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Quantum gravitational corrections to a Kerr black hole using Topos theory
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
An insight into holographic inflation under different cosmological settings through rigorous analysis of EoS parameter
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-08 DOI: 10.1016/j.aop.2025.169982
Moli Ghosh , Surajit Chattopadhyay , Ertan Güdekli
{"title":"An insight into holographic inflation under different cosmological settings through rigorous analysis of EoS parameter","authors":"Moli Ghosh ,&nbsp;Surajit Chattopadhyay ,&nbsp;Ertan Güdekli","doi":"10.1016/j.aop.2025.169982","DOIUrl":"10.1016/j.aop.2025.169982","url":null,"abstract":"<div><div>The unification of early and late-time universe in the background of holographic fluid is proposed. The study’s first phase examines whether or not the four models based on the scale factor power law, intermediate, logamediate, and emergent, can derive inflationary conditions. In the study’s second phase, the Equation of State parameter is reconstructed, and the behavior of the Equation of State parameter is analyzed. Finally, we have concluded that the four models under consideration are consistent with the inflationary conditions, as they can derive inflation in the presence of a holographic fluid. The study further reveals that in the late-time scenario for power law, intermediate, and emergent cases, the equation of state parameter remains in the phantom era at present, which aligns with observational data. Also, statefinder diagnostics have been discussed for the attainability of <span><math><mi>Λ</mi></math></span>CDM fixed point.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169982"},"PeriodicalIF":3.0,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628391","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
Quantum systems coupled to environments via mean field interactions
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-04 DOI: 10.1016/j.aop.2025.169981
Michele Fantechi , Marco Merkli
{"title":"Quantum systems coupled to environments via mean field interactions","authors":"Michele Fantechi ,&nbsp;Marco Merkli","doi":"10.1016/j.aop.2025.169981","DOIUrl":"10.1016/j.aop.2025.169981","url":null,"abstract":"<div><div>We show that when a quantum system is coupled to an environment in a mean field way, then its effective dynamics is governed by a unitary group with a time-dependent Hamiltonian. The time-dependent modification of the bare system Hamiltonian is given by an explicit term involving the reservoir state. We show that entanglement within the system state is not changed during the dynamics. Our results hold for arbitrary strengths of the system-environment coupling, and for finite or infinite dimensional systems. As an application we show that the qualitative dynamical features of an <span><math><mi>N</mi></math></span>-body system can be altered drastically by the contact with the environment. For instance, a system having bound states only (point spectrum) can turn into a system with only scattering states (continuous spectrum) and vice-versa.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169981"},"PeriodicalIF":3.0,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143580553","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
A new approach for calculation of quasi-normal modes and topological charges of regular black holes
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-02 DOI: 10.1016/j.aop.2025.169980
M.Y. Zhang , F. Hosseinifar , H. Chen , T. Sathiyaraj , H. Hassanabadi
{"title":"A new approach for calculation of quasi-normal modes and topological charges of regular black holes","authors":"M.Y. Zhang ,&nbsp;F. Hosseinifar ,&nbsp;H. Chen ,&nbsp;T. Sathiyaraj ,&nbsp;H. Hassanabadi","doi":"10.1016/j.aop.2025.169980","DOIUrl":"10.1016/j.aop.2025.169980","url":null,"abstract":"<div><div>This study examines the properties of a special regular black hole. This analysis investigates the Hawking temperature, remnant radius and mass, as well as the effect of parameter <span><math><mi>ξ</mi></math></span> on thermodynamic quantities like entropy, heat capacity, and free energy. The emission rate, evaporation process, quasi-normal modes by calculating Rosen–Morse potential, and topological behavior of the black hole are also explored.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169980"},"PeriodicalIF":3.0,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549574","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
Thermodynamics of rotating AdS black holes in Kaniadakis statistics
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-01 DOI: 10.1016/j.aop.2025.169978
Bidyut Hazarika , Amijit Bhattacharjee , Prabwal Phukon
