why dark energy density is small

On Sep 13, 2007, at 5:26 PM, Jack Sarfatti wrote:

Our early universe has low entropy compared to present universe. Sir
Roger Penrose says this is a big problem for inflation theory - it's the
Arrow of Time problem - why irreversible aging is in same sense as
expansion of 3D space with dark energy speeding up of that cosmic expansion.

Our past universe post-inflation is not de Sitter. Our future universe
is de Sitter with

/\ ~ 1/NLp^2

N ~ 10^122 Bekenstein bits.

This gives the actually observed large-scale dark energy density

10^-29 grams/cc ~ (10^-2cm)^-4 ~ hc/NLp^4

note that NLp^4 = (Geometric mean of smallest Planck scale with largest
future Omega deSitter horizon scale)^4

i.e. 10^-2 cm ~ (10^-33 cm 10^28 cm)^1/2

this is precisely what we expect from the retro-causal world hologram in
which 3D space at our moments of perception of our entire pocket
universe on the landscape is simply a hologram image of the future 2D
deSitter horizon.

World hologram says that N area bits on the surrounding horizon are 1-1
with N interior "volume without volume" BITs.

i.e. &L ~ N^-1/6 Lp

L ~ N^1/2Lp

L^3 ~ N^3/2Lp^3

&L^3 ~ N^1/2Lp^3

L^3/&L^3 = N^3/2/N^1/2 = N

where &L^3 = volume-without-volume of quantum gravity foam bubble.
Exactly N bubbles for N area quanta - 1-1. This is the fundamental
physical meaning of the "world hologram".

In this case the horizon is not a closed spacelike surrounding 2D
surface on a 3D spacelike slice of spacetime, but is the 2D de Sitter
horizon of our future light cone of our detectors. That is, all the
converging blue-shifted advanced null signals on our telescopes and
other advanced signals back to the moment of inflation. The future dark
energy created de Sitter horizon is the world hologram. See figure 19
(i) p. 130 "causal diamond" of Hawking & Ellis "The large-scale
Structure of space-time" for a Penrose diagram picture of what I am
talking about. I mean the upper half of (i).

This solves Penrose's problem with inflation since retro-causal
measurement lowers the entropy of the past object (Alpha inflation)
being measured and raises the entropy of the future measuring apparatus
(G. Moddell, AAAS USD Retrocausality Workshop, June 2006) - Omega (far
future de Sitter horizon) - Alpha (inflation phase transition) form a
globally consistent Novikov loop of self-creation.

On Sep 13, 2007, at 4:41 PM, Jack Sarfatti wrote:

PS Also Paul what you have been looking for is natural in this tetrad
substratum. It is not natural on the metric tensor/Levi-Civita
connection level because of bilinear tetrad cross terms.

Complete Einstein-Cartan tetrad is

e^a = I^a + B^a

Where B^a is the intrinsic curvature tetrad field - without committing
to my specific hologram model where

B^a -- N^-1/3A^a

N = (Closed Surrounding Horizon 2D Surface)/4Lp^2 Bekenstein's formula

No perturbation theory on background dependent Minkowski spacetime is
implied here. That's a Red Herring. My model is background-independent
in Lee Smolin's sense.

Nothing I say demands B^a I^a as in perturbation theory.

I^a has all the inertial force effects of non-geodesic frames in
Minkowski spacetime.

Note that

T^a(Minkowski) = dI^a + w^abcI^b/\I^c = 0 zero torsion 2-form in
Minkowski spacetime

and

R^a^b(Minkowski) = d(w^a^bcI^c) + w^ac'cI^c'/\w^b^cc"I^c" = 0 zero
curvature 2-form in Minkowski spacetime

However, cross terms I^a with A^b occur in the general case mixing
inertial with intrinsic effects.

On Sep 13, 2007, at 4:21 PM, Jack Sarfatti wrote:


On Sep 13, 2007, at 12:12 PM, Paul Zielinski wrote:

Jack Sarfatti wrote:
The A^a q-number part is still emergent, it's just that it is the
residual q-number random zero point part.
OK, but then how can you say that this part is equivalent to a quantized
Yang-Mills field of the kind considered
by t'Hooft, for purposes of renormalization?

Because it has a very similar formal structure to the internal symmetry
Yang-Mills quantum field operators.

Positive frequency part creates a q-number A^a quantum out of the
coherent c-number A^a condensate. Negative frequency part puts a quantum
back into the c-number condensate etc. 2 independent polarizations if
massless etc.

Let's just look at the intrinsic q-part, there is a natural "Yang-Mills"
field 2-form

F^a = dA^a + w^ac'cA^c'/\A^c

With Lagrangian density 0-form ~ *[(1/4)*F^a/\Fa]

Note that A^a = A^a(condensate c-number) + A^a(q-number)

so that the bare Hamiltonian from the Lagrangian has quartic terms. Thus
is same formal structure as in Yang-Mills.

Think of sound waves in a crystal. Sound, like gravity and torsion, is
an emergent collective phenomenon out of the individual lattice atoms
right? You can have "classical" "condensate" sound waves (many phonons
in same momentum state - I mean narrow wave packet), but also you can
detect "particle" like phonon quantum effects in the fluctuations - but
the phonon itself is a collective object out of the atomic substratum.
And these phonon quantum effects can be treated as manifestations of an
"emergent" quantized field?
Is that what you mean?

Yes. Sound is an emergent collective phenomenon. At low intensities you
get quantum fluctuations - phonon analog to quantum optics effects
Poisson noise, sub-Poisson et-al. Sound has both classical wavelike
properties and quantized particle phonon properties for different kinds
of experiments. I am saying that both intrinsic tetrad curvature ~ A^a
and intrinsic torsion ~ w^a^bcA^c are both collective emergent both
c-number and q-number like sound is. Sakharov basically had this idea in
1967 though not as detailed.

Note I suppress the possible model-dependent "hologram" N^-1/3 coupling
factors and pure Minkowski I^a terms in the above rough heuristics,