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The Status of Geometry and Matter in the Reinterpreted WdW Equation

This paper shows that the field defined by the Wheeler–DeWitt equation for pure gravity is neither a standard gravitational field nor the field representing a particular universe. The theory offers a unified description of geometry and matter, with geometry being fundamental. The quantum theory poss...

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Bibliographic Details
Published in:Physical sciences forum 2023-03, Vol.7 (1), p.37
Main Author: Avadhut V. Purohit
Format: Article
Language:English
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Summary:This paper shows that the field defined by the Wheeler–DeWitt equation for pure gravity is neither a standard gravitational field nor the field representing a particular universe. The theory offers a unified description of geometry and matter, with geometry being fundamental. The quantum theory possesses gravitational decoherence when the signature of R(3) changes. The quantum theory resolves singularities dynamically. Application to the FLRW κ=0 shows the creation of local geometries during quantum evolution. The 3-metric is modified near the classical singularity in the case of the Schwarzschild geometry.
ISSN:2673-9984
DOI:10.3390/ECU2023-14097