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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?
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?
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