Sunday, January 02, 2005

Rewriting The Bible, The Koran And All That
The Creation
IN THE BEGINNING WAS THE BIT
IT FROM BIT

On Jan 2, 2005, at 3:36 AM, Carlos Perelman wrote:

"Dear Jack , Tony ( Brian and Gary ) :

Thank you very much for your last mails. The number 26 depicted by Brian is very curous."

Jack wrote :

Vacuum Coherence obeys a GCT covariant Landau-Ginzburg equation depending on metric guv, which, in turn, depends on the Goldstone Phase of the Vacuum Coherence in a nonlinear self-organizing feedback-control loop.

"It is very interesting that you wrote this because in my paper :

Mod. Phys. A vol 17, no. 32 ( 2002 ) 2095-2103

Anti de Sitter Gravity from BF-Chern-Simons-Higgs theoriesThe Higgs mechanism is *essential* to break the SO(3, 2 ) symmetry down to the Lorentz group SO(3,1 ). I think there is something going on definitely, which deserves to be studied further. I studied Anti de Sitter space for many reasons ( Maldacena conjecture AdS/CFT and holography ) . But I guess one could have de Sitter space as well with a future horizon ( accelerated universe ) . After all, I equated the Anti de Sitter's (de Sitter's) throat-scale-parameter with the Hubble scale radius horizon in order to derive the geometric mean relationship."

But you could have used LpR(t) instead of c/H(t) (H(t) = R(t)^-1dR(t)/dt) equally at this decision point. If you did we have essentially the same end product. The convention here is that the R(t) FRW scale factor dimensionless in FLAT k = 0 post-inflation FRW Big Bang cosmological metric

ds^2 = (cdt)^2 - R(t)^2[dr^2 + r^2(dtheta^2 + sin^2thetadphi^2)

For "now" we have essentially same number since my R(now) = 10^61, but my choice has many added advantages

1. It fits t'Hooft-Susskind World Hologram Conjecture in which the Bekenstein-Hawking ENTROPY OF THE UNIVERSE S is

S(Universe)/kB ~ R(t)^2 BITS

2. This automatically explains the Arrow of Time synchronization with Expanding Universe posed for Inflation Theory in Roger Penrose's GR 17 & Princeton lectures "Fashion, Faith and Fantasy". Since in the continuum approximation R(pre->post inflation initial singularity) = 0 OR essentially 1 BIT in a discrete lattice quantum geometry (Ashtekar & Co) i.e.

R(Creation of the Universe)/R(Now) ~ 10^-61

3. To ERASE each BIT inside the coherent vacuum i.e. reset register of cosmic computer each "chronon" 10^-44 sec with a virtual ZERO POINT QUANTUM that does have DIRECT GRAVITY EFFECT via

Guv + /\zpfguv = 0

Even though ZPF does not cause EM detector clicks it does gravitate (or anti-gravitate), i.e. Cosmological Constant Problem here solved through Vacuum Coherence of the ZPF in the Flat Conformally Symmetric False Vacuum.

4. Therefore, the TOTAL VACUUM DARK ENERGY OF THE HOLOGRAPHIC UNIVERSE is

(ENTROPY OF UNIVERSE/kB)(MEAN ZERO POINT ENERGY PER BIT) ~ R(t)^2(hc/LpR(t)) = R(t)hc/Lp

R(Now)hc/Lp = 10^61x10^-5x10^21 = 10^77 ergs

5. VACUUM DARK ENERGY DENSITY OF THE HOLOGRAPHIC UNIVERSE = R(t)(hc/Lp)(1/Lp^3R(t)^3) = (hc/Lp^4)(1/R(t))^2

VACUUM DARK ENERGY DENSITY OF UNIVERSE TODAY = 10^-5x10^21x10^99x10^-122 = 10^(117 - 122) ~ 10^-7 ergs/cm^3

Where INFLATION demands

Omega(Matter w ~ 0) + Omega(Radiation w = +1/3) + Omega(Dark Matter i.e. w = -1 mimicking w ~ 0) + Omega(Dark Energy) + Omega(Vacuum Coherence) = 1

6. Note my NEW TERM to the cosmological balance sheet Omega(Vacuum Coherence).

7. Prediction dark matter detectors will never click with The Right Stuff, i.e. dark matter is virtual w = -1 mimic of w = 0 CDM in gravity lensing.

8. Einstein's local field equation emerges from the RIGID Goldstone Phase of the Vacuum Coherence solving Andrei Sakharov's problem of 1967 with P.W. Anderson's (also 1967 - a Good Vintage Year for Physics) "More is different".

"rho ( vaccum energy density ) ~ ( L_Planck )^{ -2 } ( R_Hubble )^{ - 2 } ~

10^{ - 122 } ( Planck Mass )^4 ( that Nottale gets using Scale Relativity )

Not suprisingly, the number 10^{122 } counts the *bits* of Planck areas contained in the
Area = (R_Hubble)^2. Some authors use 10^{123}, no big change.

When you [ Jack ] visit Santa Barbara, lets talk. The reason I wanted Tony to look at this paper ( that i sent him ) is because it explains the Topological origins behind the McDowell-Mansouri formulation of Gravity that Tony likes a lot. But I do NOT set the Torsion to zero by hand like Mansouri-MacDowell did. I *derive* it ."

9. I get the topology vacuum defects directly from the local macro-quantum vacuum ODLRO order parameter as in David Thouless's book on Topological Quantum Theory, e.g. NASA Pioneer Anomaly a_g = - cH as a uniform gradient dark energy hedge

"Anyway, I had to write to Susskind, Padmanabhan, Fischler ( whom I know ) and to Zee, Banks...because these people totally ignore the previous published work of others ( Nottale, me, Jack ) in their papers. I don't know if they will ever refer to my work, Jack's or Nottale's work. At least, I told them and YOU are witnesess of it.

Happy New year

Carlos"

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