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Impact of EUP correction on thermodynamics of AdS black hole EUP修正对AdS黑洞热力学的影响
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-20 DOI: 10.1016/j.aop.2025.170002
C.S. Varsha , V. Venkatesha , N.S. Kavya , Dharm Veer Singh
{"title":"Impact of EUP correction on thermodynamics of AdS black hole","authors":"C.S. Varsha ,&nbsp;V. Venkatesha ,&nbsp;N.S. Kavya ,&nbsp;Dharm Veer Singh","doi":"10.1016/j.aop.2025.170002","DOIUrl":"10.1016/j.aop.2025.170002","url":null,"abstract":"<div><div>In this paper, we investigate the effect of the extended uncertainty principle (EUP) on the thermodynamic properties and stability of a charged black hole in a <span><math><mrow><mn>4</mn><mi>D</mi></mrow></math></span> Einstein–Gauss–Bonnet gravity in Anti-de Sitter (<span><math><mrow><mi>A</mi><mi>d</mi><mi>S</mi></mrow></math></span>) spacetime. We investigate the thermodynamic quantities (Mass, Hawking temperature, and entropy) associated with a quantum-corrected black hole. We compute the heat capacity and the Gibbs free energy, expressed in terms of horizon radii, to examine the local and global thermodynamic stability of black holes. The heat capacity, denoted by <span><math><msub><mrow><mi>C</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span>, diverges twice at a critical radius <span><math><mrow><mi>r</mi><mo>=</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> when the temperature reaches a maximum (minimum). For <span><math><mrow><msub><mrow><mi>r</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>&lt;</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, <span><math><mrow><msub><mrow><mi>C</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>&gt;</mo><mn>0</mn></mrow></math></span> and <span><math><mrow><msub><mrow><mi>G</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>&lt;</mo><mn>0</mn></mrow></math></span>, enabling the smaller black hole to attain local stability (global stability). A subsequent Hawking-Page transition is observed between the smaller black hole and thermal <span><math><mrow><mi>A</mi><mi>d</mi><mi>S</mi></mrow></math></span> space. The EUP correction significantly impacts larger black holes but has little effect on smaller ones. Furthermore, we analyze the thermodynamics of the EUP-corrected black hole modified in an extended phase space, where the cosmological constant is interpreted as the thermodynamic pressure <span><math><mrow><mo>(</mo><mi>Λ</mi><mo>=</mo><mo>−</mo><mn>8</mn><mi>π</mi><mi>P</mi><mo>)</mo></mrow></math></span>. We calculated the critical values of the thermodynamic variables for fixed values of <span><math><mi>α</mi></math></span> and <span><math><mi>β</mi></math></span> and drawn the <span><math><mrow><mi>P</mi><mo>−</mo><mi>v</mi></mrow></math></span> diagram. Furthermore, we examine first and second-order phase transitions by analyzing the behavior of Gibbs’s free energy–temperature plot. Below the critical point (critical pressure), a first-order phase transition is observable, concluding at the critical point, where the phase transition becomes second-order. The equation of state and critical points for black holes are analyzed, revealing similarities to those of the Van der Waals fluid.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 170002"},"PeriodicalIF":3.0,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comment on “A path integral over Hilbert space for quantum mechanics” 对“量子力学希尔伯特空间上的路径积分”的评析
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-20 DOI: 10.1016/j.aop.2025.170004
Daniel P. Arovas , Anupam Garg
{"title":"Comment on “A path integral over Hilbert space for quantum mechanics”","authors":"Daniel P. Arovas ,&nbsp;Anupam Garg","doi":"10.1016/j.aop.2025.170004","DOIUrl":"10.1016/j.aop.2025.170004","url":null,"abstract":"<div><div>Donadi and Hossenfelder claim to have constructed a novel path integral over Hilbert space that reproduces quantum mechanics exactly. We contend that this claim is untenable, as they have given merely a definition of a certain quantity (which they call a path integral) without any way of actually calculating it.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 170004"},"PeriodicalIF":3.0,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shadow analysis and light deflection in charged Finslerian Kiselev black holes under spherical accretion 球形吸积下带电芬斯勒基塞列夫黑洞的阴影分析和光偏转
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-20 DOI: 10.1016/j.aop.2025.170005
