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Quantum Geometry and Schwarzschild Singularity?

  1. Sep 20, 2005 #1
    In a recent paper Ashtekar and Bojowald:http://www.arxiv.org/abs/gr-qc/0509075
    gave details (page's 25-26) of the backwards quantum evolution of a specific process of Space-time "leaping".

    Quote from page 25: " For our quantum Einstein’s equation (55), this coefficient is given by p|τ − 2δ| +p|τ |. By inspection, it never vanishes. Therefore, the backward quantum evolution remains well defined and determines the wave function not only for τ > 0 but also in the new region
    with τ ≤ 0.
    In this precise sense, the classical black hole singularity can be traversed using quantum evolution and thus ceases to be a boundary of space-time."

    Here is a few words from their end of paper discussion:" Results of the last two sections support a general scenario that has emerged from the analysis of singularities in quantum cosmology. It suggests that the classical singularity does not represent a final frontier; the physical space-time does not end there. In the Planck regime, quantum fluctuations do indeed become so strong that the classical description breaks down. The space-time continuum of classical general relativity is replaced by discrete quantum geometry which remains regular during the transition through what was a classical singularity. Certain similarities between the Kantowski-Sachs model analyzed here and a cosmological model which has been studied in detail [10] suggest that there would be a quantum bounce to another large classical region. If this is borne out by detailed numerical calculations, one would conclude that quantum geometry in the Planck regime serves as a bridge between two large classical regions. Space-time may be much larger than general relativity has had us believe."

    So what are the consequences for zero boundary constraints?..do quantum waves transverse/emerge from below the planck limit, and carry information of a much larger "inner-inverse", Quantum-Quantum/Planck Domain?

    Are there muti-universe's contined within every single volume's of atoms?
     
    Last edited: Sep 20, 2005
  2. jcsd
  3. Sep 21, 2005 #2
    There is a lot of activity on the Brane, String/M-Theory and Loop Quantum Wave arena's.

    This beautiful thinker:http://physics.harvard.edu/randall.htm

    has been tackling "observation" limits and Observer dependance for instance:
    http://arxiv.org/abs/hep-th/0506053

    for a number of years. A recent article by Her here:http://www.edge.org/3rd_culture/randall05/randall05_index.html

    does not really give the details of the problem of Quantum"selective" Spacetime.

    What appears to be detailed within Ashtekar and Bojowald's recent expose, is that the more you discrete Relativity, or specifically a first choice "spacetime", there is a threshold at or near the Planck limit, and as you cross this limit you enter a domain on a par with Randall's, your feet so to speak, are in two-dimensional space, but your observational frame remains 'fixed' into a three-dimensional spacetime.

    So compacting along the Einstein Equational route, one starts to be reduced to a finite limit, one can allude that this is also an "observational" limit, whereby what I state here in posting #35 and 37:https://www.physicsforums.com/showthread.php?p=747712#post747712

    is actually a quantisized fact of "observational-limit". The QM, or the specific Copenhagan Intepretation, needs to factor the above scientific papers into their intepretations. In Ashtekar's paper the quantum volume of a finite space, can be emerging from within a 'Quark Volume', its value is that of a Quantum Vacuum State, or specifically an Electro-Magnetic "flux".

    What is really interesting is that the Vacuum Flux within Quantum Space/volume's, is identical to that of the Cosmological Vacuum!

    The above papers are, without actually stating the obvious, saying that String Theories and Quantum Geometry, have Macro as well as Micro origins, when one emerges from below the Quantum "hidden" scale, and derive out into the extended spacetime of Cosmos Volume, you arrive at the same Vacuum Flux Singularity, and conversely if you Travel from a Macro domain, into the Quantum Field, you do not arrive at a boundary limit Singularity.

    At a certain scale, you "hop" from 3-D spacetime to 2-D space-time without noticing any "observational" effects whatsoever?

    There are implications of this that will go a long way to explain emerging Entropic order from a "perfect" Quantum Vacuum. The Classical boundery of spacetime the Universe, has an "observational" horizon, a boundary you cannot physically "see", as it extends along 3-D spacetime, a Singularity inside this boundary, can be breached and transversed.

    If you choose to approach a Blackhole Singularity, you are Cosmologically Compacting and Transversing in a "MACRO" to "MICRO" format, 3-D to 2-D converging at the Event Horizon at a finite discrete limit, you would emerge, into another "Universe", and whatsmore you would pop into existence, from a Quark-Soup, that may or may not be in a bowl, standing/cooling on the back of a Leatherback Turtle, who works 9 till 5 in a local chippie ?:rolleyes:

    I think not :bugeye:
     
  4. Sep 21, 2005 #3
    It may be that the rush of recent papers are in direct competition with the upcoming Loop Conference, trying to 'invoke' a "next" move stimilation?..or just getting their own back on the recent string conference, that coincedently had a large number of LQG papers just prior to the conference opening date!
     
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