From: sarfatti@well.sf.ca.us (Jack Sarfatti)
Subject: Quantum Cosmology #1
Organization: Whole Earth 'Lectronic Link
Date: Tue, 18 Aug 1992 22:58:21 GMT


Quantum Cosmology #1
Excerpts from Hawking's "The Boundary Conditions of the Universe"
#1 Hawking uses imaginary time "the Euclidean approach" to "evaluate the
path integral for quantum gravity over positive definite metrics. If one
took these metrics to be compact, one would avoid the need to specify any
boundary conditions for the universe. This approach might explain why the
apparent cosmological constant is zero, why the universe is spatially flat,
and why it was in thermal equilibrium at early times."

Hawking pictures the quantum gravity "cosmic egg" as a four-dimensional
sphere in imaginary time. Its "cracking" creates real time and the Big
Bang.

#2 "the causal structure of spacetime may be very different from that of
flat space. There may be closed or almost closed time-like curves... In
this case the data on a space-like surface would have to be such that it
reproduced itself exactly after a certain interval. This would be a
stringent requirement which might have only one or a small number of
solutions. I shall return to this kind of idea as a way of getting rid of
boundary conditions."

#3  "We ... have to explain why the universe started off:
a) spatially homogeneous and isotropic
b) in thermal equilibrium
c) spatially flat, i.e., with the kinetic energy of expansion exactly
balanced by the negative gravitational potential energy.
d) with small initial perturbations which gave rise to galaxies and other
inhomgeneities we observe in the universe today.
... property c) would seem to require extremely fine tuning and we do not
have any good explanation for property d)."

#4 "I believe that black holes evaporate completely... there must be a
naked singularity when the [mini] blackhole finally disappears... this ...
will mean that spacetime is not globally hyperbolic. One would have
expected this anyway because of quantum fluctuations of the light cone."

#5 "This positive definite metric does not, however, explain why the
universe should have started off in thermal equilibrium at high
temperature, if indeed it did.... One might imagine that spacetime would
display a 'foam-like' or even a fractal structure on these length scales
[Planck 10^-33 cm]"

#6 " The complicated topology of the spacetime foam will mean that
spacetime will not have the normal causal properties such as propagation
only within the light cone and global hyperbolicity. These acausal effects
will not be noticeable at low energis but will be important near the Big
Bang."

#7 "One can think of the foam as being made up a virtual blackholes which
appear and disappear in about a Planck time, 10^-43 seconds. ... very high
energy particles will be able to fall into these virtual blackholes and
will be re-emitted as particles of other species. This will mean that the
universe will necessarily be in thermal equilibrium at the Planck time."

#8 "The acausal properties of the spacetime foam might explain why the
universe started off spatially homogeneous and isotropic even though
different regions were not in causal contact according to the classical
metric. This might also be a way of avoiding the production of too many
monopoles."

Note if the virtual black holes in the foam are spinning with discrete spin
states. If communication on the spin connection is possible (e.g. cosB = 1
or -1 for 50-50 recombiner at transmitter in acausal communication
gedankenexperiment). Then virtual spinning quantum blackholes are
"switches" nonlocally or topologically connected together beyond metric
which does not even exist then - so we have a cosmic brain beyond space-
time in imaginary time whose bit patterns are the Mind of God - an
Intelligent Quantum Foam in Imaginary Time.


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