On Jul 4, 2004, at 4:16 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
On Jul 3, 2004, at 8:33 PM, Paul Zielinski wrote:
Everyone agrees that the laws of GR are formally covariant under
general coordinate transformations -- or under the group Diff(4)
of point set diffeomorphisms on a 4-dim pseudo-Riemannian manifold
(which is subtly different).
But this is not enough to give us *actual physical relativity*
with respect to accelerated motion.
The reversible tetrad map LNIF(P) <---> LIF(P) does that
i.e.
guv(LNIF at P) = Eu^a(P)(Minkowski)ab(LIF)Ev^b(P)
After all, in classical mechanics Newton's second law F = ma also
holds *formally* in non-inertial frames; but this cannot amount to
true relativity with respect to such frames, since the observed
forces are regarded as "fictitious" -- i.e., only apparent, a
kinematical artifact.
Bad use of language since we feel and measure fictitious forces same as gravity!
Obviously I am not saying that the classical paradigm is correct --
Yes, I did not mean that as directed to your particular usage - it's in text books.
I am simply offering
this as an illustration of the distinction between mere formal covariance and
actual physical relativity.
Yes, there is a difference, but I think the additional tetrad map formal equation bridges that gap. How to describe it in informal common language in Bohr's sense is subject to the ambiguity of common language. The only real differences are either in the formal language of the equations and/or a real change in some actual operational procedure and/or gedankenexperiment and/or some new prediction. There is always ambiguity in explanations using informal language and that degenerates usually to moot matters of personal taste - until some new observation comes along to lift the degeneracy. Like the discoveries of both dark energy and dark matter with Omega(ordinary "Machian" matter) ~ 0.04 out of a total of 1.00! That's what is truly important! That and the cosmological constant /\ ~ (10^28cm)^-2 when random ZPF quantum field theory for the incoherent physical vacuum predicts /\ ~ (10^-33 cm)^-2!
This "bad use of language" -- "fictitious forces" -- is that of Newtonian physics.
on the formal symmetries of the theory, but also on the *physical
interpretation* of the covariant laws.
Einstein's original approach was to interpret such "fictitious"
forces as real, based on his concept of the unified gravito-inertial
field, described by the transformable/deformable metric tensor g_uv.
This was at the core of his original concept of general relativity, as
I have previously argued.
So whether we do or do not have physical relativity depends not only
Still true today.
Not according to the majority of gravitational theorists.
Who is currently claiming that arbitrarily moving frames are all physically equivalent
in modern GR?
Who is now claiming that a matter-induced gravitational field is as a general principle
*locally fundamentally identical* to an accelerated frame of reference?
MTW is 1970 vintage. I seriously doubt that even Wheeler would stand behind any
of this now, despite his desperate attempts with Ciufolini to stave off lethal criticism in
the 1990s.
What you need to do here Paul is to pin this down with specific statements that you think oppose
each other side by side. I really do not understand your point here.
So what is the theoretic basis for the supposed "annihilation" of the gravitational field
at some point in an LIF?
Again, I think your confusion here is over garbling two distinct meanings of "gravitational field" as
1) a connection field, i.e. a g-force
2. 4th rank tidal curvature tensor field
1) is locally annihilated, 2) is not.
There is no contradiction.
BTW Kleinert has a generalized GR in which 2) is formally locally annihilated, but I do not know if he means that can be achieved physically?
What is the theoretic basis for the non-tensorial character
of the gravitational field energy density in GR?
The real statement is that there IS a local gravitational field stress-energy tensor. It is
-tuv(pure gravity) = (c^4/8piG)Guv = (String Tension)Guv = (Metric Elasticity)^-1Guv
where
Guv = Ruv - (1/2)Rgiv
Einstein's local field equation of 1916 is then simply
tuv(pure gravity) + Tuv(ordinary matter-field) = 0
Take the covariant divergence to get
tuv^;v + Tuv^;v = 0
This is local conservation of stress-energy density current!
However, something peculiar happens in the torsion-free 1916 DEGENERATE case.
The Bianchi identities relative to the usual symmetric connection field from guv partial derivatives gives SEPARATELY
tuv^;v = 0
Tuv^;v = 0
This is a BORING UNIVERSE without reaction-less warp drive possible because there is a gap between the geometrodynamic "marble" currents tuv and the ordinary matter-field currents Tuv!
In the BORING non-exotic vacuum without any dark energy and without any dark matter:
tuv^;v = 0
i.e.
Guv,^;v = 0
where tuv(pure gravity) = 0 everywhere-when BORING BORING BORING.
God has more imagination then that! Otherwise God is malicious and not subtle at all. That is what the flying saucers are telling us.
But our universe is not boring! Flying saucers prove that. Flying saucers are an "iron post of observation" covered over by the "paper mache" of theory.
In the INTERESTING exotic vacuum with dark energy and dark matter and with Tuv(matter-field) = 0
Guv + /\zpfguv = 0
even in the usual symmetric connection field sense, i.e. covariant partial derivatives ";" are always relative to a connection!
We now have, at the very least,
Guv^;v + /\zpf^,vguv = 0
with
Guv^;v =/= 0
Extracting ZPF vacuum energy means, for example
/\zpf^vguv = (8piG*/c^4)Tuv^;v
if we can arrange in a special case
Guv^;v =/= 0
In general
[tuv(geometry) + Tuv(matter-field)]^;v = /\zpf^,vguv
* This is like two resistors in parallel with /\zpf^,vguv like an applied voltage with negative resistance possible for stealth cloaking of war machines.
* Now the problem you allude to at the beginning is a totally DIFFERENT PROBLEM of defining a global integrated Pu in an asympotically flat space-time for a matter-free region of space-time with localized curvature and with all zero point energy density = 0 in the problem.
That Pu global integral is not a simple integral of a local tensor density.
As far as I can see there is none. This is simply a relic of Einsteinian "general relativity",
which doesn't actually exist.
and in several books on relativity. I have all the quotes.
Display them. Your argument depends on these details.
If Einstein's math is interpreted differently -- as some have
proposed -- then we lose physical general relativity, even while the
formal general covariant character of the laws is left undisturbed.
Again that is subjective aesthetics - not physics.
PZ: Einstein himself explained this very clearly in his earlier papers
JS: Again I do not think these gyrations of the informal language that leave the formal equations
alone and do not change any operational procedures and gedankenexperiments are important
scientifically - at best a matter of psychology and cognitive style.
This "positivistic" view of physical theory -- which became fashionable in the
1930s -- was abandoned by Einstein himself in the 1920s. That's what he
was referring to when he told Heisenberg in Berlin (1926) that much of his
thinking about SR(1905) was "rubbish".
I see no reason to accept what you just said. I mean no scientific reason. Again this is aesthetics, metaphysics. I think you have confused Einstein's point here. I never said that ALL mathematical objects in the theory must have direct operational definitions, which is what Heisenberg was trying to do in his matrix mechanics.
(I must get the original German quote on this. A more contemporary translation
might be "bullshit".)
I imagine that is why he also publicly repudiated Ernst Mach as a "deplorable
philosopher" in the early 1920s, and started talking about a quasi-Lorentzian
ether.
Again this is neither here nor there. So what?
This all happened after the final development of GR in 1916, which profoundly
altered Einstein's metatheoretic approach. That is how he became a *critical
realist* -- and why he objected so strongly to Copenhagen quantum physics.
OK
Critical realism is not positivism. It is not even Machian empiricism.
I think you mischaracterized my position here as naive positivism. But we can quibble like Laputan M-theorists on that for zillions and zillions of aeons - and have.
"It is the *theory* that determines what can and cannot be measured" -- Albert Einstein
Yes, obviously as can be seen in my discussions with experimentalist Ken Shoulders on "black EVOs" that he thinks may show v >> c.
It is really two-way.
Theory determines what can and cannot be measured AND Experiment co-determines what can and cannot be conceived.
IT FROM BIT AND BIT FROM IT
The sound of TWO HANDS CLAPPING!
Forget ONE HAND CLAPPING.
This is all in Stachel, who is a highly regarded contemporary historian of Einstein's
work. Stachel was himself professionally trained in gravitational physics at ranking
institutions, so he also knows something about this subject from a strictly internal POV.
I need to see specific statements on a case by case basis. No blanket judgments without evidence.
So general covariance is not the same as Einsteinian "general relativity".
Never said it was. It is necessary not sufficient.
OK then. So if the exact local identification of gravitational fields and frame acceleration
is now untenable, then so is Einsteinian "general relativity".
I do not accept what you just said as true. You made a false premise. It's not untenable at all.
Gravitational field = connection field.
You can't have it both ways. Unless you are the Red Queen who believes three impossible
things before breakfast...
Puthoff seems to say in PV it is NOT necessary - an error.
It is not necessary for fundamental physical reasons of "general relativity"..
I see no evidence, no coherent argument for what you just wrote.
Show me how to do gravity in all its fullness without writing the tensor field equations of Einstein.
I think you have made an obviously false statement.
However, if you want to deal with gravitational physics in arbitrary frames of
reference, of course the tensorial formulation of GR is pragmatically indispensible.
I actually agree with you on this point.
So what are you talking about? I have no understanding of what point you are trying to make here.
Indeed, you seem to be the Red Queen! :-)
It is BAD PHYSICS not to be able to deal with arbitrary LOCAL frames of reference.
But I don't think that is the purpose of PV, which is not offered as a fundamental
theory, but more as an engineering model with heuristic utility.
It fails badly on both counts. Hal cannot describe a rotating source. Therefore, he cannot describe a gravimagnetic field.
Practical metric engineering demands a gravimagnetic field, yet he claims that PV is the Yellow Brick Road to The Stars.
Hal is The Wizard of Oz in NASA BPP and STAIF! :-)
The point is that
it can be applied by engineers who have not mastered the mathematics of tensors
in 4-dim spacetime. -- raising and lowering indices, trace operations, covariant
and contravariant tensors, and all that stuff.
Hogwash. Smart high school kids can do tensors. Hal cannot solve even one interesting problem in metric engineering warp drive and star gates with Hal's published versions of PV. Ibison showed that a real test of PV in the case of pulsars failed to come up with the correct observation in contrast to GR, which does. Indeed a Nobel Prize was given for that I think.
We have a similar situation in quantum chemistry, where all kinds of naive "floating
models" of atomic and molecular structure are successfully used by chemists for
practical heuristic purposes -- but these are just icons which evaporate when the
exact quantum mechanical theory is taken into account.
False analogy. No one has used PV successfully. Getting the 3 classic tests of GR with PV is not a success, but a minimal necessity.
I agree that this can become pathological if the floating models are taken too
seriously. In fact this is one of the big problems I had with theoretical chemistry and
the way it is taught in universities. That's part of why I switched to foundations
of physics, hoping to get the "real deal".
Boy was I naive.
indeed in favor of a NON-"general relativistic" interpretation of the
formal theory.
As I understand it, the current consensus in gravitational physics is
Show me with exact quotes.
Look at Ohanian and Ruffini, where there are plenty of citations.
About what specific points?
Their entire book is written on this very premise.
Which is? Play it again, Sam.
physicists. Even Wheeler writes that "'general relativity' is the name
Einstein gave to his theory of gravitation". Weinberg and Feynman,
to name just two others, thought that Einstein equivalence is a red
herring -- a mere heuristic tool that happened to lead to the current
theory, but not now part of the correct interpretation of that theory.
If I am confused on this, then so are most contemporary gravitational
I have not read Weinberg on this. I do not read Feynman that way. Cite specifics.
It's all in his "Lectures on Gravitation". He even compares gravitational distortions
of rods and clocks to thermal expansion of bars on a hotplate:
"We may think... of the man who is making measurements with a physical
ruler on a hot plate; the ruler obviously changes length as he moves to hotter
or cooler regions. But this makes sense only because we know of something
which can measure distances without being affected by the temperature,
namely light."
And that's why it is not a good analogy.
"The situation is quite clear in the case of the hotplate... only because we have
assumed that light measurements are unaffected by heat. In the case of
gravity, however, we know of no scale that would be unaffected -- there is
no "light" unaffected by gravity with which we might define a Galilean
coordinate system." - "On the assumption that space is truly flat", p 112
Right. I wonder if you are reading Feynman correctly here?
He explicitly characterizes that the equivalence principle as a mathematical
"coincidence" which might be explained by gauge symmetries of the spin-2
field:
"It is one of the peculiar aspects of the theory of gravitation, that is has both a
field interpretation and a geometric interpretation..."
You must be careful here not to base the explanation of Einstein's GR emerging from a perturbation theory of a spin 2 quantum field on a globally flat space-time non-dynamical background using only a FINITE sum of diagrams.
"The geometric interpretation is not really necessary or essential in physics.
It might be that the whole *coincidence* might be understood as representing
some kind of gauge invariance." - p 113 [my emphasis]
Depends on what you mean by "necessary" or "essential" - again this is aesthetics.
Remember he was working on a flat-background theory of quantum gravity --
which I believe yours also is.
NO! You completely misunderstand me here. I tried to explain that in my earlier message today.
My theory is background-independent, i.e. the smooth curved space-time background is dynamical and emerges from the ODLRO of the true post-inflationary physical vacuum and it is non-perturbative in the same way that the BCS superconducting ground state cannot be reached from the normal metal ground state in finite order in perturbation theory. The globally flat pre-inflationary false vacuum is non-dynamical and cannot support any finite rest mass quasi-particles, it's all m = 0. The giant vacuum wave wobbles and adjusts. It self-organizes to make the Einstein guv field and also dark energy and dark matter fields in this or that post-inflationary bubble in the sense of chaotic inflation.
He even mentions that the success of "general relativity" in explaining the anomalous
orbit of mercury might be entirely due to the non-linear character of the field
equations, and nothing necessarily to do with curved spacetime geometry or
Einstein equivalence.
A false dichotomy.
In other words, it is not an empirical confirmation of the
reality of the geometric model, which Feynman evidently regarded as fictitious.
This again is metaphysics/aesthetics - not physics.
This explains to me his frustration at the Polish conference, where he appeared to
be skeptical as to whether what was being discussed was actually "physics" in
any acceptable sense.
No, I do not think that is what bothered him. I am sure Feynman would have said the same thing today about M-theory on Brian Greene's NOVA had he lived to see it as he said at the Polish GR conference in 1961. Indeed, Feynman would have jumped on the table and hissed at Brian like a snake as he once did in the Cal Tech Cafeteria performing for hundreds of undergrads. It was lack of contact with observation and mathematical "rigor mortis" which bothered him. This was all pre-MTW. Hal Puthoff's PV is a characature of pre-1961 physics. Feynman would have jumped for joy over the new Type 1a supernovae, the WMAP and other results of the concordance in "precision cosmology." Feynman would not have signed that May 22, 2004 letter in New Scientist.
relativity, except in some weak phenomenological sense (which latter,
ironically, was Einstein's original 1905 view of SR as a: theory of
principle").
If there is no "general relativity", then there is in reality no physical
The "beef" of GR is the TENSOR eq (under Diff(4) globally and O(3,1) locally)
Guv + /\zpfguv = - (8piG/c^4)Tuv("matter")
Therefore, I simply do not understand what you are saying.
But you have already admitted above that a covariant tensor formulation of the
laws of gravitation does not guarantee actual "general relativity".
