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arXiv · 1910.13217

The status of geometry and matter in re-interpreted WdW equation

Avadhut V. Purohit
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Abstract

I have shown that the field defined by the Wheeler-DeWitt equation for \textit{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 $\kappa=0$ shows the creation of local geometries during quantum evolution. The 3-metric gets modified near the classical singularity in the case of the Schwarzschild geometry.

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Avadhut V. Purohit. 2019-10-29. The status of geometry and matter in re-interpreted WdW equation. https://doi.org/10.3390/ecu2023-14097

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