Manjunath Malligawad , S.K. Narasimhamurthy , Z. Nekouee , B.R. Yashwanth
{"title":"Shadow analysis and light deflection in charged Finslerian Kiselev black holes under spherical accretion","authors":"Manjunath Malligawad ,&nbsp;S.K. Narasimhamurthy ,&nbsp;Z. Nekouee ,&nbsp;B.R. Yashwanth","doi":"10.1016/j.aop.2025.170005","DOIUrl":"10.1016/j.aop.2025.170005","url":null,"abstract":"<div><div>This paper investigates the charged Kiselev black hole by utilizing the extended framework of Finsler geometry with non-commutative geometry. Central to our analysis are the Finslerian parameters, which profoundly influence the geodesic motion of particles in the black hole’s vicinity. We also examine other critical parameters, including charge and non-commutative geometry effects, which modify the standard black hole solutions through smeared mass distributions and the incorporation of Finslerian characteristics <span><math><mi>η</mi></math></span>. The study extends to spherical accretion scenarios around the charged Finsler Kiselev black hole, analyzing how different accretion models impact the black hole’s growth and the surrounding matter dynamics. Additionally, we explore the optical signatures of these black holes, such as their shadows and light deflection patterns, to provide a comprehensive understanding of their interaction with nearby matter and radiation. This research provides new insights into black hole physics, especially in regimes where quantum gravitational effects and non-trivial space–time structures are influential.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 170005"},"PeriodicalIF":3.0,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
General semi-rational solutions in the (2+1)-dimensional three-wave resonant interactions (2+1)维三波共振相互作用的一般半有理解
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-19 DOI: 10.1016/j.aop.2025.170000
Xue-Wei Yan, Yong Chen
{"title":"General semi-rational solutions in the (2+1)-dimensional three-wave resonant interactions","authors":"Xue-Wei Yan,&nbsp;Yong Chen","doi":"10.1016/j.aop.2025.170000","DOIUrl":"10.1016/j.aop.2025.170000","url":null,"abstract":"<div><div>In this paper, we study the general semi-rational solutions of the (2+1)-dimensional three-wave resonant interactions via the Hirota’s bilinear method and Kadomtsev–Petviashvili (KP) reduction method. There exist plenty of novel collision behaviors of nonlinear waves in the systems. The collision behaviors mainly contain the resonant collisions and elastic collisions between rational waves, multi-line-solitons and multi-breathers. The resonant collisions are divided into the partial and complete resonant collisions determined by the localization features of the waves in time evolution. Partial resonant collision describes the fission, fussion processes of rational waves in the line-soliton or breather backgrounds, which is semi-localized in time. Complete resonant collision describes the rational waves appearing and disappearing in the multi-line-soliton or multi-breather backgrounds for a short time, which is fully localized in time. The elastic collision is a passable propagation behavior remaining shape and amplitude in time evolution. Furthermore, we also display the interaction behaviors of multi-breathers among themselves and with multi-line-solitons. These results greatly enrich the dynamics of nonlinear waves in the semi-rational solutions for high-dimensional nonlinear interaction systems.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170000"},"PeriodicalIF":3.0,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Temperature inhomogeneity in non-equilibrium field theory for electrons in a nanowire: Thermodynamic and transport properties 纳米线中电子非平衡场论中的温度不均匀性:热力学和输运性质
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-19 DOI: 10.1016/j.aop.2025.169996
Yuan Gao, K.A. Muttalib
{"title":"Temperature inhomogeneity in non-equilibrium field theory for electrons in a nanowire: Thermodynamic and transport properties","authors":"Yuan Gao,&nbsp;K.A. Muttalib","doi":"10.1016/j.aop.2025.169996","DOIUrl":"10.1016/j.aop.2025.169996","url":null,"abstract":"<div><div>A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties of a boundary-driven open quantum system. Starting with a temperature-dependent pseudo free energy derived from an exact reduced density matrix and assuming a small temperature gradient <span><math><mi>γ</mi></math></span> across the wire, we show within perturbation theory that electron dispersion relation and therefore the Fermi distribution becomes <span><math><mi>γ</mi></math></span> and space coordinates dependent, leading to non-linear effects of the temperature inhomogeneity. In particular, we show that in the non-linear response regime, the Widemann–Franz Law for the ratio of thermal and electrical conductivities is generalized, and that the thermopower increases with increasing temperature gradient <span><math><mi>γ</mi></math></span>.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169996"},"PeriodicalIF":3.0,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transmission and quasinormal modes of massive vector field in (2+1)-dimensional static wormhole in vacuum 真空(2+1)维静态虫洞中大质量矢量场的传输和准正态模态
