Quantum gravitational corrections to a Kerr black hole using Topos theory

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2025-03-10 DOI:10.1016/j.aop.2025.169983
Behnam Pourhassan , Xiaoping Shi , Salman Sajad Wani , Saif Al-Kuwari , İzzet Sakallı , Naveed Ahmad Shah , Mir Faizal , Arshid Shabir
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Abstract

We examine non-perturbative quantum gravitational corrections to a Kerr black hole using Topos theory. Black hole thermodynamics is modeled using sheaves, and these corrections are represented as additional morphisms on these sheaves. These corrections are thus expressed as intrinsic structural modifications modeled by these new morphisms, allowing both the original and quantum gravitationally corrected structures to exist within the same Topos. We also construct a functor between thermodynamics and information theory by using the Parikh–Wilczek formalism to represent the probability density of emitted particles as sheaves. Then, using the Kullback–Leibler divergence as another functor, we measure deviations of the quantum gravitationally corrected sheaves from the original sheaves. To obtain information about the modifications produced by quantum gravity, we construct an additional functor representing Fisher information. Topos theory provides a formalism that allowing us to study properties of the system in classical spacetime as well as cases where the classical spacetime breaks down near the Planck scale. This formulation reveals a novel information paradox in the ultraviolet regime of quantum gravity, where not only does information about particle states become inaccessible, but even information about the quantum gravitational modifications themselves becomes computationally unobtainable.
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
期刊最新文献
On the time-dependent Aharonov–Bohm effect and the 4-dimensional Stokes theorem Quantum gravitational corrections to a Kerr black hole using Topos theory An insight into holographic inflation under different cosmological settings through rigorous analysis of EoS parameter Editorial Board Quantum systems coupled to environments via mean field interactions
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