You distort what I said. Actual GR is embodied in
Guv + /\zpfguv = (8piG/c^4)Tuv
Where EEP is expressed formally as the tetrad relation connecting guv to Minkowski metric locally at a point P in the usual torsion-free connection choice for defining the partial covariant derivatives ;u.
Not all covariant tensor field equations for gravity need be the above specific one. So what? Einstein's works. It is battle tested. The others do not work.
The point is that the exact literal identification of a gravitational field and some
acceleration field within some infinitesimal neighborhood in free fall is critical to
the Einsteinian principle of general relativity.
Correct. I have consistently said that.
Remove this, and you no longer have actual "general relativity".
Correct. So what else is new?
Yes, you can re-define the "gravitational field" as a connection field, but as far as I
can see this is just an *ad hoc* rhetorical stratagem to divert attention away from the
failure of Einstein equivalence as a fundamental physical principle.
Huh? I do not understand what you are saying here. You lost me.
Smoke and mirrors.
?
I think this was even Eddington's view in the early 1920s. Eddington stated in his
"Mathematical Theory of Relativity" (1923) that there is no good reason to assume
that the Riemann curvature locally has no direct physical significance, or can be excluded
from the characterization physical g-fields, as Einstein tried to do.
This is a Red Herring. I do not believe Eddington said that.
The Riemann tidal time-like geodesic deviation for pairs of point test particles tensor curvature is the inhomogeneity in the non-tensor connection g-force field. I see no problem here either conceptually or formally.
He explicitly states that the equivalence principle as originally conceived by Einstein is
not to be taken too seriously, and is to be downgraded to the staus of a mere heuristic
tool which need not be referred to -- and indeed should not be referred to -- in the
critical interpretation of the theory.
Fine, so what of it? Similar qualifications can be made for all important key organizing ideas for all successful physics theories.
Bohm says same thing in his "proper domain of validity" qualification for all important physical ideas. Why pick on the poor equivalence principle?
How about the linear Schrodinger equation evolving unitarily in configuration space? According to many Pundits its domain of validity has no boundary and is infinite! Dyson does not think so and neither do I.
And I think this is also the modern view of the conceptual development of GR, which
correctly distinguishes between the context of discovery and the context of critical
evaluation.
Fine on that.
Einstein pretty much implied all this himself: he viewed
his proposed extended relativity principle as a natural development of
his special relativity principle to encompass accelerated motion.
Right. That's the way I understand it.
Well, this is no longer tenable. There simply is no true physical relativity of arbitrarily
accelerated motion in modern GR.
I don't understand your sentence.
And there is not even any theoretical need for it, since Einstein equivalence is no longer
tenable as a fundamental physical principle.
I don't understand your sentence.
Although OF COURSE you still get a correspondence bridge to SR based on
the approximate local cancellation of the connection field within an LIF. But this
does NOT mean you actually get SR, or that the gravitational field is literally "annihilated"
anywhere in an LIF (see, e.q., Landau and Lifshitz) -- unless physical gravitation
is eliminated from the problem (no sources).
You are beating a dead horse here. No one takes the annihilation literally. The precise statement is a mathematical idealization at a "point."
That's the point!
Really? :-) I think the physical point is what matters here, which is that astronauts freely orbiting Earth in a closed elliptical orbit without rockets firing and without rotation about the ship's center of mass are continually weightless in constant free float. They are timelike geodesic observers passing through a continuous sequence of LIFs along their timelike geodesic path. As soon as they fire rockets they pass through a continuous sequence of LNIFs on a timelike non-geodesic path and they experience time dilation relative to their geodesic comrades they left behind. In contrast, when our brave Argonauts use ZPF warp drive they remain in free float LIFs even though to a distant observer they appear to have v >> c and make sharp sudden changes of course through large angles with no internal g-forces! That's a good trick The Visitors in Flying Saucers allegedly are doing for us to watch and wonder.
This all relates to the field energy conundrum. If the gravitational field is not "annilhilated",
then why are frame-dependent inertial contributions incuded in the Einstein pseudo-tensor?
IMHO this is all simply a hangover from the earlier Einsteinian approach. IMHO consistency
demands its critical reappraisal within the context of the contemporary interpretation of
the theory..
If you only include observers in uniform relative motion and assume invariance of c under that limited group of transformations including global translations as well as all 6 space-time rotations you get 1905 SR.
No, you also need the Machian-Poincarian gloss on the formal theory, which
considers the formal Lorentz invariance of the laws to reflect the fundamental physical
*meaninglessness* of any distinction between actual inertial motion and relative
inertial motion. In Einstein SR this is how it's all reduced to kinematics.
I don't understand your sentence.
So this requires more than mere *formal* invariance.
After all, we can get *formal* kinematical Lorentz-Einstein invariance simply by
agreeing to rescale our spacetime coordinates for uniformly moving frames according
to the Lorentz-Einstein transformation formulae. This would preserve the *form*
of Maxwell's equations in all inertial frames, but it ain't Einsteinian special relativity.
This particular artifice is no different from using logarithmic graph paper to get a straight line
plot.
?
SR means do NOT locally gauge the Poincare group! It means do not locally gauge any space-time symmetry group under the constraint that the speed of light in vacuum is an absolute invariant. That c is an absolute invariant does NOT imply it is an upper speed limit to anything.
That's not Einstein's theory.
Sure it is.
In Einstein's theory, c is a fundamental invariant based on the reduction of the Lorentz
transformations to pure kinematics and *therefore* an upper limit on the speed of relative
motion, and of relative signal propagation.
False. It is true that you cannot subluminally boost a subluminal signal into a superluminal signal. People have extended SR to include superluminal boosts. The issue is retarded causality. Signals with speed c are still frame-invariant with these super-boosts, but not the usual conception of past causes and future effects along timelike or lightlike histories with no spacelike actions at a distance outside the local light cones.
In Einstein's theory, the kinematics are not to be
regarded as *contingent* on the physical properties of light signal propagation, but as
more fundamental and determinative of limits on all possible relative motion and
electrodynamic propagation, so that the limit on signal propagation logically *follows* from
fundamental kinematical constraints.
Again this is wrong. There are counter-examples. It is true historically that Einstein put in retarded causality as a logically independent postulate just like Euclid's 5th, but you are wrong to claim it as a theorem!
This is what gives you the *fundamental kinematical reciprocity* of the Lorentz-Einstein
transformations at a deep interpretive level. And *that's* what leads to the infamous clock
paradox.
Wrong. There is no clock paradox. A timelike geodesic has the LONGEST proper time of all world lines starting and ending at the same pair of points both in SR and in GR. There is no paradox at all. This is simply the dynamical action principle for a free test point particle. BTW some famous physicists get this wrong writing SHORTEST confusing 3D Riemannian geometry with 4D Lorentzian geometry.
Otherwise, Einstein's theory would not be fundamentally different from those previously
proposed by Poincare and Lorentz -- and Einstein would lose priority.
I don't understand your sentence.
I am not arguing that this "Einsteinian" interpretation of the formalism is *correct*. To the
contrary -- I would argue that the clock paradox shows that it cannot be.
What "clock paradox"? I don't understand your sentence.
I am just saying that this was Einstein's theory ca.1905.
I agree it might be interesting to speculate how Einsteinian SR would look to a physicist
who had access to some kind of "superlight" that propagates signals at vastly greater speeds,
but is invisible to Einsteinians. It might be analogous to a 5-dim being looking down at
flatlanders in 4-dim spacetime.
That is what we have in post-quantum theory with signal nonlocality that violates the no-cloning a quantum theorem and the whole Temple of "quantum computers" and "quantum cryptography" and "quantum teleportation" is rendered "impotent and obsolete" -- of course no one has yet built a quantum computer nor are they likely to build a non-trivial one in the near future. Do The Visitors in the flying saucers have them?
No micro-quantum computer can be a conscious computer.
http://stardrive.org/cartoon/spectra.html
To get that, one must make something like an Arrow of Time additional postulate that future causes of past effects is impossible. That is an entirely different story beyond relativity as simply a symmetry theory of space-time.
If you include COINCIDENT observers at SAME event P (i.e. in tiny ball centered at P) in arbitrary relative motion then you get GR(1916) relative to that choice of connection field that comes from ONLY locally gauging the 4-parameter translation sub-group T4 of the 10-parameter Poincare group.
The math is uncontroversial. What is problematic is the *interpretation* of the math.
I think you have made too much of this for classical GR. It is more relevant to QM.
And this goes well beyond mere operational definitions, as Einstein instructed Heisenberg
in 1926.
I never said operational definitions were required for ALL important theoretical ideas. I did say that arguing for a different informal language to adorn a formal theory without any differences in operational definitions and/or gedankenexperiments and/or actual physical predictions is empty rhetoric for Laputan disquisitions like we see in M-theory and perhaps in Loop Quantum Gravity? My God, the M-theorists have the audacity to say they are looking for an organizing idea like the "equivalence principle" that you eschew! They also say that M-Theory is not a theory but some kind of hope looking for a problem! I find the M-theorists like the poets satirized by W.S. Gilbert in "Patience" with Ed Witten as Grosvenor perhaps? :-) Well I am not content with a "vegetable love." http://math.boisestate.edu/gas/patience/html/index.html
Now, Einstein did NOT historically derive GR that way because the modern understanding of the organizing idea of "local gauge invariance" did not exist until after he died.
If further, you locally gauge the 6-parameter Lorentz group O(1,3) you get an additional torsion field piece to the connection field for parallel transport of tensors (and spinors using Penrose-Newman) along vector fields in the base space. You now have a larger local symmetry group than GR's 1916 Diff(4)xO(1,3). If you go even further and locally gauge the full 15-parameter conformal group, or even the 16-parameter GL(4,R) you will get even a bigger connection field with new physical consequences to be explored.
But it now looks like this aspect of his program was not successful.
I think it has been extraordinarily successful.
Heuristically, yes. But as I have said, the thing eats its own tail.
I think Einstein knew this.
Again your point eludes me.
redefined to mean something quite different: the reciprocal influence of
gravitating matter on the vacuum, and vice versa.
Of course, the term "general relativity" has in the meantime been quietly
I thought Einstein always thought of it that way - I mean from at least ~ 1916 on? I am not up on the detailed history of how his thought evolved. What he may have said between 1905 - 1916 is not really relevant.
Not quite -- if I'm right about gravitational energy.
What Einstein thought early on is critical to understanding why those such as
Misner and Wheeler still insist that the gravitational energy density must be defined in
such a way that it transforms locally as a pseudo-tensor which can be locally
created or annihilated at will by a mere frame transformation.
since it clearly entails instantaneous action at a distance in order to
explain inertial phenomena -- which of course leads us to a very different
view of inertia as arising locally from a matter-vacuum interaction.
Even Einstein abandoned "Mach's principle" (really a hypothesis) by 1920,
Agreed, Mach's principle is not a necessary part of GR even though it heuristically motivated Einstein.
OK. So here is a clear example of the kind of thing I'm talking about, and you seem
to agree on this particular example.
Also the recent discovery that 96% of the stuff of the universe is not "matter" as Mach and Einstein thought of it means that the whole idea of Mach's Principle rests on very shaky ground and must be re-evaluated in the light of new surprising observations.
OK.
The ghost of the departed Lorentzian ether. Quite a different kettle of
fish.
Paul
"Ether" is back in, although not the old Galilean group version. "Ether" like "tensor", "spinor", "connection" are all relative terms defined relative to a choice of symmetry group G.
The Lorentzian ether was not Galilean.
This is all about Einstein vs. Lorentz, not Einstein vs. Galileo.
P.S. I have been revisiting SR, and I think I now may have a bulletproof
version of the clock paradox that I'd like you and Hal to take a look at.
Would you be willing to do that?
Depends what you mean by "clock paradox" - time dilation is a proven fact in many experiments.
Lorentzian time dilation is. But that is not the same as Einsteinian universal kinematical time dilation.
The Lorentzian distinction between real and apparent kinematical dilation has not been disproved
empirically.
And you cannot prove a contradiction (clock paradox) empirically.
I know this must sound like a crank perpetual motion thesis -- but I'm
serious.
Jack Sarfatti wrote:
General coordinate transformations handle all - so I do not understand what you mean.
I think you are confused here.
True, given any symmetry group G you can make the laws covariant under G.
GR deals with a special choice G = Diff(4).
Diff(4) handles LNIF --> LNIF'
Also it includes EEP tetrads LNIF <---> LIF
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
On Jul 3, 2004, at 9:07 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
The general principle includes the special principle.
Only if the special principle is re-interpreted *ad hoc* to bring it in line with the general principle as currently
interpreted.
OK - what's wrong with that?
Nothng. In fact that's what I'm proposing myself.
We just need to be clear about this.
This is all explained in Ohanian & Ruffini, "Spacetime and Gravitation", which I believe you have.
Jack, here you are disagreeing not just with me, but with most contemporary authors.
What pages specifically?
Chapter 1. Have a look.
They agree closely with Eddington and Synge, among many others.
acceleration controlled by the distribution of matter?
Who now actually believes with Einstein 1907-1916 that physical gravitation is simply a form of variable frame
I do if you change "simply" to "essentially" and if you change "matter" to "matter and exotic vacua."
But then you have to say that while the connection field is "essential" to the physical characterization of the
gravtitational field, the Riemann curvature field is not..
I think that was Einstein's later position. But that's where I have a problem.
Do you?
Of course.
But you have already agreed that tidal forces are measurable down to a point in an
LIF.
If tidal forces are an essential characeristic of physical gravitational fields, then this means
the typical gravitational field is not "annihilated" anywhere in an LIF, and the whole classic
Einsteinian argument about local field energy is untenable -- as Laue pointed out.
You seem to be arguing inconsistently here.
On the contrary, I perceive you as arguing inconsistently here. Again you simply confuse non-tensor connection field g-forces with its tensor tidal derivatives! You confound f(x) with df(x)/dx. You have simply confounded the ordinate of a curve at a point with its slope. That's your basic confusion on this Hobby Horse of yours - a peculiar conceptual blindness.
When curvature is zero everywhere when special relativity works globally, i.e. there exist global inertial frames GIF
OK.
When there is curvature the special principle works locally subject to the 2 restrictions I mentioned previously.
In general, only at a spacetime point.
More precisely in a neighborhood of space-time point P of scale L small compared to scale of local radii of curvature. Since the latter at surface of Earth is ~ 1AU that is not much of a restriction on L for terrestrial measurements.
It only works *approximately* in any finite spacetime volume. It is only exact -- *for the
connection field alone* -- at a point.
I have said this repeatedly so your point again eludes me.
Also L >> Lp* which is usually taken as 10^-33 cm though it may be larger.
What this means is that the predictions of SR in an LIF are *empirically compatible* with those of GR when the
LIF is contracted to a point.
No to a "ball" and here at Earth it can be a pretty big ball. You need to put this "point" thing into proper perspective with numbers.
I mean in *any* finite neighborhhood, no matter how small. This is all a matter of approximation.
Yes.
Where there is non-zero Riemann curvature (i.e. gravity) in any finite volume of spacetime,
they are only approximately compatible.