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-14 DOI: 10.1016/j.aop.2025.169995
Andrés G. Jirón , Angel E. Obispo , Cristofher Z. Vargas , Teófilo Vargas , César O.V. Flores
{"title":"Transmission and quasinormal modes of massive vector field in (2+1)-dimensional static wormhole in vacuum","authors":"Andrés G. Jirón ,&nbsp;Angel E. Obispo ,&nbsp;Cristofher Z. Vargas ,&nbsp;Teófilo Vargas ,&nbsp;César O.V. Flores","doi":"10.1016/j.aop.2025.169995","DOIUrl":"10.1016/j.aop.2025.169995","url":null,"abstract":"<div><div>This investigation examines the behavior of a massive vector field in the context of a 2+1-dimensional static wormhole in vacuum, with a focus on both transmission characteristics and quasinormal modes (QNMs). Using the Duffin–Kemmer–Petiau (DKP) equation to describe the massive vector field, analytical expressions for the transmission coefficients are derived, and the QNMs are identified as the complex poles of these coefficients. The analysis demonstrates that the transmission varies significantly with the angular momentum and throat and curvature radii of the wormhole, with <span><math><mrow><mi>ℓ</mi><mo>=</mo><mn>0</mn></mrow></math></span> modes exhibiting higher transmission rates. Regarding the QNMs, it was shown that for <span><math><mrow><mi>ℓ</mi><mo>=</mo><mn>0</mn></mrow></math></span>, the system can transition between evanescent and propagative modes depending on the mass threshold of the vector field. However, for <span><math><mrow><mi>ℓ</mi><mo>≥</mo><mn>1</mn></mrow></math></span>, the system, in addition to exhibiting long-lived modes when the mass is large, does not exhibit anomalous behavior in the decay rate for any overtone value. These findings provide insights into the response dynamics of static wormholes in vacuum under perturbations of massive vector fields, contributing to a more comprehensive understanding of exotic space-time geometries.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169995"},"PeriodicalIF":3.0,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new representation of vacuum Lovelock solutions in d=2N+1 dimensions: Black holes with an integrable singularity and regular black holes d=2N+1维真空Lovelock解的新表示:具有可积奇点的黑洞和规则黑洞
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-13 DOI: 10.1016/j.aop.2025.169985
Milko Estrada
{"title":"A new representation of vacuum Lovelock solutions in d=2N+1 dimensions: Black holes with an integrable singularity and regular black holes","authors":"Milko Estrada","doi":"10.1016/j.aop.2025.169985","DOIUrl":"10.1016/j.aop.2025.169985","url":null,"abstract":"<div><div>In recent years, black hole (BH) solutions with an integrable singularity have garnered significant attention as alternatives to regular black holes (RBH). In these models, similarly to RBHs, an object would not undergo spaghettification when approaching the radial origin. Instead of the potentially unstable de Sitter core present in RBHs, an integrable singularity emerges where the Ricci scalar diverges while its volume integral remains finite. However, the construction of both RBH solutions and BHs with an integrable singularity typically requires the inclusion of specific forms of matter in the energy–momentum tensor. We demonstrate that, from a geometric perspective in the absence of matter, vacuum solutions in Lovelock gravity in <span><math><mrow><mi>d</mi><mo>=</mo><mn>2</mn><mi>N</mi><mo>+</mo><mn>1</mn></mrow></math></span> dimensions can be represented as vacuum BHs with an integrable singularity in Einstein–Gauss–Bonnet theory for <span><math><mrow><mi>d</mi><mo>=</mo><mn>5</mn></mrow></math></span> and in cubic gravity for <span><math><mrow><mi>d</mi><mo>=</mo><mn>7</mn></mrow></math></span>. Meanwhile, the vacuum solution in quartic gravity in <span><math><mrow><mi>d</mi><mo>=</mo><mn>9</mn></mrow></math></span> is described as a vacuum RBH with a nontrivial hyperboloidal cross-section. For all the aforementioned cases, we have determined the conditions that the parameters in the solutions must satisfy. Remarkably, in all discussed cases, there is no presence of an internal horizon near a potentially unstable de Sitter core.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169985"},"PeriodicalIF":3.0,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the time-dependent Aharonov–Bohm effect and the 4-dimensional Stokes theorem 时变Aharonov-Bohm效应与四维Stokes定理
