Black hole entropy and arrow of time

Jack Sarfatti wrote:
Penrose conjectures that the entropy of the vacuum geometrodynamical
field is proportional to it's conformal curvature. This is still not a
precise statement of course. "Wood" (Einstein) sources, i.e. Tuv create
local Ricci curvature. Apparently the FLRW cosmological metric has zero
conformal "Marble" (Einstein) curvature and it has a "cosmological
fluid" everywhere when. On the other hand, the event horizon of a vacuum
black hole is only conformal curvature and it has entropy S according to
the Bekenstein formula

S = A/4

A = 4pi(2M)^2 = area of event horizon of the SSS black hole.

Lp^2 = 1

in Planck units where h = c = G = kB = 1

This can be generalized to the rotating Kerr metric.

Therefore, one reason to reject an SSS solution to GR with a singular
point source Tuv and a timelike NAKED future singularity is that it has
no entropy. If all future singularities were naked then the second law
of thermodynamics might not be possible.

Penrose's idea for the cosmic arrow of time is that the Big Bang has
zero gravity entropy because all the curvature from it is Ricci
curvature. Even the dark zero point energy makes only Ricci curvature.
Ordinary matter is only ~ 4% of all the stuff so that the usual stat
mech arguments for increasing phase space volumes in say kinetic theory
of gases cannot explain the actual cosmic arrow of time.

But the arrow of time depends 100% on the obvious fact
that the 4% of the universe that is matter, is the only
part of the universe that has a half-life grreater than
h, in rmeasured units, where h=10^(-100,000,000,000,000,000)

Where you have 200,000,0000 galaxies, rather than 1.



Matter is a
relatively small effect. The largest effect is from the increase in
gravity entropy as the conformal curvature of the universe increases
from black hole event horizon formation. That is, there is a close
connection between cosmic censorship and the second law of
thermodynamics for the universe as a whole. The final singularities of
clumping matter have large entropy from the future event horizons. In
contrast, the initial Big Bang singularity has zero entropy.