterious unity of all things.'"
Yes, that is essentially the correct way to go IMHO.
"In addition to the mathematical categories described above,there are at
least a dozen other mathematical categories classified by the A-D-E graphs
that can usefully be brought into the picture. I will mention only a half
dozen.
Conformal field theories (which live on the 2-d string world sheet)
Heisenberg subalgebras of the A-D-E Lie algebras.
Korweg de Vries hierarchies of non-liner equations
Quantizing lattices (for analog-to-gigital transforms)
Generalized braid groups (related to knots and links)
Wave fronts.
Nuff said ;-)
Saul-Paul
Correct me if I am wrong Saul-Paul but what is your picture of the
connection of this group structure to consciousness. Do you have in
mind orthodox quantum measurement theory with the results of
measurement being "eigenvalues" along lines of Wigner & Stapp i.e.
"collapse." I have argued against that view for consciousness. However,
the A-D-E structure also applies to catastrophies and in my picture
there is a MACRO Q-BIT landscape in ordinary space. Think of a giant
Bohmian real quantum potential Q in ordinary space made from PSI(x) the
coherent order parameter that is literally the physical mind field.
This PSI may have a fractal structure. Actually what we have is not
PSI(x) but a wavelet transform PSI(x,L) at scale L and so we have a
family of complex functions PSI at different scales L and there are
topology changes of this what sheaf of landscapes with coupling at
different scales - gets very complex and that's I think how V.I.
Arnold's theory of singularities come in. Indeed the dynamics of the
mental landscape, say in the real representation of Q(x,L) ~Q(x,L)^-1
Grad^2Q(x,L) (or maybe the wave propagation generalization) can
actually be pictured in computer simulations allowing us to literally
read thoughts! There is a great simplification in that the
MACRO-QUANTUM mental field of the living mind in my theory is a local
complex field in ordinary 3D space and a lot of its features can be
pictured in terms of the dynamics of the real MACRO-QUANTUM potential
Q. Of course both the amplitude and phase of PSI will also have
physical importance. Since MACRO-QUANTUM PSI is literally a fusion of
IT and qubit in the condensate one has to ask if there is any analog to
a localized ball rolling on it as there is in micro-quantum theory. The
answer I think is no. But there is a distributed say electric dipole
moment IT distribution D(x,L) in two-way relation to the BIT PSI(x,L).
D(x,L) at some scale L will be directly related to nerve impulse firing
patterns for example. On smaller scales to MRI and so on.
From: Thomas D Angelidis
Date: Wed Oct 22, 2003 9:03:10 AM US/Pacific
To: Jack Sarfatti
Cc: "Thomas D. Angelidis"
Subject: Re: Conformal Group & Exotic Vacuum Dark Energy/Matter Link?
On Tuesday, October 21, 2003, at 09:28 pm, Jack Sarfatti wrote:
On Monday, October 20, 2003, at 04:27 PM, S-P & M-M Sirag wrote:
..............
There is, of course, one force missing in the above unification -- gravity.
There you need Diff(4) from breaking the 4-parameter translation subgroup of the 10 parameter Poincare group. Gravity as curved spacetime is a broken symmetry of global translational invariance. The Poincare group, in turn, is from breaking I suppose a 5-parameter subgroup of the 15 parameter conformal group of the light cone used in Penrose's "twistors." One parameter is dilation. I forget - what are the other 4? What is the physical interpretation of the 5 additional generators of the Conformal group Lie algebra? 4-momentum from translation sub-group and space-time rotations from 6-parameter Lorentz sub-group. What are the others? Shipov in his torsion theory seems to want to break the symmetry of the 6 Lorentz group parameters to get the torsion twists generalization of space-time rotations! That makes sense actually. What about those 5 conformal generators?
Starting from 15 parameter conformal group of the light cone,
C(15) = ?(5) T(4)O(1,3)
Is ?(5) = D(1)?(4)?
D(1) a one parameter dilation whose breaking of symmetry introduces the rest mass m into E^2 = (mc2)^2 + (pc)^2 mass shell
What are the 4 missing generator "charges" to add to 4-momentum and space-time rotations?
What about the dilatation and the 4 other things? What are they physically? They should already be there in global special relativity without gravity hidden as rest masses of quantum fields in some way?