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-12 DOI: 10.1016/j.aop.2025.169984
Masashi Wakamatsu
{"title":"On the time-dependent Aharonov–Bohm effect and the 4-dimensional Stokes theorem","authors":"Masashi Wakamatsu","doi":"10.1016/j.aop.2025.169984","DOIUrl":"10.1016/j.aop.2025.169984","url":null,"abstract":"<div><div>The time-dependent Aharonov–Bohm (AB) effect considers the situation in which the magnetic flux inside the solenoid changes time-dependently. Different from the standard AB-effect, the problem is unexpectedly subtle and not easy to solve without any doubt, which is the reason why it is still in a state of unsettlement even theoretically. The difficulty originates from the fact that its theoretical analysis requires line-integrals of the time-dependent vector potential along paths in the 4-dimensional Minkowski space. Owing to the 4-dimensional Stokes theorem, this closed line-integral of the vector potential can be related to the integral of the electric and magnetic fields over the 2-dimensional area, the boundary of which is given by the above-mentioned closed path. The central controversy concerns the success or failure of the claim by Singleton and collaborators based on the 4-dimensional Stokes theorem, which states that the time-dependent part of the AB-phase shift due to the magnetic vector potential is precisely cancelled by the effect of induced electric field generated by the time-variation of the magnetic flux. In the present paper, we carefully reanalyze their cancellation argument by going back to the basic quantum mechanical analysis of the charged particle motion under the presence of the time-dependent external electromagnetic potential combined with more careful treatment of the 4-dimensional Stokes theorem. Careful analysis of the 4-dimensional Stokes theorem shows that the cancellation argument by Singleton et al. is partially correct but their central claim that only the time-independent part of the magnetic field contributes to the AB-phase shift so that there is no time-dependent AB-effect is not justified, thereby supporting likely existence of the time-dependent AB-effect.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169984"},"PeriodicalIF":3.0,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Buchdahl bound denotes the geometrical Virial theorem 布赫达尔界表示几何维里定理
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-11 DOI: 10.1016/j.aop.2025.169986
Naresh Dadhich , Rituparno Goswami , Chevarra Hansraj
{"title":"The Buchdahl bound denotes the geometrical Virial theorem","authors":"Naresh Dadhich ,&nbsp;Rituparno Goswami ,&nbsp;Chevarra Hansraj","doi":"10.1016/j.aop.2025.169986","DOIUrl":"10.1016/j.aop.2025.169986","url":null,"abstract":"<div><div>In this paper we provide a concrete model-independent geometrical framework for the Buchdahl limit in general relativity and show that the Buchdahl limit is equivalent to a relativistic version of the Newtonian Virial theorem. Moreover we explicitly provide a mechanism by which a star can continue to stay in Virial equilibrium via continuous radiation.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169986"},"PeriodicalIF":3.0,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143637119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum gravitational corrections to a Kerr black hole using Topos theory 利用Topos理论对克尔黑洞进行量子引力修正
IF 3 3区 物理与天体物理
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
{"title":"Quantum gravitational corrections to a Kerr black hole using Topos theory","authors":"Behnam Pourhassan ,&nbsp;Xiaoping Shi ,&nbsp;Salman Sajad Wani ,&nbsp;Saif Al-Kuwari ,&nbsp;İzzet Sakallı ,&nbsp;Naveed Ahmad Shah ,&nbsp;Mir Faizal ,&nbsp;Arshid Shabir","doi":"10.1016/j.aop.2025.169983","DOIUrl":"10.1016/j.aop.2025.169983","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"477 ","pages":"Article 169983"},"PeriodicalIF":3.0,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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