As explained in detail in MTW for example. Obviously the 4th rank curvature tensor is NOT generally zero and that includes LIFs as well as LNIFs - but its practical effects on surface of Earth are very tiny and for a majority of practical purposes are ignorable.
Right. Generally it's not a zero tensor anywhere in an LIF.
SR knows nothing about this.
Nor should it. So what?
are only a subset. For example, SR makes no predictions regarding tidal forces, even if we extend SR to handle
accelerated frames. Yet according to modern GR, tidal effects may be empirically detectable everywhere in an LIF.
Of course this does not mean that even in such a contracted LIF the predictions of SR *match* those of SR -- they
What's your point? It is trivial that SR is a sub-theory of GR and that SR needs GR corrections if one does precise enough measurements.
Right.
The point is, in general we do not actually get SR anywhere, even in an LIF. It's just a correspondence bridge.
Depends what you mean by "actually." We live in a LNIF at surface of Earth yet SR equations work extraordinarily well! That's because the local curvatures are ~ (10^13 cm)^-2.
So, the gravitational field is not "annihilated" anywhere in an LIF.
So there is in reality no Einsteinian "general relativity".
That's the point.
You are fundamentally confused here. There are several experimental tests of GR that work well.
All covering theories transcend the theories they cover.
Fine. So we agree.
Perhaps the problem here is you don't see the close connection between classic "general relativity"
and the supposed complete physical "annihilation" of the gravitational field at some point in an LIF?
Astronauts in orbit around Earth are continuously in free float weightlessness - that is an essential test of the equivalence principle.
Mathematically you can find a sequence of LIFs in which the connection vanishes at every point on the timelike geodesic that is the orbit of the aforementioned astronauts to a good approximation. That's good enough.
All this confusion about "aether" for example is because people try to use SR outside of its proper domain of validity.
Well, then maybe we agree. The proper interpretation of "relativity" and the domain of SR is severely restricted by the
success of GR in its modern incarnation as a theory of gravitation.
The clock paradox arises from taking 1905 SR, with its fundamental kinematical reciprocity, too seriously.
No, even in SR one can compare proper lengths of bundles of world lines with same start and finish events. It's calculus of variations. Timelike geodesics obey the action extremal principle for massive test particles even in global SR and there is no clock paradox no kinematical reciprocity at all once the problem is properly posed!
Our universe has a Hubble flow in which absolute velocity and absolute global cosmic time are practically and usefully defined in terms of the cosmic black body radiation isotropy and temperature respectively.
I'm talking about *local* equivalence.
So am I. I can measure CMB anisotropy and temperature LOCALLY! Distant observers can compare their local data and agree who is where-when in the Hubble flow of the expanding accelerating universe for interstellar navigation exactly like the British Navy did on the high seas with their clocks.
So you have no fundamental objection to the idea of a preferred frame of reference?
The Hubble flow is a fact. You cannot argue with facts. Look at WMAP for example. The Earth's motion relative to Hubble flow is corrected for in the analysis of the data to get isotropy to order 10^-5. These are facts! The facts have meaning in context of
Guv + /\guv = (8piG/c^4)Tuv eq. I
and the FRW isometries for the metric SOLUTION of eq. I with scale factor R(t) where you can think of t as h/kT(Cosmic Black Body Radiation).
Or do you object to the idea of a preferred frame only with respect to inertial motion?
I do not understand your question. Make it operational. It is hanging there in limbo without context.
This is no different from fact that non-spherically symmetric ferromagnets exist even though their Hamiltonians are spherically symmetric. The particular solutions do not share the symmetries of the dynamics!
Of course.
But I am arguing that the *laws* of GR, while formally general covariant, do not
admit of the literal annihilation of the gravitational field *anywhere* in an LIF.
Red Herring as I show above. This is not important.
That is
a very different issue. It has nothing to do with particular solutions of the laws --
except in the trivial sense that you need a matter distribution in order to get physical
gravity.
Too crude. "Matter" is only at most 4% of the stuff of the World (AKA Universe) 96% is zero point energy density with both positive and negative quantum exotic vacuum pressures in different 4D regions and on different scales.
Given a matter distribution, this "no-annihilation" principle applies to all physical solutions
of the field equations.
?
Not all atomic electron states of hydrogen are S states!
Of course.
In particular, when the ground state of a complex system does not share all the symmetries of its dynamical action we say the symmetry is spontaneously broken. This same thing happens with the cosmology of our universe! This is common indeed ubiquitous! Read PW Anderson's "More is different" and other papers in his "A Career in Theoretical Physics" (World Scientific) - worth buying.
Yup.
Ruvwl(P) = Eu^a(P)Ev^b(P)Ew^c(P)El^d(P)Rabcd(P)
Curvature is a local field measurable in principle in the LIF.
OK.
E's are the tetrad components, i.e. local fields
In globally flat space-time the E's are Kronecker deltas &au^a, distinction between a's and u's disappears - degenerate limit
e'u(P) = Eu^a(P)ea
[e0, e1,e2,e3] is basis for a LIF at P
[e'0,e'1,e'2,e'3] is basis for a "coincident" LNIF at P
OK.
INTRINSICALLY
e'u(P) = ea&u^a + Lp*^2(Macro-Quantum Coherent Vacuum Phase),u (NEW to my theory
,u is ordinary partial derivative
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)] = Eu^a(P)nab(Minkowski)Ev^b(P)
So far all this is for usual torsion-free connection.
So your "curvature field" is directly determined by the coordinate derivatives of the macroquantum
phase of your virtual BEC?
Note let a,b be LIF indices and u,v be LNIF indices both in small neighborhood of same local event P
Yes, of course. I have been saying this over and over and it's in my two books from late 2002.
OK, that's what I thought.
This is the elastic analog to Bohm's hydrodynamic constraint of IT by quBIT in
velocity of IT particle = (hbar/m)Gradient of phase of quBIT pilot waved)
I replace the quantum of circulation (AKA vorticity flux) hbar/m in 3D by the "Quantum of Area" in the 4D elastic world crystal lattice picture of Hagen Kleinert from Free University of Berlin.
The LIF ea with zero partial derivatives have dimensions of length in above formulae and guv is dimensionless.
OK.
If so, this looks like a flat-background quantum field model with a correspondence bridge to
"curved" Einstein g_uv.
Only FORMALLY not PHYSICALLY - important you make that distinction!
NOT OK. Here you lose me.
How exactly does this work?
I explained that in detail below.
That is, there is no assumption of perturbation theory here.
In
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)]
In no sense do I assume
nuv(Minkowski) >> (1/2)[e'u,v(P) + e'v,u(P)]
The way Feynman does in his Lectures on Gravity using spin 2 quantum field on Poincare symmetry group background vacuum.
I am not doing that at all!
Of course here I didn't mean that you are taking a direct perturbative QFT approach. I didn't mean that
at all.
What I meant is that like Feynman, your underlying micro-theory is naturally premised on a flat background, and that
"spacetime curvature" would then emerge (by correspondence) from the physical characteristics of your *macro*-
quantum field.
Not quite. What you do not get is that the NONDYNAMICAL globally flat Minkowski background is a PRE-INFLATIONARY FALSE VACUUM like the state of a normal metal in a supercooled state below the critical temperature! Einstein's smooth curved c-number guv is an EMERGENT POST-INFLATIONARY DYNAMICAL SELF-ORGANIZING background on which residual micro-quantum fields of spin 1 and spin 1/2 live. Since spin 2 is not renormalizable I am not sure if there is any quantum foam at all! EINSTEIN NASA space probe has failed to find any evidence for quantum foam graininess of space-time in high energy gamma signals from early universe and Freeman Dyson argues that quantum foam may not exist at all! My theory is comfortable with the complete absence of quantum gravity foam! It may be that the only micro-quantum ZPF in the /\zpf field comes from renormalizable spin 1/2 and spin 1 fields, but I am not sure yet.
Also these are SMOOTH MACRO-QUANTUM ODLRO functions. There will be a micro-quantum normal fluid spin 2 tensor quantum field on this smooth curved space-time background of course along with all the spin 1/2 and spin 1 quantum fields ALL together contribute to /\zpf!
OK, I understood this already.
But my theory is automatically BACKGROUND-INDEPENDENT
OK, this I didn't know.
That means c-number guv emerges in a dynamical self-organizing way from the git-go in the inflationary vacuum phase transition from a pre-inflationary non-dynamical globally flat false vacuum to a post-inflationary dynamical locally curved true vacuum.
It follows immediately that it is at least *compatible* with a flat background spacetime.
NO not at all anymore than a superconducting ground state is compatible with a normal metal ground state below Tc. I do not know what you mean by "compatible"?
So in your theory the phenomenological physics of the macro-quantum field comes out the same
regardless of the curvature of the spacetime in which the theory of the underlying
quantum field is formulated?
NO! You don't get it. The false vacuum is globally flat. It is completely micro-quantum. It cannot support massive excitations. All m = 0. There is NO GRAVITY at all in this pre-inflationary vacuum! Gravity emerges post-inflation as an artifact of the self-organizing macro-quantum vacuum wave! Only now can you have m =/= 0 lepto-quarks and W bosons since gravity is equivalent to inertia. The curvature of the dynamical (AKA background-independent) spacetime is emergent from the modulations of the phase of the coherent macro-quantum vacuum wave!
That's interesting.
So are you saying that your underlying *micro* quantum field need not be based on a
flat spacetime QFT?
WRONG! I have said exactly the opposite. You seem to be inverting what I am saying.
and NON-PERTURBATIVE
Yes, I realize this.
Very important.
since guv(P) is a dynamical field from the beginning determined globally self-consistently in a self-organizing manner!
Then I would have thought your attitude to the geometric model would be very similar to
Feynman's -- even though you are not taking the same direct perturbative spin-2 QFT approach.
Quantizing the spin 2 field seems to imply quantum foam. All the evidence so far is that there is no quantum foam. In any case if you do quantize the spin 2 field you do it post-inflation on my smooth ODLRO guv emergent curved metric that is dynamical AKA "background independent" not like Feynman's attempt.
As I understand it, your model still ultimately a QFT.
Are you really thinking of a micro-quantum field in curved spacetime? Or are you just saying you
don't need to take a position on this issue in order to do quantum gravity?
You are still very confused on what I am saying.
I am saying
PRE-INFLATION GLOBALLY FLAT FALSE NONDYNAMICAL VACUUM only m = 0 quasi-particles of spin 1/2 & spin 1 i.e. only renormalizable quantum fields.
POST-INFLATION LOCALLY CURVED TRUE DYNAMICAL VACUUM with now m=/= 0 lepto-quarks - perhaps no spin 2 quantum fields even here. Need more experiments. Quantum foam may not exist at all. Gravitons may not exist at all. That is only quanta of renormalizable fields may be allowed. It's too early to say. Read Freeman Dyson on this!
at least might explain, the exact proportionality of inertial and gravitational mass?
Yes.
I'm curious: What in your model causes mechanical inertia? And what in your model explains, or
Exactly same as John Wheeler explains "Mass without mass" in his classic book "Geometrodynamics" with new feature Lp* ~ 10^20Lp on scale of 1 fermi to make the spatially-extended quasi Kerr-Newman micro-geons of the lepto-quarks out of exotic vacuum with "charges" as quantized vortex trapped flux fields not only U(1) but also SU(2) and SU(3).
OK.
The lepto-quark masses m ~ Vacuum Coherence consistent with Higgs mechanism - not Haisch's & Puthoff's random EM ZPF friction.
~ 1 Mev for first generation that dominates Omega(Matter) ~ 0.04 where total Omega = 1 the remaining 0.96 is ALL w = -1 ZPF exotic vacuum! Hence dark matter detectors silent in principle sans false positives.
Then use QCD Lite bag model (Frank Wilczek) to get hadronic masses M ~ 1Gev from lepto-quarks glued together again by /\zpf in a cascade process.
OK, so does this *naturally* give you Eotvos equivalence when combined with your macro-quantum field model of
gravitation?
Of course.
Z.
I have not proved consistency as yet. This is all heuristics based on my physical picture.
OK.
Z.
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
Jack Sarfatti wrote:
I think the cutoff is much larger than Planck distance at scale 1 fermi in fact it is 1 fermi on scale of 1 fermi
i.e. Lp* = 10^20Lp on scale of 1 fermi to stabilize electron as an extended micro-geon.
On Jul 2, 2004, at 7:36 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
On Jul 2, 2004, at 12:19 AM, Paul Zielinski wrote:
I was under the impression that there is a class of v^3 ZPE
density distributions that are Lorentz invariant?
Yes, that's what I am alluding to below. However, that does not have a finite cut-off in it, which is the problem.
The nitpicking point I first raised here is really not relevant to the main issue,
which is what happens to LI when the emptically confirmed v^3 ZPE spectrum
(which I suppose is actually a v^2 density distribution) is truncated at the Planck
scale.
Everyone here (except perhaps TS) says that this would destroy exact LI.
Puthoff seems to be saying that such a cutoff would nevertheless not have currently
observable consequences, while Ibison is not so sure.
What do you think?
Z.
I say it will have observable consequences that should be looked for in angular correlations in Lambshift radiation for example.
Sunday, July 04, 2004
From: sarfatti@pacbell.net
Subject: Cherenkov cone from Black EVOs? & v >> c Superluminal Warp Drive
Date: July 4, 2004 2:32:34 PM PDT
To: ItalianPhysicsCenter@YahooGroups.com
Cc: SarfattiScienceSeminars@yahoogroups.com, Sarfatti_Physics_Seminars@yahoogroups.com
On Jul 4, 2004, at 2:21 PM, Ken Shoulders wrote:
Jack
One more once.
In the paper I put on the web called "Charge Clusters in Action", there is an experiment shown that produces a very strange spot of intense light that I had the nerve to suggest was a Cherenkov effect caused by a sudden reversal of the EVO direction of travel due to impedance mismatch and "sloshing" of the material it carried. The peculiarity of this light source, as recorded on photographic film, was that it was localized in space as a spherical source with a dimension of only about 5 micrometers in diameter. This could actually be the Cherenkov radiation you have alluded to.
Ken
-------- Original Message --------
Subject:
Re: Ken Shoulders Black EVOs & v >> c Superluminal Warp Drive
Date:
Sun, 04 Jul 2004 14:09:47 -0700
From:
Ken Shoulders
To:
Jack Sarfatti
Jack
The cone could be there but is likely hard to detect as an optical
effect in the apparatus used for recording which only responds to
electrons, ions and x-rays. The visible light stuff is only seen with
the unaided eye and is likely lost in all the other confusion going on.
Too bad! Next time around.
Thanks for your notions. They help a lot.
Ken
On Jul 4, 2004, at 1:45 PM, Jack Sarfatti wrote:
PS if the EVO is "black" because of v > c then there should be a Cherenkov cone effect.
http://www.fact-index.com/c/ch/cherenkov_effect.html
On Jul 4, 2004, at 1:40 PM, Jack Sarfatti wrote:
re: http://qedcorp.com/destiny/warpdrive.pdf
On Jul 4, 2004, at 12:11 PM, Ken Shoulders wrote:
Jack
In the last paragraph of my note, you did not comment on your feelings for the black EV mode apparently exceeding the speed of light by a whole bunch. How can this observation be either corrected or rationalized?
