Singularity avoidance from path integral

Abstract We have demonstrated that the wavefunction describing the quantum nature of the spacetime inside the black hole horizon, vanishes near the singularity, using the path integral formalism. This is akin to the DeWitt criterion, applied to the interior of a Schwarzschild black hole. To achieve the same we have expressed the interior of a Schwarzschild black hole as a Kantowski-Sachs spacetime and have applied the minisuperspace formalism to determine an exact form of the propagator, and hence the wavefunction near the singularity, using path integral over the reduced phase space. It is to be emphasized that our result is exact and not a saddle point approximation to the path integral.

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Publication Details

Journal
Journal of Cosmology and Astroparticle Physics
Published
2025-03-01
DOI
https://doi.org/10.1088/1475-7516/2025/03/032
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
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article

Singularity avoidance from path integral

Sumanta Chakraborty, Ribhu Paul
Journal of Cosmology and Astroparticle Physics
Black Holes and Theoretical Physics
article

Singularity avoidance from path integral

Sumanta Chakraborty, Ribhu Paul
article en

Abstract

Abstract We have demonstrated that the wavefunction describing the quantum nature of the spacetime inside the black hole horizon, vanishes near the singularity, using the path integral formalism. This is akin to the DeWitt criterion, applied to the interior of a Schwarzschild black hole. To achieve the same we have expressed the interior of a Schwarzschild black hole as a Kantowski-Sachs spacetime and have applied the minisuperspace formalism to determine an exact form of the propagator, and hence the wavefunction near the singularity, using path integral over the reduced phase space. It is to be emphasized that our result is exact and not a saddle point approximation to the path integral.

Journal of Cosmology and Astroparticle PhysicsVol. 2025(03)
Indian Association for the Cultivation of Science (IN)
Openalex Percentile: Top 97%
Black Holes and Theoretical Physics
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