Possibilities of Emerging Quantum-Conditioned Curvatures and Attenuating Space Singularity in Spacetime Surrounding Kerr Black Hole
Abstract
When applying the geometric quantization ansatz that focuses on quantizing the fundamental metric tensor to the reformulation of general relativity, eigencurvatures emerge at low (quantum) scales. They are distinct from the standard curvatures that manifest gravitational sources in conventional general relativity. The analytical and numerical evolution of timelike geodesic congruence expansion in the spacetime surrounding rotating, massive, non-charged, and axially symmetric Kerr black hole is introduced. This facilitates the assessment of whether the space singularity continues to exist or diminishes at low (quantum) scales. Furthermore, the characteristics of the quantum-conditioned curvatures can be defined by means of the Kretschmann invariant scalar. We conclude that the space singularity can be regulated by the proposed quantization approach. Moreover, the quantum-conditioned curvatures that arise in Kerr spacetime are genuinely real, essential, and intrinsic. They cannot be classified as artifacts in any coordinate systems, whether known or yet to be found.
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