I did not realize you meant v >> c.
That is NOT a problem. That is EXACTLY what we should see IF we are seeing a real ZPF warp drive effect in the EVOs?
The v >> c is already in Alcubierre's paper and is well known.
The point is locally v = 0 in the sense that the EVO is locally on a timelike geodesic - it's only to us outside observers that the effective v >> c.
That's because if the mesoscopic EVO is moving to the right on this screen, the blue-shifting /\zpf > 0 "dark energy" has negative quantum pressure that EXPANDS the 3D space at the back of the EVO and the red-shifting /\zpf < 0 "dark matter" has positive quantum pressure that CONTRACTS the 3D space at the front of the EVO.
Subject: Cherenkov cone from Black EVOs? & v >> c Superluminal Warp Drive
Date: July 4, 2004 2:32:34 PM PDT
To: ItalianPhysicsCenter@YahooGroups.com
Cc: SarfattiScienceSeminars@yahoogroups.com, Sarfatti_Physics_Seminars@yahoogroups.com
On Jul 4, 2004, at 2:21 PM, Ken Shoulders wrote:
Jack
One more once.
In the paper I put on the web called "Charge Clusters in Action", there is an experiment shown that produces a very strange spot of intense light that I had the nerve to suggest was a Cherenkov effect caused by a sudden reversal of the EVO direction of travel due to impedance mismatch and "sloshing" of the material it carried. The peculiarity of this light source, as recorded on photographic film, was that it was localized in space as a spherical source with a dimension of only about 5 micrometers in diameter. This could actually be the Cherenkov radiation you have alluded to.
Ken
-------- Original Message --------
Subject:
Re: Ken Shoulders Black EVOs & v >> c Superluminal Warp Drive
Date:
Sun, 04 Jul 2004 14:09:47 -0700
From:
Ken Shoulders
To:
Jack Sarfatti
Jack
The cone could be there but is likely hard to detect as an optical
effect in the apparatus used for recording which only responds to
electrons, ions and x-rays. The visible light stuff is only seen with
the unaided eye and is likely lost in all the other confusion going on.
Too bad! Next time around.
Thanks for your notions. They help a lot.
Ken
On Jul 4, 2004, at 1:45 PM, Jack Sarfatti wrote:
PS if the EVO is "black" because of v > c then there should be a Cherenkov cone effect.
http://www.fact-index.com/c/ch/cherenkov_effect.html
On Jul 4, 2004, at 1:40 PM, Jack Sarfatti wrote:
re: http://qedcorp.com/destiny/warpdrive.pdf
On Jul 4, 2004, at 12:11 PM, Ken Shoulders wrote:
Jack
In the last paragraph of my note, you did not comment on your feelings for the black EV mode apparently exceeding the speed of light by a whole bunch. How can this observation be either corrected or rationalized?
I did not realize you meant v >> c.
That is NOT a problem. That is EXACTLY what we should see IF we are seeing a real ZPF warp drive effect in the EVOs?
The v >> c is already in Alcubierre's paper and is well known.
The point is locally v = 0 in the sense that the EVO is locally on a timelike geodesic - it's only to us outside observers that the effective v >> c.
That's because if the mesoscopic EVO is moving to the right on this screen, the blue-shifting /\zpf > 0 "dark energy" has negative quantum pressure that EXPANDS the 3D space at the back of the EVO and the red-shifting /\zpf < 0 "dark matter" has positive quantum pressure that CONTRACTS the 3D space at the front of the EVO.
On Jul 3, 2004, at 8:33 PM, Paul Zielinski wrote:
Everyone agrees that the laws of GR are formally covariant under
general coordinate transformations -- or under the group Diff(4)
of point set diffeomorphisms on a 4-dim pseudo-Riemannian manifold
(which is subtly different).
But this is not enough to give us *actual physical relativity*
with respect to accelerated motion.
The reversible tetrad map LNIF(P) <---> LIF(P) does that
i.e.
guv(LNIF at P) = Eu^a(P)(Minkowski)ab(LIF)Ev^b(P)
After all, in classical mechanics Newton's second law F = ma also
holds *formally* in non-inertial frames; but this cannot amount to
true relativity with respect to such frames, since the observed
forces are regarded as "fictitious" -- i.e., only apparent, a
kinematical artifact.
Bad use of language since we feel and measure fictitious forces same as gravity!
So whether we do or do not have physical relativity depends not only
on the formal symmetries of the theory, but also on the *physical
interpretation* of the covariant laws.
Einstein's original approach was to interpret such "fictitious"
forces as real, based on his concept of the unified gravito-inertial
field, described by the transformable/deformable metric tensor g_uv.
This was at the core of his original concept of general relativity, as
I have previously argued.
Still true today.
Einstein himself explained this very clearly in his earlier papers
and in several books on relativity. I have all the quotes.
If Einstein's math is interpreted differently -- as some have
proposed -- then we lose physical general relativity, even while the
formal general covariant character of the laws is left undisturbed.
Again I do not think these gyrations of the informal language that leave the formal equations alone and do not change any operational procedures and gedankenexperiments are important scientifically - at best a matter of psychology and cognitive style.
So general covariance is not the same as Einsteinian "general relativity".
Never said it was. It is necessary not sufficient. Puthoff seems to say in PV it is NOT necessary - an error.
As I understand it, the current consensus in gravitational physics is
indeed in favor of a NON-"general relativistic" interpretation of the
formal theory.
Show me with exact quotes.
If I am confused on this, then so are most contemporary gravitational
physicists. Even Wheeler writes that "'general relativity' is the name
Einstein gave to his theory of gravitation". Weinberg and Feynman,
to name just two others, thought that Einstein equivalence is a red
herring -- a mere heuristic tool that happened to lead to the current
theory, but not now part of the correct interpretation of that theory.
I have not read Weinberg on this. I do not read Feynman that way. Cite specifics.
If there is no "general relativity", then there is in reality no physical
relativity, except in some weak phenomenological sense (which latter,
ironically, was Einstein's original 1905 view of SR as a: theory of
principle").
The "beef" of GR is the TENSOR eq (under Diff(4) globally and O(3,1) locally)
Guv + /\zpfguv = - (8piG/c^4)Tuv("matter")
Therefore, I simply do not understand what you are saying.
Einstein pretty much implied all this himself: he viewed
his proposed extended relativity principle as a natural development of
his special relativity principle to encompass accelerated motion.
Right. That's the way I understand it.
If you only include observers in uniform relative motion and assume invariance of c under that limited group of transformations including global translations as well as all 6 space-time rotations you get 1905 SR. SR means do NOT locally gauge the Poincare group! It means do not locally gauge any space-time symmetry group under the constraint that the speed of light in vacuum is an absolute invariant. That c is an absolute invariant does NOT imply it is an upper speed limit to anything. To get that, one must make something like an Arrow of Time additional postulate that future causes of past effects is impossible. That is an entirely different story beyond relativity as simply a symmetry theory of space-time.
If you include COINCIDENT observers at SAME event P (i.e. in tiny ball centered at P) in arbitrary relative motion then you get GR(1916) relative to that choice of connection field that comes from ONLY locally gauging the 4-parameter translation sub-group T4 of the 10-parameter Poincare group.
Now, Einstein did NOT historically derive GR that way because the modern understanding of the organizing idea of "local gauge invariance" did not exist until after he died.
If further, you locally gauge the 6-parameter Lorentz group O(1,3) you get an additional torsion field piece to the connection field for parallel transport of tensors (and spinors using Penrose-Newman) along vector fields in the base space. You now have a larger local symmetry group than GR's 1916 Diff(4)xO(1,3). If you go even further and locally gauge the full 15-parameter conformal group, or even the 16-parameter GL(4,R) you will get even a bigger connection field with new physical consequences to be explored.
But it now looks like this aspect of his program was not successful.
I think it has been extraordinarily successful.
Of course, the term "general relativity" has in the meantime been quietly
redefined to mean something quite different: the reciprocal influence of
gravitating matter on the vacuum, and vice versa.
I thought Einstein always thought of it that way - I mean from at least ~ 1916 on? I am not up on the detailed history of how his thought evolved. What he may have said between 1905 - 1916 is not really relevant.
Even Einstein abandoned "Mach's principle" (really a hypothesis) by 1920,
since it clearly entails instantaneous action at a distance in order to
explain inertial phenomena -- which of course leads us to a very different
view of inertia as arising locally from a matter-vacuum interaction.
Agreed, Mach's principle is not a necessary part of GR even though it heuristically motivated Einstein. Also the recent discovery that 96% of the stuff of the universe is not "matter" as Mach and Einstein thought of it means that the whole idea of Mach's Principle rests on very shaky ground and must be re-evaluated in the light of new surprising observations.
The ghost of the departed Lorentzian ether. Quite a different kettle of
fish.
Paul
"Ether" is back in, although not the old Galilean group version. "Ether" like "tensor", "spinor", "connection" are all relative terms defined relative to a choice of symmetry group G.
P.S. I have been revisiting SR, and I think I now may have a bulletproof
version of the clock paradox that I'd like you and Hal to take a look at.
Would you be willing to do that?
Depends what you mean by "clock paradox" - time dilation is a proven fact in many experiments.
I know this must sound like a crank perpetual motion thesis -- but I'm
serious.
Jack Sarfatti wrote:
General coordinate transformations handle all - so I do not understand what you mean.
I think you are confused here.
True, given any symmetry group G you can make the laws covariant under G.
GR deals with a special choice G = Diff(4).
Diff(4) handles LNIF --> LNIF'
Also it includes EEP tetrads LNIF <---> LIF
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
On Jul 3, 2004, at 9:07 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
The general principle includes the special principle.
Only if the special principle is re-interpreted *ad hoc* to bring it in line with the general principle as currently
interpreted.
OK - what's wrong with that?
Jack, here you are disagreeing not just with me, but with most contemporary authors.
This is all explained in Ohanian & Ruffini, "Spacetime and Gravitation", which I believe you have.
What pages specifically?
Who now actually believes with Einstein 1907-1916 that physical gravitation is simply a form of variable frame
acceleration controlled by the distribution of matter?
I do if you change "simply" to "essentially" and if you change "matter" to "matter and exotic vacua."
Do you?
Of course.
When curvature is zero everywhere when special relativity works globally, i.e. there exist global inertial frames GIF
OK.
When there is curvature the special principle works locally subject to the 2 restrictions I mentioned previously.
In general, only at a spacetime point.
More precisely in a neighborhood of space-time point P of scale L small compared to scale of local radii of curvature. Since the latter at surface of Earth is ~ 1AU that is not much of a restriction on L for terrestrial measurements.
Also L >> Lp* which is usually taken as 10^-33 cm though it may be larger.
What this means is that the predictions of SR in an LIF are *empirically compatible* with those of GR when the
LIF is contracted to a point.
No to a "ball" and here at Earth it can be a pretty big ball. You need to put this "point" thing into proper perspective with numbers.
Where there is non-zero Riemann curvature (i.e. gravity) in any finite volume of spacetime,
they are only approximately compatible.
As explained in detail in MTW for example. Obviously the 4th rank curvature tensor is NOT generally zero and that includes LIFs as well as LNIFs - but its practical effects on surface of Earth are very tiny and for a majority of practical purposes are ignorable.
Of course this does not mean that even in such a contracted LIF the predictions of SR *match* those of SR -- they
are only a subset. For example, SR makes no predictions regarding tidal forces, even if we extend SR to handle
accelerated frames. Yet according to modern GR, tidal effects may be empirically detectable everywhere in an LIF.
What's your point? It is trivial that SR is a sub-theory of GR and that SR needs GR corrections if one does precise enough measurements. All covering theories transcend the theories they cover. All this confusion about "aether" for example is because people try to use SR outside of its proper domain of validity. Our universe has a Hubble flow in which absolute velocity and absolute global cosmic time are practically and usefully defined in terms of the cosmic black body radiation isotropy and temperature respectively. This is no different from fact that non-spherically symmetric ferromagnets exist even though their Hamiltonians are spherically symmetric. The particular solutions do not share the symmetries of the dynamics! Not all atomic electron states of hydrogen are S states! In particular, when the ground state of a complex system does not share all the symmetries of its dynamical action we say the symmetry is spontaneously broken. This same thing happens with the cosmology of our universe! This is common indeed ubiquitous! Read PW Anderson's "More is different" and other papers in his "A Career in Theoretical Physics" (World Scientific) - worth buying.
Note let a,b be LIF indices and u,v be LNIF indices both in small neighborhood of same local event P
Ruvwl(P) = Eu^a(P)Ev^b(P)Ew^c(P)El^d(P)Rabcd(P)
Curvature is a local field measurable in principle in the LIF.
OK.
E's are the tetrad components, i.e. local fields
In globally flat space-time the E's are Kronecker deltas &au^a, distinction between a's and u's disappears - degenerate limit
e'u(P) = Eu^a(P)ea
[e0, e1,e2,e3] is basis for a LIF at P
[e'0,e'1,e'2,e'3] is basis for a "coincident" LNIF at P
OK.
INTRINSICALLY
e'u(P) = ea&u^a + Lp*^2(Macro-Quantum Coherent Vacuum Phase),u (NEW to my theory
,u is ordinary partial derivative
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)] = Eu^a(P)nab(Minkowski)Ev^b(P)
So far all this is for usual torsion-free connection.
So your "curvature field" is directly determined by the coordinate derivatives of the macroquantum
phase of your virtual BEC?
Yes, of course. I have been saying this over and over and it's in my two books from late 2002.
This is the elastic analog to Bohm's hydrodynamic constraint of IT by quBIT in
velocity of IT particle = (hbar/m)Gradient of phase of quBIT pilot waved)
I replace the quantum of circulation (AKA vorticity flux) hbar/m in 3D by the "Quantum of Area" in the 4D elastic world crystal lattice picture of Hagen Kleinert from Free University of Berlin.
The LIF ea with zero partial derivatives have dimensions of length in above formulae and guv is dimensionless.
If so, this looks like a flat-background quantum field model with a correspondence bridge to
"curved" Einstein g_uv.
Only FORMALLY not PHYSICALLY - important you make that distinction!
That is, there is no assumption of perturbation theory here.
In
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)]
In no sense do I assume
nuv(Minkowski) >> (1/2)[e'u,v(P) + e'v,u(P)]
The way Feynman does in his Lectures on Gravity using spin 2 quantum field on Poincare symmetry group background vacuum.
I am not doing that at all! Also these are SMOOTH MACRO-QUANTUM ODLRO functions. There will be a micro-quantum normal fluid spin 2 tensor quantum field on this smooth curved space-time background of course along with all the spin 1/2 and spin 1 quantum fields ALL together contribute to /\zpf!
But my theory is automatically BACKGROUND-INDEPENDENT and NON-PERTURBATIVE since guv(P) is a dynamical field from the beginning determined globally self-consistently in a self-organizing manner!
I'm curious: What in your model causes mechanical inertia? And what in your model explains, or
at least might explain, the exact proportionality of inertial and gravitational mass?
Exactly same as John Wheeler explains "Mass without mass" in his classic book "Geometrodynamics" with new feature Lp* ~ 10^20Lp on scale of 1 fermi to make the spatially-extended quasi Kerr-Newman micro-geons of the lepto-quarks out of exotic vacuum with "charges" as quantized vortex trapped flux fields not only U(1) but also SU(2) and SU(3).