{"title":"Thermodynamics of rotating AdS black holes in Kaniadakis statistics","authors":"Bidyut Hazarika ,&nbsp;Amijit Bhattacharjee ,&nbsp;Prabwal Phukon","doi":"10.1016/j.aop.2025.169978","DOIUrl":"10.1016/j.aop.2025.169978","url":null,"abstract":"<div><div>In this study, we investigate the thermodynamic properties and phase transitions in rotating anti-de Sitter (AdS) black holes by applying the Kaniadakis (KD) entropy framework. To achieve this, we analyze three prominent rotating AdS black hole systems: the Kerr AdS black hole, the Kerr-Sen AdS black hole, and the Kerr–Newman AdS black hole. We assess their thermodynamic quantities, phase transitions, thermodynamic topology and thermodynamic geometry within the Kaniadakis statistical framework. We observed that Kaniadakis entropy introduces an entropy bound beyond which the black hole solutions become thermally unstable, unlike the Gibbs–Boltzmann framework, where stability persists across infinite Bekenstein–Hawking entropy range. This bound is controlled by the Kaniadakis parameter <span><math><mi>κ</mi></math></span>, with smaller <span><math><mi>κ</mi></math></span> values allowing stability over a broader entropy range. To illustrate these changes, we examine the free energy landscape, which highlights alterations in the phase structure and the stability of black holes. Thermodynamic topology further indicates that the topological class of these black holes changes from 1 to 0 when transitioning from GB to KD statistics. Along with changes in the topological charge, the number of creation and annihilation points also changes. Notably, the topological charge remains independent of all thermodynamic parameters in both GB and KD statistics. We discuss the thermodynamic geometry of rotating AdS black holes using two different formalisms: Ruppeiner and Geometrothermodynamic (GTD). Our analysis uncovers unequal number of singularities in the scalar curvature within both frameworks. In the Ruppeiner formalism, these singularities do not coincide with the discontinuities observed in the heat capacity curves. In contrast, the GTD formalism shows that the singularities in the scalar curvature align with the discontinuities in the heat capacity curves.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169978"},"PeriodicalIF":3.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143528877","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
Mixed-state density operator in a nonlinear quantum system: Erratum
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-01 DOI: 10.1016/j.aop.2025.169979
Gilbert Reinisch
{"title":"Mixed-state density operator in a nonlinear quantum system: Erratum","authors":"Gilbert Reinisch","doi":"10.1016/j.aop.2025.169979","DOIUrl":"10.1016/j.aop.2025.169979","url":null,"abstract":"<div><div>In (Reinisch, 2023), a significant error was made regarding the definition of the base of density matrix <span><math><mi>ρ</mi></math></span>. This led to an erroneous expression of the only adjustable degree of freedom in our nonlinear quantum model. This article corrects this error and accordingly rewrites the analytical part of the previous incorrect paper.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169979"},"PeriodicalIF":3.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143548226","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
Preinflation: Quantum nature of space–time to explain dark energy and the cosmological parameter
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-02-27 DOI: 10.1016/j.aop.2025.169973
Mauricio Bellini
{"title":"Preinflation: Quantum nature of space–time to explain dark energy and the cosmological parameter","authors":"Mauricio Bellini","doi":"10.1016/j.aop.2025.169973","DOIUrl":"10.1016/j.aop.2025.169973","url":null,"abstract":"<div><div>In the framework of an extended theory of General Relativity that incorporates normalized relativistic velocities, where boundary terms in the varied action are treated as integral components of the physical system, I propose an unified nonperturbative formulation of physical and geometric quantum fields. This is illustrated through a recently proposed pre-inflationary model of the early universe. The approach involves introducing a novel canonical prescription for the scalar field <span><math><mover><mrow><mi>φ</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span>, within the context of the quantum geometry of space–time, described by a quantum scalar field <span><math><mover><mrow><mi>Ω</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span>, which satisfies a non-linear quantum algebra. In this framework, it is obtained the exact evolution of a time dependent cosmological parameter, which takes present-day values on the order of <span><math><mrow><mn>4</mn><mo>.</mo><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>52</mn></mrow></msup></mrow></math></span> m<sup>−2</sup>, and will increase until it reaches an asymptotic value close to <span><math><mrow><mn>4</mn><mo>.</mo><mn>23</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>52</mn></mrow></msup></mrow></math></span> m<sup>−2</sup>, in the future.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169973"},"PeriodicalIF":3.0,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526607","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
