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- Newsgroups: sci.physics
- Path: sparky!uunet!cs.utexas.edu!sun-barr!ames!pacbell.com!well!sarfatti
- From: sarfatti@well.sf.ca.us (Jack Sarfatti)
- Subject: Quantum Cosmology #1
- Message-ID: <Bt7BtA.3wz@well.sf.ca.us>
- Sender: news@well.sf.ca.us
- Organization: Whole Earth 'Lectronic Link
- Date: Tue, 18 Aug 1992 22:58:21 GMT
- Lines: 71
-
-
- 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.
-
-
-