The lepto-quark masses m ~ Vacuum Coherence consistent with Higgs mechanism - not Haisch's & Puthoff's random EM ZPF friction.
~ 1 Mev for first generation that dominates Omega(Matter) ~ 0.04 where total Omega = 1 the remaining 0.96 is ALL w = -1 ZPF exotic vacuum! Hence dark matter detectors silent in principle sans false positives.
Then use QCD Lite bag model (Frank Wilczek) to get hadronic masses M ~ 1Gev from lepto-quarks glued together again by /\zpf in a cascade process.
I have not proved consistency as yet. This is all heuristics based on my physical picture.
OK.
Z.
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
Jack Sarfatti wrote:
I think the cutoff is much larger than Planck distance at scale 1 fermi in fact it is 1 fermi on scale of 1 fermi
i.e. Lp* = 10^20Lp on scale of 1 fermi to stabilize electron as an extended micro-geon.
On Jul 2, 2004, at 7:36 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
On Jul 2, 2004, at 12:19 AM, Paul Zielinski wrote:
I was under the impression that there is a class of v^3 ZPE
density distributions that are Lorentz invariant?
Yes, that's what I am alluding to below. However, that does not have a finite cut-off in it, which is the problem.
The nitpicking point I first raised here is really not relevant to the main issue,
which is what happens to LI when the emptically confirmed v^3 ZPE spectrum
(which I suppose is actually a v^2 density distribution) is truncated at the Planck
scale.
Everyone here (except perhaps TS) says that this would destroy exact LI.
Puthoff seems to be saying that such a cutoff would nevertheless not have currently
observable consequences, while Ibison is not so sure.
What do you think?
Z.
I say it will have observable consequences that should be looked for in angular correlations in Lambshift radiation for example.
Everyone agrees that the laws of GR are formally covariant under
general coordinate transformations -- or under the group Diff(4)
of point set diffeomorphisms on a 4-dim pseudo-Riemannian manifold
(which is subtly different).
But this is not enough to give us *actual physical relativity*
with respect to accelerated motion.
The reversible tetrad map LNIF(P) <---> LIF(P) does that
i.e.
guv(LNIF at P) = Eu^a(P)(Minkowski)ab(LIF)Ev^b(P)
After all, in classical mechanics Newton's second law F = ma also
holds *formally* in non-inertial frames; but this cannot amount to
true relativity with respect to such frames, since the observed
forces are regarded as "fictitious" -- i.e., only apparent, a
kinematical artifact.
Bad use of language since we feel and measure fictitious forces same as gravity!
So whether we do or do not have physical relativity depends not only
on the formal symmetries of the theory, but also on the *physical
interpretation* of the covariant laws.
Einstein's original approach was to interpret such "fictitious"
forces as real, based on his concept of the unified gravito-inertial
field, described by the transformable/deformable metric tensor g_uv.
This was at the core of his original concept of general relativity, as
I have previously argued.
Still true today.
Einstein himself explained this very clearly in his earlier papers
and in several books on relativity. I have all the quotes.
If Einstein's math is interpreted differently -- as some have
proposed -- then we lose physical general relativity, even while the
formal general covariant character of the laws is left undisturbed.
Again I do not think these gyrations of the informal language that leave the formal equations alone and do not change any operational procedures and gedankenexperiments are important scientifically - at best a matter of psychology and cognitive style.
So general covariance is not the same as Einsteinian "general relativity".
Never said it was. It is necessary not sufficient. Puthoff seems to say in PV it is NOT necessary - an error.
As I understand it, the current consensus in gravitational physics is
indeed in favor of a NON-"general relativistic" interpretation of the
formal theory.
Show me with exact quotes.
If I am confused on this, then so are most contemporary gravitational
physicists. Even Wheeler writes that "'general relativity' is the name
Einstein gave to his theory of gravitation". Weinberg and Feynman,
to name just two others, thought that Einstein equivalence is a red
herring -- a mere heuristic tool that happened to lead to the current
theory, but not now part of the correct interpretation of that theory.
I have not read Weinberg on this. I do not read Feynman that way. Cite specifics.
If there is no "general relativity", then there is in reality no physical
relativity, except in some weak phenomenological sense (which latter,
ironically, was Einstein's original 1905 view of SR as a: theory of
principle").
The "beef" of GR is the TENSOR eq (under Diff(4) globally and O(3,1) locally)
Guv + /\zpfguv = - (8piG/c^4)Tuv("matter")
Therefore, I simply do not understand what you are saying.
Einstein pretty much implied all this himself: he viewed
his proposed extended relativity principle as a natural development of
his special relativity principle to encompass accelerated motion.
Right. That's the way I understand it.
If you only include observers in uniform relative motion and assume invariance of c under that limited group of transformations including global translations as well as all 6 space-time rotations you get 1905 SR. SR means do NOT locally gauge the Poincare group! It means do not locally gauge any space-time symmetry group under the constraint that the speed of light in vacuum is an absolute invariant. That c is an absolute invariant does NOT imply it is an upper speed limit to anything. To get that, one must make something like an Arrow of Time additional postulate that future causes of past effects is impossible. That is an entirely different story beyond relativity as simply a symmetry theory of space-time.
If you include COINCIDENT observers at SAME event P (i.e. in tiny ball centered at P) in arbitrary relative motion then you get GR(1916) relative to that choice of connection field that comes from ONLY locally gauging the 4-parameter translation sub-group T4 of the 10-parameter Poincare group.
Now, Einstein did NOT historically derive GR that way because the modern understanding of the organizing idea of "local gauge invariance" did not exist until after he died.
If further, you locally gauge the 6-parameter Lorentz group O(1,3) you get an additional torsion field piece to the connection field for parallel transport of tensors (and spinors using Penrose-Newman) along vector fields in the base space. You now have a larger local symmetry group than GR's 1916 Diff(4)xO(1,3). If you go even further and locally gauge the full 15-parameter conformal group, or even the 16-parameter GL(4,R) you will get even a bigger connection field with new physical consequences to be explored.
But it now looks like this aspect of his program was not successful.
I think it has been extraordinarily successful.
Of course, the term "general relativity" has in the meantime been quietly
redefined to mean something quite different: the reciprocal influence of
gravitating matter on the vacuum, and vice versa.
I thought Einstein always thought of it that way - I mean from at least ~ 1916 on? I am not up on the detailed history of how his thought evolved. What he may have said between 1905 - 1916 is not really relevant.
Even Einstein abandoned "Mach's principle" (really a hypothesis) by 1920,
since it clearly entails instantaneous action at a distance in order to
explain inertial phenomena -- which of course leads us to a very different
view of inertia as arising locally from a matter-vacuum interaction.
Agreed, Mach's principle is not a necessary part of GR even though it heuristically motivated Einstein. Also the recent discovery that 96% of the stuff of the universe is not "matter" as Mach and Einstein thought of it means that the whole idea of Mach's Principle rests on very shaky ground and must be re-evaluated in the light of new surprising observations.
The ghost of the departed Lorentzian ether. Quite a different kettle of
fish.
Paul
"Ether" is back in, although not the old Galilean group version. "Ether" like "tensor", "spinor", "connection" are all relative terms defined relative to a choice of symmetry group G.
P.S. I have been revisiting SR, and I think I now may have a bulletproof
version of the clock paradox that I'd like you and Hal to take a look at.
Would you be willing to do that?
Depends what you mean by "clock paradox" - time dilation is a proven fact in many experiments.
I know this must sound like a crank perpetual motion thesis -- but I'm
serious.
Jack Sarfatti wrote:
General coordinate transformations handle all - so I do not understand what you mean.
I think you are confused here.
True, given any symmetry group G you can make the laws covariant under G.
GR deals with a special choice G = Diff(4).
Diff(4) handles LNIF --> LNIF'
Also it includes EEP tetrads LNIF <---> LIF
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
On Jul 3, 2004, at 9:07 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
The general principle includes the special principle.
Only if the special principle is re-interpreted *ad hoc* to bring it in line with the general principle as currently
interpreted.
OK - what's wrong with that?
Jack, here you are disagreeing not just with me, but with most contemporary authors.
This is all explained in Ohanian & Ruffini, "Spacetime and Gravitation", which I believe you have.
What pages specifically?
Who now actually believes with Einstein 1907-1916 that physical gravitation is simply a form of variable frame
acceleration controlled by the distribution of matter?
I do if you change "simply" to "essentially" and if you change "matter" to "matter and exotic vacua."
Do you?
Of course.
When curvature is zero everywhere when special relativity works globally, i.e. there exist global inertial frames GIF
OK.
When there is curvature the special principle works locally subject to the 2 restrictions I mentioned previously.
In general, only at a spacetime point.
More precisely in a neighborhood of space-time point P of scale L small compared to scale of local radii of curvature. Since the latter at surface of Earth is ~ 1AU that is not much of a restriction on L for terrestrial measurements.
Also L >> Lp* which is usually taken as 10^-33 cm though it may be larger.
What this means is that the predictions of SR in an LIF are *empirically compatible* with those of GR when the
LIF is contracted to a point.
No to a "ball" and here at Earth it can be a pretty big ball. You need to put this "point" thing into proper perspective with numbers.
Where there is non-zero Riemann curvature (i.e. gravity) in any finite volume of spacetime,
they are only approximately compatible.
As explained in detail in MTW for example. Obviously the 4th rank curvature tensor is NOT generally zero and that includes LIFs as well as LNIFs - but its practical effects on surface of Earth are very tiny and for a majority of practical purposes are ignorable.
Of course this does not mean that even in such a contracted LIF the predictions of SR *match* those of SR -- they
are only a subset. For example, SR makes no predictions regarding tidal forces, even if we extend SR to handle
accelerated frames. Yet according to modern GR, tidal effects may be empirically detectable everywhere in an LIF.
What's your point? It is trivial that SR is a sub-theory of GR and that SR needs GR corrections if one does precise enough measurements. All covering theories transcend the theories they cover. All this confusion about "aether" for example is because people try to use SR outside of its proper domain of validity. Our universe has a Hubble flow in which absolute velocity and absolute global cosmic time are practically and usefully defined in terms of the cosmic black body radiation isotropy and temperature respectively. This is no different from fact that non-spherically symmetric ferromagnets exist even though their Hamiltonians are spherically symmetric. The particular solutions do not share the symmetries of the dynamics! Not all atomic electron states of hydrogen are S states! In particular, when the ground state of a complex system does not share all the symmetries of its dynamical action we say the symmetry is spontaneously broken. This same thing happens with the cosmology of our universe! This is common indeed ubiquitous! Read PW Anderson's "More is different" and other papers in his "A Career in Theoretical Physics" (World Scientific) - worth buying.
Note let a,b be LIF indices and u,v be LNIF indices both in small neighborhood of same local event P
Ruvwl(P) = Eu^a(P)Ev^b(P)Ew^c(P)El^d(P)Rabcd(P)
Curvature is a local field measurable in principle in the LIF.
OK.
E's are the tetrad components, i.e. local fields
In globally flat space-time the E's are Kronecker deltas &au^a, distinction between a's and u's disappears - degenerate limit
e'u(P) = Eu^a(P)ea
[e0, e1,e2,e3] is basis for a LIF at P
[e'0,e'1,e'2,e'3] is basis for a "coincident" LNIF at P
OK.
INTRINSICALLY
e'u(P) = ea&u^a + Lp*^2(Macro-Quantum Coherent Vacuum Phase),u (NEW to my theory
,u is ordinary partial derivative
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)] = Eu^a(P)nab(Minkowski)Ev^b(P)
So far all this is for usual torsion-free connection.
So your "curvature field" is directly determined by the coordinate derivatives of the macroquantum
phase of your virtual BEC?
Yes, of course. I have been saying this over and over and it's in my two books from late 2002.
This is the elastic analog to Bohm's hydrodynamic constraint of IT by quBIT in
velocity of IT particle = (hbar/m)Gradient of phase of quBIT pilot waved)
I replace the quantum of circulation (AKA vorticity flux) hbar/m in 3D by the "Quantum of Area" in the 4D elastic world crystal lattice picture of Hagen Kleinert from Free University of Berlin.
The LIF ea with zero partial derivatives have dimensions of length in above formulae and guv is dimensionless.
If so, this looks like a flat-background quantum field model with a correspondence bridge to
"curved" Einstein g_uv.
Only FORMALLY not PHYSICALLY - important you make that distinction!
That is, there is no assumption of perturbation theory here.
In
guv(P) = nuv(Minkowski) + (1/2)[e'u,v(P) + e'v,u(P)]
In no sense do I assume
nuv(Minkowski) >> (1/2)[e'u,v(P) + e'v,u(P)]
The way Feynman does in his Lectures on Gravity using spin 2 quantum field on Poincare symmetry group background vacuum.
I am not doing that at all! Also these are SMOOTH MACRO-QUANTUM ODLRO functions. There will be a micro-quantum normal fluid spin 2 tensor quantum field on this smooth curved space-time background of course along with all the spin 1/2 and spin 1 quantum fields ALL together contribute to /\zpf!
But my theory is automatically BACKGROUND-INDEPENDENT and NON-PERTURBATIVE since guv(P) is a dynamical field from the beginning determined globally self-consistently in a self-organizing manner!
I'm curious: What in your model causes mechanical inertia? And what in your model explains, or
at least might explain, the exact proportionality of inertial and gravitational mass?
Exactly same as John Wheeler explains "Mass without mass" in his classic book "Geometrodynamics" with new feature Lp* ~ 10^20Lp on scale of 1 fermi to make the spatially-extended quasi Kerr-Newman micro-geons of the lepto-quarks out of exotic vacuum with "charges" as quantized vortex trapped flux fields not only U(1) but also SU(2) and SU(3).
The lepto-quark masses m ~ Vacuum Coherence consistent with Higgs mechanism - not Haisch's & Puthoff's random EM ZPF friction.
~ 1 Mev for first generation that dominates Omega(Matter) ~ 0.04 where total Omega = 1 the remaining 0.96 is ALL w = -1 ZPF exotic vacuum! Hence dark matter detectors silent in principle sans false positives.
Then use QCD Lite bag model (Frank Wilczek) to get hadronic masses M ~ 1Gev from lepto-quarks glued together again by /\zpf in a cascade process.
I have not proved consistency as yet. This is all heuristics based on my physical picture.
OK.
Z.
On Jul 3, 2004, at 1:28 AM, Paul Zielinski wrote:
I meant physical relativity of all motion, including accelerated motion.
The general principle of relativity was initially supposed by Einstein to
be modeled on the special principle and was supposed to be an extension
of it.
That's not the way it turned out -- or at least that's what I understand
to be the current view of the matter.
Jack Sarfatti wrote:
I think the cutoff is much larger than Planck distance at scale 1 fermi in fact it is 1 fermi on scale of 1 fermi
i.e. Lp* = 10^20Lp on scale of 1 fermi to stabilize electron as an extended micro-geon.
On Jul 2, 2004, at 7:36 PM, Paul Zielinski wrote:
Jack Sarfatti wrote:
On Jul 2, 2004, at 12:19 AM, Paul Zielinski wrote:
I was under the impression that there is a class of v^3 ZPE
density distributions that are Lorentz invariant?