Centripetal force on Casimir energies in κ-deformed rotating frame
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-02-26 DOI: 10.1016/j.aop.2025.169976
E. Harikumar , K.V. Shajesh , Suman Kumar Panja
{"title":"Centripetal force on Casimir energies in κ-deformed rotating frame","authors":"E. Harikumar ,&nbsp;K.V. Shajesh ,&nbsp;Suman Kumar Panja","doi":"10.1016/j.aop.2025.169976","DOIUrl":"10.1016/j.aop.2025.169976","url":null,"abstract":"<div><div>We investigate the implications of a fundamental length scale on the centripetal force on a rotating Casimir apparatus in <span><math><mi>κ</mi></math></span>-space–time. We model the Casimir apparatus rotating with constant angular speed using appropriate <span><math><mi>κ</mi></math></span>-deformed coordinates. We find the <span><math><mi>κ</mi></math></span>-deformed centripetal force on a single plate, as well as for parallel plates. We show that the Casimir energy, including the divergent part (self energies of the plates) experiences centripetal forces like a conventional mass. We also find centripetal force on oriented parallel plates rotating with constant angular speed in <span><math><mi>κ</mi></math></span>-space–time. Results show that the mass-energy equivalence principle holds in the <span><math><mi>κ</mi></math></span>-space–time.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169976"},"PeriodicalIF":3.0,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508870","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
Stress energy momentum in terms of geodesic accelerations and variational tensors including torsion
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-02-24 DOI: 10.1016/j.aop.2025.169977
Adam Marsh
{"title":"Stress energy momentum in terms of geodesic accelerations and variational tensors including torsion","authors":"Adam Marsh","doi":"10.1016/j.aop.2025.169977","DOIUrl":"10.1016/j.aop.2025.169977","url":null,"abstract":"<div><div>General relativity and its extensions including torsion identify stress energy momentum as being proportional to the Einstein tensor, thus ensuring both symmetry and conservation. Here we visualize stress energy and momentum by identifying the associated relative fractional accelerations of geodesics encoded in the Einstein tensor. This also provides an intuitive explanation for the vanishing divergence of the Einstein tensor. In order to obtain this same energy and momentum for other actions such as that of Dirac theory including torsion, we then review the various stress energy momentum tensors resulting from the variation of different quantities derived from parallel transport, and detail their interrelationships. This provides an opportunity to revisit some classic material from a geometric point of view, including Einstein–Cartan theory, the Sciama–Kibble formalism, and the Belinfante–Rosenfeld relation, whose derivation in the mostly pluses signature would seem to not be otherwise readily available.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169977"},"PeriodicalIF":3.0,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508869","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
Gravitational Compton scattering at zero and finite temperature
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-02-22 DOI: 10.1016/j.aop.2025.169966
L.A.S. Evangelista, A.F. Santos
{"title":"Gravitational Compton scattering at zero and finite temperature","authors":"L.A.S. Evangelista,&nbsp;A.F. Santos","doi":"10.1016/j.aop.2025.169966","DOIUrl":"10.1016/j.aop.2025.169966","url":null,"abstract":"<div><div>The Lagrangian formulation of Gravitoelectromagnetism (GEM) theory is considered. GEM is a gravitational theory constructed based on the similarities between gravity and electromagnetism. In this framework, we investigate gravitational Compton scattering by calculating its cross section at both zero and finite temperatures. Thermal effects are introduced via the Thermo Field Dynamics formalism. Some comparisons between GEM theory and QED have been developed. The limits of high temperature have been analyzed.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"476 ","pages":"Article 169966"},"PeriodicalIF":3.0,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143479800","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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