| Name: Harpreet Singh |
| Affiliation: IIT Guwahati |
| Conference ID: ASI2026_816 |
| Title: Quantum Aspects of Spacetime Curvature in the Interior of Black Holes |
| Abstract Type: Poster |
| Abstract Category: High Energy Phenomena, Fundamental Physics and Astronomy |
| Author(s) and Co-Author(s) with Affiliation: Harpreet Singh(IIT Guwahati) |
| Abstract: In this talk, we investigate the quantum nature of the Kretschmann invariant in the deep quantum regime that dominates the vicinity of a black hole singularity. To address the difficulties associated with defining a quantum operator corresponding to the Kretschmann invariant, we adopt the Bohmian interpretation of quantum mechanics applied to the Wheeler-DeWitt equation. This equation arises from a Kantowski-Sachs description of the black hole interior.
Using regular wave functions obtained from solutions of the Wheeler-DeWitt equation, we evaluate the expectation value of the Kretschmann operator. Our results show that this expectation value remains well behaved in the deep quantum regime within restricted subregions of the configuration space, characterized by the eigenvalues of the underlying operators.
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