Yes, that's what I am alluding to below. However, that does not have a finite cut-off in it, which is the problem.
The nitpicking point I first raised here is really not relevant to the main issue,
which is what happens to LI when the emptically confirmed v^3 ZPE spectrum
(which I suppose is actually a v^2 density distribution) is truncated at the Planck
scale.
Everyone here (except perhaps TS) says that this would destroy exact LI.
Puthoff seems to be saying that such a cutoff would nevertheless not have currently
observable consequences, while Ibison is not so sure.
What do you think?
Z.
I say it will have observable consequences that should be looked for in angular correlations in Lambshift radiation for example.
Saturday, July 03, 2004
Where did we come from and where are we going? Why existence?
John A. Wheeler opens the volume with Niels Bohr's idea of "daring conservatism" in doing physics. Better "daring conservatism" than "neo-conservatism" in doing pre-emptive "nation building" implementing the qabalistic thought of Leo Strauss? It may be too early to say? We live in interesting times. :-)
From "Hidden Variable: Through The Looking Glass Darkly" (Episode IV of Space-Time and Beyond - The Series)
Sarfatti's Commentaries on "Science and Ultimate Reality" starting with Freeman Dyson's ground-breaking essay in that volume from Cambridge University.
The handwriting may be on the wall for spin foam/weave and M theory attempts to quantize gravity? Dyson has "searched in vain" for a thought experiment to detect gravitons. Indeed, in my theory Einstein's metric field is not micro-quantum field, but is an emergent local macro-quantum vacuum field and it is wrong to re-quantize it. Dyson admits that all of this so far is a hypothesis not yet a statement of fact, but he warns that the assumption that "the gravitational field must be a quantum field" rests on very shaky ground indeed at Richter scale 10. ;-)
We interrupt this Epistle/Jeremiahed from the San Francisco North Beach Bohemians with an important bulletin just in:
On Jul 3, 2004, at 8:49 AM, d1494@copper.net wrote:
"Don't you remember what I sent you showing that the name "Sarfatti" actually came from the place name of Sareptha (sp) in Canaan? I was checking out C.Gordon's hypothesis of Bronze age voyages of some of the Israelite tribes (Dan, Asher, Gideon) along wth their cousins the sailors of King Hiram of Phoenecia, (known from the bible as friend and in law of King Solomon), at the time of Exodus (and Troy) and found that reference to the origin of the name "Sarfatti." These tribes left numerous linguistic markers and went to Argos in Greece and thence to Tarshis in Spain, Carthage and to the Rhone Valley in France and The British Isles where they mined tin. In another synchronicity, while I was working on this I came across an article on Hebrew etymology called "Back to the Future" (!) by one Gad Sarfatti of Bar Ilan University!!"
Dyson sees micro-quantum theory as unfinished and incomplete. Opposing attempts by Hawking and Susskind to apply it to cosmology may bring important insights but cannot be accepted as some kind of sacred dogma. At issue is the extent of the domain of validity of the linear Schrodinger equation with nonlocal entanglements in higher-dimensional 'many-particle" configuration space (and phase space if we use the Wigner density). In my theory, based on P.W. Anderson's "More is different" the micro-quantum linear Schrodinger equation in many-particle space is replaced by the macro-quantum nonlinear Landau-Ginzburg type equation in macro-occupied single-particle space at the boundary phase transition micro-quantum ---> macro-quantum. Indeed this includes the post-inflationary emergence of Einstein's smooth curved space-time along with dark energy and dark matter as two sides of the same zero point fluctuation exotic vacuum Face of Janus, but without any need for spin 2 gravitons in a non-perturbative sense.
Dyson gives several mind-boggling gedankenexperiments that continue the Bohr-Einstein Debate in the sense of "deep truths" in which the opposite is also true in the sense of "complementarity." This is definitely "dialectic" and "Qabala" in the sense of the late Carlo Suares who I met in Paris in 1973. The opposite of a trite truth is, of course, false.
"I hope this chapter has left you as confused as it leaves me." Dyson p. 88
How very Leo Straussian! :-) Did Leo Strauss ever mention Niels Bohr?
"One should not speak more clearly than one can think." Thus Sprach Bohr
This reminds me of Ludwig Wittgenstein extolling the virtue of silence whilst compulsively watching John Wayne Westerns.
There is a challenge for Bohmians to counter Dyson's suggestion that one cannot use pilot waves continuously. There is also Dyson's idea of the sharp break between past actual facts and future potentia that may contradict Shelly Goldstein's recent paper on "opposite arrows of time" http://www.math.rutgers.edu/~oldstein/ on how retro-causation allows a special relativistically covariant Bohm pilot-wave/extra variable theory along the lines of Costa de Beauregard's "Wheeler-Feynman Zig Zag" and Cramer's transactional hand-shake not to exclude Aharonov's "Destiny" and "History" waves.
to be continued
PS Einstein's Box reconsidered:
"arrange an optical system with f-number f that will focus the photon on to a fixed point at a distance l = f(Uncertainty in Position) from the window of the box, no matter where the box happens to be at the moment of emission ...
(Uncertainty in Energy of Photon)(Uncertainty in Time of Emission of Photon) = (f/cT)(Uncertainty in Position)^2(Uncertainty in Momentum)
T is time it takes to transfer momentum to the balance by the spring in Einstein's experimental design. One can easily, in principle, make the RHS of the above equation less than the Heisenberg limit hbar/2. Of course that is the domain of virtual zero point processes.
"After 70 years, Einstein is finally vindicated." Dyson p. 82
Copenhagen has produced two great spinners of Fairy Tales, Hans Christian Anderson and Niels Bohr. Of course we love them both. :-)
John A. Wheeler opens the volume with Niels Bohr's idea of "daring conservatism" in doing physics. Better "daring conservatism" than "neo-conservatism" in doing pre-emptive "nation building" implementing the qabalistic thought of Leo Strauss? It may be too early to say? We live in interesting times. :-)
From "Hidden Variable: Through The Looking Glass Darkly" (Episode IV of Space-Time and Beyond - The Series)
Sarfatti's Commentaries on "Science and Ultimate Reality" starting with Freeman Dyson's ground-breaking essay in that volume from Cambridge University.
The handwriting may be on the wall for spin foam/weave and M theory attempts to quantize gravity? Dyson has "searched in vain" for a thought experiment to detect gravitons. Indeed, in my theory Einstein's metric field is not micro-quantum field, but is an emergent local macro-quantum vacuum field and it is wrong to re-quantize it. Dyson admits that all of this so far is a hypothesis not yet a statement of fact, but he warns that the assumption that "the gravitational field must be a quantum field" rests on very shaky ground indeed at Richter scale 10. ;-)
We interrupt this Epistle/Jeremiahed from the San Francisco North Beach Bohemians with an important bulletin just in:
On Jul 3, 2004, at 8:49 AM, d1494@copper.net wrote:
"Don't you remember what I sent you showing that the name "Sarfatti" actually came from the place name of Sareptha (sp) in Canaan? I was checking out C.Gordon's hypothesis of Bronze age voyages of some of the Israelite tribes (Dan, Asher, Gideon) along wth their cousins the sailors of King Hiram of Phoenecia, (known from the bible as friend and in law of King Solomon), at the time of Exodus (and Troy) and found that reference to the origin of the name "Sarfatti." These tribes left numerous linguistic markers and went to Argos in Greece and thence to Tarshis in Spain, Carthage and to the Rhone Valley in France and The British Isles where they mined tin. In another synchronicity, while I was working on this I came across an article on Hebrew etymology called "Back to the Future" (!) by one Gad Sarfatti of Bar Ilan University!!"
Dyson sees micro-quantum theory as unfinished and incomplete. Opposing attempts by Hawking and Susskind to apply it to cosmology may bring important insights but cannot be accepted as some kind of sacred dogma. At issue is the extent of the domain of validity of the linear Schrodinger equation with nonlocal entanglements in higher-dimensional 'many-particle" configuration space (and phase space if we use the Wigner density). In my theory, based on P.W. Anderson's "More is different" the micro-quantum linear Schrodinger equation in many-particle space is replaced by the macro-quantum nonlinear Landau-Ginzburg type equation in macro-occupied single-particle space at the boundary phase transition micro-quantum ---> macro-quantum. Indeed this includes the post-inflationary emergence of Einstein's smooth curved space-time along with dark energy and dark matter as two sides of the same zero point fluctuation exotic vacuum Face of Janus, but without any need for spin 2 gravitons in a non-perturbative sense.
Dyson gives several mind-boggling gedankenexperiments that continue the Bohr-Einstein Debate in the sense of "deep truths" in which the opposite is also true in the sense of "complementarity." This is definitely "dialectic" and "Qabala" in the sense of the late Carlo Suares who I met in Paris in 1973. The opposite of a trite truth is, of course, false.
"I hope this chapter has left you as confused as it leaves me." Dyson p. 88
How very Leo Straussian! :-) Did Leo Strauss ever mention Niels Bohr?
"One should not speak more clearly than one can think." Thus Sprach Bohr
This reminds me of Ludwig Wittgenstein extolling the virtue of silence whilst compulsively watching John Wayne Westerns.
There is a challenge for Bohmians to counter Dyson's suggestion that one cannot use pilot waves continuously. There is also Dyson's idea of the sharp break between past actual facts and future potentia that may contradict Shelly Goldstein's recent paper on "opposite arrows of time" http://www.math.rutgers.edu/~oldstein/ on how retro-causation allows a special relativistically covariant Bohm pilot-wave/extra variable theory along the lines of Costa de Beauregard's "Wheeler-Feynman Zig Zag" and Cramer's transactional hand-shake not to exclude Aharonov's "Destiny" and "History" waves.
to be continued
PS Einstein's Box reconsidered:
"arrange an optical system with f-number f that will focus the photon on to a fixed point at a distance l = f(Uncertainty in Position) from the window of the box, no matter where the box happens to be at the moment of emission ...
(Uncertainty in Energy of Photon)(Uncertainty in Time of Emission of Photon) = (f/cT)(Uncertainty in Position)^2(Uncertainty in Momentum)
T is time it takes to transfer momentum to the balance by the spring in Einstein's experimental design. One can easily, in principle, make the RHS of the above equation less than the Heisenberg limit hbar/2. Of course that is the domain of virtual zero point processes.
"After 70 years, Einstein is finally vindicated." Dyson p. 82
Copenhagen has produced two great spinners of Fairy Tales, Hans Christian Anderson and Niels Bohr. Of course we love them both. :-)
Friday, July 02, 2004
On Jul 2, 2004, at 12:15 PM, michael ibison wrote:
Apart from zero, the omega-cubed spectrum is the only spectrum whose
energy-density - per unit frequency, per unit volume - is invariant under
boosts.
OK
A more fundamental invariance of the ZPF under boosts is the (k-space)
momentum density, per unit momentum in any direction, per unit volume. The
spectral energy-density invariance follows from this invariance.
A spectral energy density per unit frequency, per unit volume is not, of
course, a Lorentz scalar, i.e. is not in general invariant under boosts for
example. If a spectral energy density of the vacuum plays a role in the
physics, then the former must be specifically constructed so that the latter
remains LI. I.E. the former must be omega-cubed distributed.
I am uncomfortable about accepting the unobservable cutoff argument.
So am I.
It is
not obvious to me that mass renormalization is insensitive to the cutoff.
Agreed
Since renormalization is dominated by the energy at the top end of the
spectrum, any shift in a cutoff induced by a boost could conceivably have
dramatic consequences for the observed mass.
The rest mass must be invariant under boosts, though the total mass is not.
Any significant change in rest mass, i.e. e/m, h/mc will likely be catastrophic in sense of WMD.
I'm sure better folks than me have given this some thought and have decided
the issue on way or another.
Maybe, maybe not?
Michael
On Jul 2, 2004, at 12:42 PM, Paul Zielinski wrote:
From the POV of GR(1916), SR(1905) is, strictly speaking, *false almost everywhere*,
since even in GR(1916) spacetime is almost never flat in the presence of matter even at
a spacetime point, and this has locally detectable consequences.
Yes, that is what I said. This is generally true when a theory is extended to a covering theory.
The original theory is only true in a sub-domain of the domain of validity of the covering theory.
BTW Freeman Dyson agrees with me generally that quantum theory needs a covering theory.
Lenny Susskind and Hawking do not think that though they disagree about fate of information down
the black hole that Puthoff says does not exist.
SR as a tangent space is an approximate idea as I showed in detail before. It is contingent on the bandwidth
resolution of the measuring instruments. Curvature is a local tensor field that does not vanish in the geodesic LIF if it does not
vanish in the non-geodesic COINCIDENT LNIF in same neighborhood of point event P relative to the 1916 torsion-free connection.
As to a *limited set of phenomena*, the predictions of SR(1905) are, however, locally
*compatible* with those of GR(1916), *on a purely empirical level*, in LIFs.
Yes, and this shows the limit of the purely SR "no ether" idea. A generally covariant "ether" is part of GR as shown experimentally in the Hubble flow where we have an absolute velocity measured by anisotropy of CMB and an absolute global time measured by the temperature of this same CMB (or CBB generally) - inside a Hubble sphere on a single spatially-flat post-inflation bubble in sense of chaotic inflation and the WAP.
Is that what you mean?
The correct theoretic interpretation of the predictions of GR(1916) is quite different from
the classic Einstein interpretation of SR(1905), and is consistent with -- and even
suggests -- a *non-mechanical* quasi-Lorentzian ether (as Einstein announced in 1920
in his Leyden address, and as explicitly mentioned by Pauli in his well-known 1921
Handbuch article).
Correct.
I would argue that this reduced the original Einsteinian principle of relativity to the status
of an *arbitrary formal metatheoretic stipulation*, where the concept of actual physical
relativity of motion had in fact been tacitly abandoned.
The special principle of relativity works very well practically in high energy beam scattering experiments for example - where the curvature corrections are small. They are not small however inside the lepto-quark itself with an effective short-range G* >> G(Newton) induced by dark energy/matter exotic vacuum residual micro-quantum ZPF modulated by partial macro-quantum vacuum coherence.
This meant that the Mach- and Poincare-inspired thinking behind classic Einsteinian SR
was also no longer to be taken too seriously -- which I believe is the "non-Einsteinian"
POV actually adopted by Einstein himself between 1920-26.
Yes, pretty much.
Among other things, this dramatic paradigm shift profoundly changed Einstein's view of physical
fields, which he had once regarded as autonomous entities subsisting in a truly relativistic void.
Hence unified field theory. Hence his opposition to Copenhagen quantum mechanics.
Freeman Dyson has much to say about this in his 2002 essay in "Science and Ultimate Reality.'
(According to the insufferably arrogant J. R. Oppenheimer, this radical change in Einstein's
thinking coincided with the onset of premature "senility".)
Yes, I remember Ronnie Peierls talking about this in the car coming home from a Cornell Savoyards rehearsal when he was living at Han Bethe's house ~ 1958.
Although of course this formal husk of a relativity principle still had some *heuristic* utility
in that it led in the case of GR(1916) to the mathematically simplest field equations of the
general covariant type (Einstein 1947).
This is why many now argue that the term "general relativity" is an antiquated misnomer, the
relic of a bygone era.