The 4 other "charge" generators of the conformal group, must, therefore, be the 4-gradient of the Higgs Field! That sort of makes physical sense. Will there be a compensating gauge field?
to be continued
Professor Angelides wrote:
"Jack and Saul-Paul, the 4 missing elements of the special conformal group are known as inversions (actually, they are products of inversions and translations)."
Aha! Thanks. I need to do some homework on that. I am glad to see the Lie algebra of the missing stuff is not too different from that of the Pu Lie algebra. I was worried about that. I am glad to see that essentially we have another copy of the translation group since I need two such copies to modulate both the Goldstone phase and Higgs amplitude of my QED vacuum polarization partial coherence ODLRO parameter PSI(x,L). I get Einstein's gravity from locally gauging one of those translation sub-groups in the usual way Kibble did it at Imperial College in the 60's and I think we should get the unified w = -1 exotic vacuum dark energy/matter field by locally gauging this second copy of the translation group with the extra "inversion". Is this related to Brian Greene's "mirror symmetry" with "two geometries and one physics" in the current Sci Am?
"Geometrically, this is done by the successive application of an inversion f^1 through a unit circle centered at the origin O, an inversion f^2 through a unit circle
at some point, say, p, and a translation f^3 by the vector Op. That is, f^3 o f^2 o f^1 (o stands for composition).
The conformal inversion maps infinity, which is not a point of Minkowski spacetime, into a finite point and conversely. The action of the conformal group is
defined on the so-called conformally compactified Minkowski spacetime."
Right which is important in Penrose's Twistor theory that I vaguely remember from attending his seminars at Birkbeck in 1971.
BTW Thomas I will have access to a 2Bdr apartment in Kensington section of London soon, so I will be seeing you and Simon. Will take Saul-Paul.
"What are they physically ? In the physics literature, these elements have been referred to as "acceleration transformations". Whether these can be linked to
gravity, I am not so sure..."
Any URLs on this. This is something I must understand much better since it is the modulation of the Higgs in my model that gives the lepto-quark rest masses like
m(electron) ~ (e^2/c^2)/\zpf*^1'2
where /\zpf* = 1/Lp*2
in the quantized circulation "vortex core" of the micro-geon "ring singularity" (A Ya Burinski, Vigier IV Paris Sept 2003) where Higgs Field -> 0 like in a Type II superconducting lattice.
"One last point of logic: Since all these "small" groups are subgroups of Diff(4), then whenever Diff(4) holds, so does each of its subgroups a fortiori.
I hope this helps."
What I mean here is that in Einstein's curved space-time the translation subgroup of the global Poincare group no longer holds. Of course, you can say that once the translation sub-group is locally gauged then the local conservation of Pu is restored including the curvature as a dynamical degree of freedom as in the Bianchi identities
-> Tuv(x)^;v = 0
Now all that comes from Kibble's locally gauging only the translation sub-group of the 10 parameter Poincare group.
I think Utiyama in 60's locally gauged the full 10 parameter Poincare group to get the torsion fields from the 6 parameter Lorentz group years before G. Shipov got there.
My question now is what is the physics of locally gauging the dilaton + the 4 translations with these "inversions"?
If my theory is right what we get physically are dark energy/matter exotic vacuum fields.
That is gravity + torsion + exotic vacuum dark energy/matter + dilation field
We know that Universe is 96% exotic vacuum at large FRW scale.
We did not really know that last year for sure.
A"ll good wishes
Thomas.
PS Jack, your references to the so-called quantum nonlocality and signal locality (a rather silly idea) etc need to be corrected (but I am not going to start
quoting chapter and verse; you know what I mean...). "
On that we really need to Pow Wow at length with The Pundits including Hiley, Valentini, Stapp, Bierman (the experimentalist) and Duke it all out. :-)
A good place to do this is Simon's Private London Club on Portman Square which has wireless for our laptops. I will get to London ASAP probably early next year for an extended stay of a week or two or three depending on how long I can get the Kensington apartment at that time.
I suppose you mean "quantum nonlocality" is the "silly idea" since you argue for "signal locality". The big issue is "signal nonlocality" for which there is evidence IMHO. How good that evidence is, is also part of "The Question."
Sirag wrote:
Jack & Thomas,
On the role of the conformal group SU(4) or SU(2,2):
Yes, for Penrose twistor spinor of conformal space-time.