Like the worm Ouruboros, Einsteinian "general relativity" -- and thus physical relativity in
general -- ate its own tail.
In short, Einstein's theory of gravitation and his classic "special theory of relativity" are two
completely different animals. One is not simply a generalization of the other, as orginally
conceived by Einstein -- notwithstanding what is written in influential textbooks such as
Misner, Thorne & Wheeler's "Gravitation".
Z.
I stop short of your last paragraph since in a formal sense GR(1916) ----> SR(1905) when local radii of curvature ---> infinity every where-when.
In my theory of "More is different" emergent gravity, with dark energy/matter exotic vacuum phases, this is precisely what happens when macro-quantum partial vacuum coherence ---> 0 everywhere-when.
There is no "classical limit." What we misidentified as "classical space-time" is simply an artifact of P.W. Anderson's "generalized phase rigidity" of the partial vacuum coherence field whose "normal fluid" is the w = -1 ZPF of exotic dark energy/matter of negative/positive quantum pressure respectively.
http://qedcorp.com/destiny/warpdrive.pdf
Jack Sarfatti wrote:
I seem to recall a detailed discussion of the Lorentz boosts of the blackbody spectrum in Richard Tolman's old text on Statistical Mechanics that I actually may have a copy of in my office. This relates to the "aether" issue over which amateurs get confused. GR(1916) is a covering theory of SR(1905), things globally true in SR are no longer so in GR. SR is approximately locally true in GR provided:
1. scale of measurements L << scale of local tensor radii of curvature Rc
2. L >> Lp* = scale of micro-quantum metric and connection zero point vacuum fluctuations.
Note Lp* may be a function of L and NOT a constant 10^-33 cm. Indeed in my theory
Lp*(1 fermi) ~ 1fermi in order to stabilize the spatially-extended electron as a Wheeler "Mass without mass" micro-geon = Bohm-Vigier "extra variable."
This feature is largely missed in Wheeler 90th 'Science and Ultimate Reality" BTW.
The WMAP observations show CMB black body spectrum isotropic to ~ 10^-5 angular correlations over entire celestial sphere relative to Hubble flow of the dark energy accelerated expansion of 3D space of the Tegmark "Level I" Hubble bubble universe we are inside of like E. Abbott's Flatlanders on a Euclidean plane. My theory BTW explains Linde's chaotic inflation dynamically.
A Lorentz boost on the CMB relative to the Hubble flow introduced anisotropy in the CMB, which is an "absolute velocity" meter for star ships just as measuring absolute Kelvin temperature of the CMB is an absolute cosmological clock for those Masters and Commanders navigating Her Majesty's Space Navy! ;-)
http://math.boisestate.edu/gas/pinafore/captain.mp3
On Jul 2, 2004, at 12:49 PM, Paul Zielinski wrote:
It's certainly necessary for the Lorentz invariance of the actual
ZPE distribution, which is what really matters here.
I think Hal is exactly right that this invariance is broken at the
margins by a Planck scale cutoff, but the empirically detectable
effects of this are very slight -- contrary to what Tony Smith
seems to be saying.
Z.
Jack Sarfatti wrote:
Ask Puthoff, I think he is correct on that. I cannot recall proof instantly.
Also, I am saying that the ZPF cut-off is a scale-dependent variable! The ZPF cut-off is not the same on scale of 1 fermi that it is on scale of 10^2 megaparsecs or even what it is on scale of 1 Angstrom where Lamb shift is measured. We need a continuous wavelet transformation (AKA "CWT") generalization of the Fourier transform-based Wigner phase space density to say this precisely. I have not yet succeeded in doing this, but the renormalization group flow to a fixed point is a guide to what I am dimly driving at - Through The Looking Glass Darkly.
The Type 1a supernovae data on dark energy ZPF energy density is only valid on a large-scale in sense of a ZOOM-OUT in the CWT. The Lamb shift data is a ZOOM-IN in the CWT "Multi-Resolution Landscape." Similarly for the universal Regge slope of the hadronic resonances and the spatially-extended structure of the incredibly-shrinking lepto-quark "mass without mass", "charge without charge" "micro-geons" "hidden variables."
You can call this the "ZOOM ZOOM" theory. :-)
On Jul 2, 2004, at 1:07 PM, Paul Zielinski wrote:
michael ibison wrote:
Apart from zero, the omega-cubed spectrum is the only spectrum whose
energy-density - per unit frequency, per unit volume - is invariant under
boosts.
OK, so the LI of Einstein SR clearly depends entirely on the exact v^3 spectral
characteristic of the quantum vacuum.
A more fundamental invariance of the ZPF under boosts is the (k-space)
momentum density, per unit momentum in any direction, per unit volume. The
spectral energy-density invariance follows from this invariance.
OK.
A spectral energy density per unit frequency, per unit volume is not, of
course, a Lorentz scalar, i.e. is not in general invariant under boosts for
example. If a spectral energy density of the vacuum plays a role in the
physics, then the former must be specifically constructed so that the latter
remains LI. I.E. the former must be omega-cubed distributed.
OK.
I am uncomfortable about accepting the unobservable cutoff argument. It is
not obvious to me that mass renormalization is insensitive to the cutoff.
Since renormalization is dominated by the energy at the top end of the
spectrum, any shift in a cutoff induced by a boost could conceivably have
dramatic consequences for the observed mass.
I would be uncomfortable basing any fundamental argument on the quirks of mass
renormalization, which I have to regard as a proverbial can of worms -- but
that's another debate.
I'm sure better folks than me have given this some thought and have decided
the issue on way or another.
This is a fundamental issue so I would expect that somewhere there is a clear-cut
mathematical proof of the necessity and sufficiency of the exact v^3 ZPE spectral
characteristic for LI.
Since I strongly suspect a ZPE cutoff of some kind is necessary to avoid
catastrophes, this raises serious questions about the status of LI as an exact
symmetry, in my mind.
Z.
The EINSTEIN NASA Probe shows LI remarkably accurate in I think high energy cosmic ray data?
No deviation from mass shell
E^2 = (pc)^2 + (mc^2)^2
as some of the fancy math theories seem to predict. I have to go back and check on the details.
On Jul 2, 2004, at 1:52 PM, Mark Davidson wrote:
Jack,
You are right about Tolman. The reference is:
R. Tolman, Relativisitc Thermodynamics and Cosmolgy, Oxford University Press, 1934. Page 161.
Tolman also references the following earlier derivation of the boost laws of black body radiation:
Monsengeil, Ann. der Physik, 22, 867, 1907.
Tolman also gives expressions for the Lorentz transformation properties of general disordered and ordered radiation. So knowledge of the Lorentz transformation properties of radiation fields is truly ancient.
From Tolman's formulae it follows immediately that any vacuum with a finite energy density must be non-invariant under Lorentz transformations.
I think you mean "finite energy cutoff"?
Note that
Guv + /\zpfguv = 0 in a LNIF
is generally covariant with /\zpf a scalar and it is also LI invariant
Gab + /\zpfnab = 0 in a LIF
nab = SR (1905) metric
guv = Eu^anabEv^b = GR(1916) metric
eu = Eu^aea = Lp*^2(Phase of Partial Vacuum Coherence),u
,u is ordinary partial derivative that may be generalized to U(1)xSU(2)xSU(3) spin 1 gauge force covariant partial derivatives in sense of the FALSE pre-inflationary vacuum of globally flat quantum field theory with full conformal group symmetry, i.e. ALL rest masses m = 0 in the globally flat FALSE VACUUM.
You can think of this as a perfect defect free Planck lattice in sense of Hagen Kleinert's string topology defect density elastic model of curvature, torsion and ...? m =/= 0 is a vacuum coherence effect (Higgs mechanism) not random ZPF friction effect in sense of Haisch-Puthoff-Rueda. To be consistent with local equivalence principle, gravity and inertia are ONE AND THE SAME! Rest inertia m is "Mass without mass" micro-geon with Lp* ~ 10^20Lp.
ea is LIF basis
eu is LNIF basis
Best wishes,
Mark
At 10:23 AM 7/2/2004, you wrote:
I seem to recall a detailed discussion of the Lorentz boosts of the blackbody spectrum in Richard Tolman's old text on Statistical Mechanics that I actually may have a copy of in my office. This relates to the "aether" issue over which amateurs get confused. GR(1916) is a covering theory of SR(1905), things globally true in SR are no longer so in GR. SR is approximately locally true in GR provided:
On Jul 2, 2004, at 9:24 AM, Mark Davidson wrote:
I think Jack is correct, the zero point spectrum of QED is the only Lorentz invariant spectrum. Put a cutoff in that spectrum and you destroy Lorentz invariance. Black body spectrum is not Lorentz invariant except at zero temperature.
Mark
At 12:19 AM 7/2/2004, Paul Zielinski wrote:
I was under the impression that there is a class of v^3 ZPE
density distributions that are Lorentz invariant?
Jack Sarfatti wrote:
I think Puthoff has an argument related to that? Definitely as I recall the EM ZPF spectrum is the only one consistent with local Lorentz invariance as I recall off top of my head.
On Jul 1, 2004, at 10:32 AM, Paul Zielinski wrote:
While it has been shown that the black-body distribution is
compatible with Lorentz invariance, I know of no proof that
that the full blackbody spectrum is a *necessary* condition
for such invariance.
This is an interesting question IMO.
Z.
Jack Sarfatti wrote:
"The Question is: What is The Question?" J.A. Wheeler, The Daring Conservative
We need to distinguish several issues:
1. Is a virtual photon ZPF cutoff actually observed in the lab? - empirical question.
2. If yes, does that imply a new experimental effect of anisotropy in Lamb shift radiation as observed perhaps in angular correlation measurements on such radiation? - empirical question.
3.What is the value of the cutoff if it exists? - empirical question
4. If a virtual photon cutoff is a fact, is this evidence for non-commuting space-time? theoretical question
.....
-----Original Message-----
From: Paul Zielinski [mailto:iksnileiz@earthlink.net]
Sent: Friday, July 02, 2004 1:42 PM
To: Puthoff@aol.com
Subject: Re: Puthoff & Lorentz invariance and alleged experimental lab
ZPE cutoff
Puthoff@aol.com wrote:
In a message dated 7/2/2004 11:24:19 AM Central Daylight Time,
mdavid@spectelresearch.com writes:
.... the zero point spectrum of QED is the only Lorentz
invariant spectrum.
Indeed, as discussed in my paper, H. E. Puthoff, "Gravity as a
Zero-Point-Fluctuation Force," Phys. Rev. A 39, 2333 (1989); Phys. Rev
A 47, 3454 (1993),
"... Lorentz invariance, which derives specifically from the
spectrum's cubic dependence on frequency.
So are you saying that the standard ZPE spectrum is the *only* possible
distribution with the v^3 characteristic?
Now I'm confused.
Logically, I would have thought that the v^3 dependence of the standard
ZPE spectrum guarantees Lorentz
invariance of the distribution -- which I accept -- does not *in itself*
prove that all Lorentz invariant distributions
*must* have this dependence.
Do you have a proof that this v^3 characteristic is also a necessary
condition?
Of course, if the v^3 ZPE characteristic has been unambiguuosly
confirmed by experiment, then this is all
irrelevant.
The cubic spectrum is unique in its property that delicate
cancellations of Doppler shifts with velocity boosts leaves the
spectrum Lorentz invariant."
OK, but this leaves the logical possibility of alternative spectral
distributions that may satisfy Lorentz
invariance for different reasons -- which may have nothing to do with
Doppler cancellation.
I am not suggesting that this Doppler cancellation is not significant --
in fact I believe it is very significant.
Most interetsing of all, in my view, is that it illustrates the intimate
connection between Lorentz invariance
and the *contingent* physical characteristics of the quantum vacuum --
which raises interesting questions
(in my mind, at least) as to the true status of the Einsteinian
relativity principle
Put a cutoff in that spectrum and you destroy Lorentz
invariance.
In principle, yes. However, as discussed in my footnote 21 in the
above paper, I point out:
"The possible existence of a cutoff in quantum theory is recognized to
introduce a non-Lorentz-invariant factor, in that detection of a
Doppler-shifted cutoff frequency by a moving detector could in
principle reveal absolute motion. As pointed out in the literature,
however, [for example, by M. A. Shupe, Am. J. Phys. 53, 122 (1985)],
as long as the cutoff frequency is beyond detectability (as in the
Planck frequency in this case) there is no measurable consequence
expected of such a breakdown of Lorentz invariance at this limit of
present physical theory, either now or in the foreseeable future."
OK. So, at a minimum, assuming Lorentz invariance based on a v^3
spectrum -- which of course is the
case for the standard ZPE distribution -- a Planck scale cutoff of such
a spectrum will indeed
destroy perfect Lorentz invariance, but not to the extent that it
contradicts the results of existing
measurements.
This seems to be a little different from what Tony Smith was claiming.
Z.
Cheers,
Hal Puthoff
Apart from zero, the omega-cubed spectrum is the only spectrum whose
energy-density - per unit frequency, per unit volume - is invariant under
boosts.
OK
A more fundamental invariance of the ZPF under boosts is the (k-space)
momentum density, per unit momentum in any direction, per unit volume. The
spectral energy-density invariance follows from this invariance.
A spectral energy density per unit frequency, per unit volume is not, of
course, a Lorentz scalar, i.e. is not in general invariant under boosts for
example. If a spectral energy density of the vacuum plays a role in the
physics, then the former must be specifically constructed so that the latter
remains LI. I.E. the former must be omega-cubed distributed.
I am uncomfortable about accepting the unobservable cutoff argument.
So am I.
It is
not obvious to me that mass renormalization is insensitive to the cutoff.
Agreed
Since renormalization is dominated by the energy at the top end of the
spectrum, any shift in a cutoff induced by a boost could conceivably have
dramatic consequences for the observed mass.
The rest mass must be invariant under boosts, though the total mass is not.
Any significant change in rest mass, i.e. e/m, h/mc will likely be catastrophic in sense of WMD.
I'm sure better folks than me have given this some thought and have decided
the issue on way or another.
Maybe, maybe not?
Michael
On Jul 2, 2004, at 12:42 PM, Paul Zielinski wrote:
From the POV of GR(1916), SR(1905) is, strictly speaking, *false almost everywhere*,
since even in GR(1916) spacetime is almost never flat in the presence of matter even at
a spacetime point, and this has locally detectable consequences.
Yes, that is what I said. This is generally true when a theory is extended to a covering theory.
The original theory is only true in a sub-domain of the domain of validity of the covering theory.
BTW Freeman Dyson agrees with me generally that quantum theory needs a covering theory.
Lenny Susskind and Hawking do not think that though they disagree about fate of information down
the black hole that Puthoff says does not exist.
SR as a tangent space is an approximate idea as I showed in detail before. It is contingent on the bandwidth
resolution of the measuring instruments. Curvature is a local tensor field that does not vanish in the geodesic LIF if it does not
vanish in the non-geodesic COINCIDENT LNIF in same neighborhood of point event P relative to the 1916 torsion-free connection.
As to a *limited set of phenomena*, the predictions of SR(1905) are, however, locally
*compatible* with those of GR(1916), *on a purely empirical level*, in LIFs.
Yes, and this shows the limit of the purely SR "no ether" idea. A generally covariant "ether" is part of GR as shown experimentally in the Hubble flow where we have an absolute velocity measured by anisotropy of CMB and an absolute global time measured by the temperature of this same CMB (or CBB generally) - inside a Hubble sphere on a single spatially-flat post-inflation bubble in sense of chaotic inflation and the WAP.
Is that what you mean?
The correct theoretic interpretation of the predictions of GR(1916) is quite different from
the classic Einstein interpretation of SR(1905), and is consistent with -- and even
suggests -- a *non-mechanical* quasi-Lorentzian ether (as Einstein announced in 1920
in his Leyden address, and as explicitly mentioned by Pauli in his well-known 1921
Handbuch article).
Correct.
I would argue that this reduced the original Einsteinian principle of relativity to the status
of an *arbitrary formal metatheoretic stipulation*, where the concept of actual physical
relativity of motion had in fact been tacitly abandoned.
The special principle of relativity works very well practically in high energy beam scattering experiments for example - where the curvature corrections are small. They are not small however inside the lepto-quark itself with an effective short-range G* >> G(Newton) induced by dark energy/matter exotic vacuum residual micro-quantum ZPF modulated by partial macro-quantum vacuum coherence.
This meant that the Mach- and Poincare-inspired thinking behind classic Einsteinian SR
was also no longer to be taken too seriously -- which I believe is the "non-Einsteinian"
POV actually adopted by Einstein himself between 1920-26.
Yes, pretty much.
Among other things, this dramatic paradigm shift profoundly changed Einstein's view of physical
fields, which he had once regarded as autonomous entities subsisting in a truly relativistic void.
Hence unified field theory. Hence his opposition to Copenhagen quantum mechanics.
Freeman Dyson has much to say about this in his 2002 essay in "Science and Ultimate Reality.'
(According to the insufferably arrogant J. R. Oppenheimer, this radical change in Einstein's
thinking coincided with the onset of premature "senility".)
Yes, I remember Ronnie Peierls talking about this in the car coming home from a Cornell Savoyards rehearsal when he was living at Han Bethe's house ~ 1958.
Although of course this formal husk of a relativity principle still had some *heuristic* utility
in that it led in the case of GR(1916) to the mathematically simplest field equations of the
general covariant type (Einstein 1947).
This is why many now argue that the term "general relativity" is an antiquated misnomer, the
relic of a bygone era.
Like the worm Ouruboros, Einsteinian "general relativity" -- and thus physical relativity in
general -- ate its own tail.
In short, Einstein's theory of gravitation and his classic "special theory of relativity" are two
completely different animals. One is not simply a generalization of the other, as orginally
conceived by Einstein -- notwithstanding what is written in influential textbooks such as
Misner, Thorne & Wheeler's "Gravitation".
Z.
I stop short of your last paragraph since in a formal sense GR(1916) ----> SR(1905) when local radii of curvature ---> infinity every where-when.
In my theory of "More is different" emergent gravity, with dark energy/matter exotic vacuum phases, this is precisely what happens when macro-quantum partial vacuum coherence ---> 0 everywhere-when.
There is no "classical limit." What we misidentified as "classical space-time" is simply an artifact of P.W. Anderson's "generalized phase rigidity" of the partial vacuum coherence field whose "normal fluid" is the w = -1 ZPF of exotic dark energy/matter of negative/positive quantum pressure respectively.
http://qedcorp.com/destiny/warpdrive.pdf
Jack Sarfatti wrote:
I seem to recall a detailed discussion of the Lorentz boosts of the blackbody spectrum in Richard Tolman's old text on Statistical Mechanics that I actually may have a copy of in my office. This relates to the "aether" issue over which amateurs get confused. GR(1916) is a covering theory of SR(1905), things globally true in SR are no longer so in GR. SR is approximately locally true in GR provided:
1. scale of measurements L << scale of local tensor radii of curvature Rc
2. L >> Lp* = scale of micro-quantum metric and connection zero point vacuum fluctuations.
Note Lp* may be a function of L and NOT a constant 10^-33 cm. Indeed in my theory
Lp*(1 fermi) ~ 1fermi in order to stabilize the spatially-extended electron as a Wheeler "Mass without mass" micro-geon = Bohm-Vigier "extra variable."
This feature is largely missed in Wheeler 90th 'Science and Ultimate Reality" BTW.
The WMAP observations show CMB black body spectrum isotropic to ~ 10^-5 angular correlations over entire celestial sphere relative to Hubble flow of the dark energy accelerated expansion of 3D space of the Tegmark "Level I" Hubble bubble universe we are inside of like E. Abbott's Flatlanders on a Euclidean plane. My theory BTW explains Linde's chaotic inflation dynamically.
A Lorentz boost on the CMB relative to the Hubble flow introduced anisotropy in the CMB, which is an "absolute velocity" meter for star ships just as measuring absolute Kelvin temperature of the CMB is an absolute cosmological clock for those Masters and Commanders navigating Her Majesty's Space Navy! ;-)
http://math.boisestate.edu/gas/pinafore/captain.mp3
On Jul 2, 2004, at 12:49 PM, Paul Zielinski wrote:
It's certainly necessary for the Lorentz invariance of the actual
ZPE distribution, which is what really matters here.
I think Hal is exactly right that this invariance is broken at the
margins by a Planck scale cutoff, but the empirically detectable
effects of this are very slight -- contrary to what Tony Smith
seems to be saying.
Z.
Jack Sarfatti wrote:
Ask Puthoff, I think he is correct on that. I cannot recall proof instantly.
Also, I am saying that the ZPF cut-off is a scale-dependent variable! The ZPF cut-off is not the same on scale of 1 fermi that it is on scale of 10^2 megaparsecs or even what it is on scale of 1 Angstrom where Lamb shift is measured. We need a continuous wavelet transformation (AKA "CWT") generalization of the Fourier transform-based Wigner phase space density to say this precisely. I have not yet succeeded in doing this, but the renormalization group flow to a fixed point is a guide to what I am dimly driving at - Through The Looking Glass Darkly.
The Type 1a supernovae data on dark energy ZPF energy density is only valid on a large-scale in sense of a ZOOM-OUT in the CWT. The Lamb shift data is a ZOOM-IN in the CWT "Multi-Resolution Landscape." Similarly for the universal Regge slope of the hadronic resonances and the spatially-extended structure of the incredibly-shrinking lepto-quark "mass without mass", "charge without charge" "micro-geons" "hidden variables."
You can call this the "ZOOM ZOOM" theory. :-)
On Jul 2, 2004, at 1:07 PM, Paul Zielinski wrote:
michael ibison wrote:
Apart from zero, the omega-cubed spectrum is the only spectrum whose
energy-density - per unit frequency, per unit volume - is invariant under
boosts.
OK, so the LI of Einstein SR clearly depends entirely on the exact v^3 spectral
characteristic of the quantum vacuum.
A more fundamental invariance of the ZPF under boosts is the (k-space)
momentum density, per unit momentum in any direction, per unit volume. The
spectral energy-density invariance follows from this invariance.
OK.
A spectral energy density per unit frequency, per unit volume is not, of
course, a Lorentz scalar, i.e. is not in general invariant under boosts for
example. If a spectral energy density of the vacuum plays a role in the
physics, then the former must be specifically constructed so that the latter
remains LI. I.E. the former must be omega-cubed distributed.
OK.
I am uncomfortable about accepting the unobservable cutoff argument. It is
not obvious to me that mass renormalization is insensitive to the cutoff.
Since renormalization is dominated by the energy at the top end of the
spectrum, any shift in a cutoff induced by a boost could conceivably have
dramatic consequences for the observed mass.
I would be uncomfortable basing any fundamental argument on the quirks of mass
renormalization, which I have to regard as a proverbial can of worms -- but
that's another debate.
I'm sure better folks than me have given this some thought and have decided
the issue on way or another.
This is a fundamental issue so I would expect that somewhere there is a clear-cut
mathematical proof of the necessity and sufficiency of the exact v^3 ZPE spectral
characteristic for LI.
Since I strongly suspect a ZPE cutoff of some kind is necessary to avoid
catastrophes, this raises serious questions about the status of LI as an exact
symmetry, in my mind.
Z.
The EINSTEIN NASA Probe shows LI remarkably accurate in I think high energy cosmic ray data?
No deviation from mass shell
E^2 = (pc)^2 + (mc^2)^2
as some of the fancy math theories seem to predict. I have to go back and check on the details.
On Jul 2, 2004, at 1:52 PM, Mark Davidson wrote:
Jack,
You are right about Tolman. The reference is:
R. Tolman, Relativisitc Thermodynamics and Cosmolgy, Oxford University Press, 1934. Page 161.
Tolman also references the following earlier derivation of the boost laws of black body radiation:
Monsengeil, Ann. der Physik, 22, 867, 1907.
Tolman also gives expressions for the Lorentz transformation properties of general disordered and ordered radiation. So knowledge of the Lorentz transformation properties of radiation fields is truly ancient.
From Tolman's formulae it follows immediately that any vacuum with a finite energy density must be non-invariant under Lorentz transformations.
I think you mean "finite energy cutoff"?
Note that
Guv + /\zpfguv = 0 in a LNIF
is generally covariant with /\zpf a scalar and it is also LI invariant
Gab + /\zpfnab = 0 in a LIF
nab = SR (1905) metric
guv = Eu^anabEv^b = GR(1916) metric
eu = Eu^aea = Lp*^2(Phase of Partial Vacuum Coherence),u
,u is ordinary partial derivative that may be generalized to U(1)xSU(2)xSU(3) spin 1 gauge force covariant partial derivatives in sense of the FALSE pre-inflationary vacuum of globally flat quantum field theory with full conformal group symmetry, i.e. ALL rest masses m = 0 in the globally flat FALSE VACUUM.
You can think of this as a perfect defect free Planck lattice in sense of Hagen Kleinert's string topology defect density elastic model of curvature, torsion and ...? m =/= 0 is a vacuum coherence effect (Higgs mechanism) not random ZPF friction effect in sense of Haisch-Puthoff-Rueda. To be consistent with local equivalence principle, gravity and inertia are ONE AND THE SAME! Rest inertia m is "Mass without mass" micro-geon with Lp* ~ 10^20Lp.
ea is LIF basis
eu is LNIF basis
Best wishes,
Mark
At 10:23 AM 7/2/2004, you wrote:
I seem to recall a detailed discussion of the Lorentz boosts of the blackbody spectrum in Richard Tolman's old text on Statistical Mechanics that I actually may have a copy of in my office. This relates to the "aether" issue over which amateurs get confused. GR(1916) is a covering theory of SR(1905), things globally true in SR are no longer so in GR. SR is approximately locally true in GR provided:
On Jul 2, 2004, at 9:24 AM, Mark Davidson wrote:
I think Jack is correct, the zero point spectrum of QED is the only Lorentz invariant spectrum. Put a cutoff in that spectrum and you destroy Lorentz invariance. Black body spectrum is not Lorentz invariant except at zero temperature.
Mark
At 12:19 AM 7/2/2004, Paul Zielinski wrote:
I was under the impression that there is a class of v^3 ZPE
density distributions that are Lorentz invariant?
Jack Sarfatti wrote:
I think Puthoff has an argument related to that? Definitely as I recall the EM ZPF spectrum is the only one consistent with local Lorentz invariance as I recall off top of my head.
On Jul 1, 2004, at 10:32 AM, Paul Zielinski wrote:
While it has been shown that the black-body distribution is
compatible with Lorentz invariance, I know of no proof that
that the full blackbody spectrum is a *necessary* condition
for such invariance.
This is an interesting question IMO.
Z.
Jack Sarfatti wrote:
"The Question is: What is The Question?" J.A. Wheeler, The Daring Conservative
We need to distinguish several issues:
1. Is a virtual photon ZPF cutoff actually observed in the lab? - empirical question.
2. If yes, does that imply a new experimental effect of anisotropy in Lamb shift radiation as observed perhaps in angular correlation measurements on such radiation? - empirical question.
3.What is the value of the cutoff if it exists? - empirical question
4. If a virtual photon cutoff is a fact, is this evidence for non-commuting space-time? theoretical question
.....
-----Original Message-----
From: Paul Zielinski [mailto:iksnileiz@earthlink.net]
Sent: Friday, July 02, 2004 1:42 PM
To: Puthoff@aol.com
Subject: Re: Puthoff & Lorentz invariance and alleged experimental lab
ZPE cutoff
Puthoff@aol.com wrote:
In a message dated 7/2/2004 11:24:19 AM Central Daylight Time,
mdavid@spectelresearch.com writes:
.... the zero point spectrum of QED is the only Lorentz
invariant spectrum.
Indeed, as discussed in my paper, H. E. Puthoff, "Gravity as a
Zero-Point-Fluctuation Force," Phys. Rev. A 39, 2333 (1989); Phys. Rev
A 47, 3454 (1993),
"... Lorentz invariance, which derives specifically from the
spectrum's cubic dependence on frequency.
So are you saying that the standard ZPE spectrum is the *only* possible
distribution with the v^3 characteristic?
Now I'm confused.
Logically, I would have thought that the v^3 dependence of the standard
ZPE spectrum guarantees Lorentz
invariance of the distribution -- which I accept -- does not *in itself*
prove that all Lorentz invariant distributions
*must* have this dependence.
Do you have a proof that this v^3 characteristic is also a necessary
condition?
Of course, if the v^3 ZPE characteristic has been unambiguuosly
confirmed by experiment, then this is all
irrelevant.
The cubic spectrum is unique in its property that delicate
cancellations of Doppler shifts with velocity boosts leaves the
spectrum Lorentz invariant."
OK, but this leaves the logical possibility of alternative spectral
distributions that may satisfy Lorentz
invariance for different reasons -- which may have nothing to do with
Doppler cancellation.
I am not suggesting that this Doppler cancellation is not significant --
in fact I believe it is very significant.
Most interetsing of all, in my view, is that it illustrates the intimate
connection between Lorentz invariance
and the *contingent* physical characteristics of the quantum vacuum --
which raises interesting questions
(in my mind, at least) as to the true status of the Einsteinian
relativity principle
Put a cutoff in that spectrum and you destroy Lorentz
invariance.
In principle, yes. However, as discussed in my footnote 21 in the
above paper, I point out:
"The possible existence of a cutoff in quantum theory is recognized to
introduce a non-Lorentz-invariant factor, in that detection of a
Doppler-shifted cutoff frequency by a moving detector could in
principle reveal absolute motion. As pointed out in the literature,
however, [for example, by M. A. Shupe, Am. J. Phys. 53, 122 (1985)],
as long as the cutoff frequency is beyond detectability (as in the
Planck frequency in this case) there is no measurable consequence
expected of such a breakdown of Lorentz invariance at this limit of
present physical theory, either now or in the foreseeable future."
OK. So, at a minimum, assuming Lorentz invariance based on a v^3
spectrum -- which of course is the
case for the standard ZPE distribution -- a Planck scale cutoff of such
a spectrum will indeed
destroy perfect Lorentz invariance, but not to the extent that it
contradicts the results of existing
measurements.
This seems to be a little different from what Tony Smith was claiming.
Z.
Cheers,
Hal Puthoff
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