The extended E7 Coxeter graph is
1-2-3-4-3-2-1
|
2
From this it follows via the McKay correspondence between the E7 (Kac-Moody)
Lie algebra and OD (the octahedral double group as a subgroup of SU(2)) that
the complex group algebra C[OD] is equivalent to the direct sum of total
matrix algebras:
C[OD] = M1 + M2 + M3 + M4 + M3 + M2 + M1 + M2
Since the squares of the numbers on the Coxeter graph (which I call balance
numbers) sum to 48 (in accord with the 48 elements of OD), we see that the
matrix algebras span the full 48-d vector space of C[OD].
In my "Consciousness: a Hyperspace View" paper (published in 1993 as a 40
page appendix in Jeffrey Mishlove's book *Roots of Consciousness*) I wrote:
In the scheme of this paper E7 is the high-energy symmetry group, but
because of the McKay correspondence between E7 and OD, the unitary group P
in C[OD] is a 48-d principal bundle projecting down to a 10-d base space S,
each point of which is a copy of the 38-d fiber G. We write these spaces out
as the following Lie groups:
S = U(2) x T^6;
G = U(1) x SU(2) x SU(3) x SU(3) x SU(4) x SU(2)
where U(2) is a 4-d spacetime called *conformally compactified Minkowski
space*; T^6 is a 6-d torus = U(1) x U(1) x U(1) x U(1) x U(1) x U(1).
We consider S as the 10-d spacetime of superstring theory and G as the
symmetry group of the following six forces, which we identify in sequence
as: electromagnetism, weak, strong (color), hyperweak, gravity and perhaps
the feeble force.
We can write: P = S x G. Since U(2) = U(1) x SU(2), we can rearrange S
as S = SU(2) x T7. We regard SU(2), i.e., spherical 3space S^3, as the space
of cosmology -- the space in which we as macroscopic bodies appear to live.
Every point of a macroscopic body is a point of S^3. Thus, if we view S as a
fiber bundle, every point of a macroscopic body is actually a 7-d spce which
is a copy of T^7. Note that the 7=torus T^7 incorporates the factor U(1)
from the U(2) spacetime, and thus includes time. Now T^7 corresponds (via
McKay's theorem) to the 7-d reflections space of E& as follows:
T^7 = R^7/Lr
where R^7 is the *real* part of the E7 complex reflection space C^7, and Lr
is the E7 root lattice. This means that all the points of the lattice are
identified as a single point, the identity element of T^7, and every other
point of T^7 is a copy of Lr.
[end of quote from my 1993 paper]
Note that SU(4) is the 15-d conformal group, and if you need a fancier
version of this group it is sitting in C[OD] as M4 -- which is the set of
all 4 by 4 complex matrices. The set of all invertible elements in M4 is
GL(4,C), and the set of all unitary elements is U(4) = U(1) x SU(4).
This is the paper that John McKay referred to in his short paper "A
rapid introduction to ADE theory," which can be found at:
http://math.ucr.edu/home/baez/ADE.html
[Note:
It may be that the cosmological space of this paper S^3 = SU(2) should
be replaced by SU(2)/g where g is a finite subgroup of SU(2). McKay's
correspondence consists of a profound A-D-E classification of these
subgroups, which I have called McKay groups.
Cf. October 9 *Nature* paper by Luminet et alia.
Morover, in 1989 Peter Kronheimer (a graduate student of Michael Atiyah)
proved the A-D-E classification of C^2/g as gravitational instantons
(closely related to twistor structures). The "infinity" of any such
instanton is SU(2)/g.
In addition, it is very interesting that C^2/g is the identity fiber of
an A-D-E classified (via V.I. Arnold) Thom type catastrophe bundle.
BTW: There is a different conformal invariance involved in string
theory. The 2-d world sheet is conformally invariant (and 2-d Lorentz
invariant) so that a 2-d conformal field theory lives on this space -- and
is a basic entity in superstring theory. And it just so happens that 2-d
conformal field theories are A-D-E classified.
For this and many other reasons, I believe that the study of all
classifications of the A-D-E graphs (which I call ADEX theory) is the key to
the deep study of reality.
All for now.
Saul-Paul
I have not yet absorbed your last message Saul-Paul. Leaving for Austin, Texas soon.
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