{"title":"Localized Five-Dimensional Rotating Brane-World Black Hole Analytically Connected to an to an AdS5 Boundary","authors":"Milko Estrada, Francisco Tello-Ortiz","doi":"10.1002/prop.70096","DOIUrl":"https://doi.org/10.1002/prop.70096","url":null,"abstract":"<div>\u0000 \u0000 <p>We provide a method to describe the geometry of an analytic, exponentially localized <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>5</mn>\u0000 <mi>D</mi>\u0000 </mrow>\u0000 <annotation>$5D$</annotation>\u0000 </semantics></math> rotating braneworld black hole using the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>5</mn>\u0000 <mi>D</mi>\u0000 </mrow>\u0000 <annotation>$5D$</annotation>\u0000 </semantics></math> Janis–Newman algorithm in Hopf coordinates. The induced metric on the brane matches the standard <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>4</mn>\u0000 <mi>D</mi>\u0000 </mrow>\u0000 <annotation>$4D$</annotation>\u0000 </semantics></math> Kerr spacetime. Two curvature singularities arise: one confined to the 3-brane at <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>z</mi>\u0000 <mo>=</mo>\u0000 <mi>r</mi>\u0000 <mo>=</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <annotation>$z = r = 0$</annotation>\u0000 </semantics></math>, and another that, on the brane, reproduces the Kerr singularity at <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>r</mi>\u0000 <mo>=</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <annotation>$r = 0$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mover>\u0000 <mi>θ</mi>\u0000 <mo>¯</mo>\u0000 </mover>\u0000 <mo>=</mo>\u0000 <mi>π</mi>\u0000 <mo>/</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$bar{theta } = pi /2$</annotation>\u0000 </semantics></math>. The inner and event horizons, together with the stationary limit hypersurfaces, extend into the extra dimension in a pancake-like shape. We describe their behavior in the bulk. The energy–momentum tensor represents a source transitioning from an anisotropic, nondiagonal structure to a vacuum with a negative cosmological constant. Thus, the localized black hole connects to an AdS<sub>5</sub> boundary. The geometry is supported by a nondiagonal anisotropic fluid in the bulk, requiring no matter on the brane. To evaluate the energy conditions, we use a one-form from the dual basis that yields a diagonal energy–momentum tensor. The energy conditions are satisfied close to the brane, while they are violated at a location outside the brane but within the extension of the event horizon. The latter is required to support the rotating geometry.</p></div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 4","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682997","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}
{"title":"A Dynamical Systems Perspective on the Thermodynamics of Late-Time Cosmology","authors":"Dipayan Mukherjee, Harkirat Singh Sahota, Swati Gavas","doi":"10.1002/prop.70094","DOIUrl":"https://doi.org/10.1002/prop.70094","url":null,"abstract":"<div>\u0000 \u0000 <p>A thermodynamic description of cosmological spacetimes may provide insights into the fundamentals of the cosmic evolution that remain otherwise obscure, similar to “black hole thermodynamics.” We investigate the thermodynamic properties of late-time cosmological evolution using the dynamical systems approach, focusing on <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Λ</mi>\u0000 <mi>CDM</mi>\u0000 </mrow>\u0000 <annotation>$Lambda{rm CDM}$</annotation>\u0000 </semantics></math> model and scalar field models with exponential potentials. Thermodynamic quantities obtained through the Hayward–Kodama formalism are mapped onto the phase-space of these models. Specifically, we express the thermodynamic quantities as functions of the phase-space variables, allowing us to study the thermodynamic behavior across the phase space, particularly at the critical points. We focus on thermodynamic stability and phase transitions, analyzed in an initial condition-independent manner. In these models, the universe inevitably undergoes a thermodynamic phase transition, marked by diverging specific heats, irrespective of its initial configuration. We further demonstrate that the thermodynamic stability can occur only during an accelerating phase of the universe. For <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Λ</mi>\u0000 <mi>CDM</mi>\u0000 </mrow>\u0000 <annotation>$Lambda{rm CDM}$</annotation>\u0000 </semantics></math> and quintessence models, the necessary stability conditions are never satisfied anywhere in the phase space, rendering both models thermodynamically unstable within the Hayward–Kodama framework and the canonical ensemble-based stability criteria. Interestingly, the phantom models, although dynamically unstable, allow for the universe to attain thermodynamic stability in its asymptotic future. This can indicate the limitations of applying canonical ensemble-based thermodynamic stability criteria to cosmological horizons. Through these archetypal descriptions of late-time cosmology, we show that the dynamical system approach is a robust framework to probe the thermodynamic aspects of cosmological evolution.</p>\u0000 </div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 4","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147585024","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}
{"title":"Issue Information: Fortschritte der Physik 4 / 2026","authors":"","doi":"10.1002/prop.70103","DOIUrl":"https://doi.org/10.1002/prop.70103","url":null,"abstract":"","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 4","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.70103","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147585287","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}
{"title":"Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String-Theoretical Swampland Programme","authors":"Kay Lehnert","doi":"10.1002/prop.70073","DOIUrl":"https://doi.org/10.1002/prop.70073","url":null,"abstract":"<p>String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single-field slow-roll inflation, and that black holes decay. The origins of these statements are elucidated within the string-theoretical swampland programme. The swampland programme is generating a growing body of insights that have yet to be incorporated into cosmological models. Taking a cosmologist's perspective, the relevance of swampland conjectures to black holes, dark matter, dark energy, and inflation is highlighted, including their implications for scalar fields such as quintessence and axions. The aim is to inspire cosmological model builders to examine the compatibility of effective field theories with quantum gravitational UV completions and to address outstanding cosmological tensions such as the Hubble tension. This comprehensive literature review presents clear definitions, cosmological implications, and the current status — including evidence and counterexamples — of the following swampland conjectures: the <i>anti–de Sitter distance conjecture</i>, the <i>completeness conjecture</i>, the <i>cobordism conjecture</i>, the <i>de Sitter conjecture</i>, the <i>swampland distance conjecture</i>, the <i>emergence proposal</i>, the <i>Festina Lente Bound</i>, the <i>finite number of massless fields conjecture</i> (or <i>finite flux vacua conjecture</i>), the <i>no global symmetries conjecture</i>, the <i>no non-supersymmetric theories conjecture</i>, the <i>non-negative null energy condition conjecture</i>, the <i>positive Gauss–Bonnet term conjecture</i>, the <i>species scale conjecture</i>, the <i>gravitino swampland conjecture</i>, the <i>tadpole conjecture</i>, the <i>tameness conjecture</i>, the <i>trans–Planckian censorship conjecture</i>, the <i>unique geodesic conjecture</i>, and the <i>weak gravity conjecture</i>, including the <i>repulsive force conjecture</i>.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 4","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.70073","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147615397","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}
{"title":"A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E8 × E8 Heterotic String Theories I: Formalisms","authors":"Archana Maji","doi":"10.1002/prop.70092","DOIUrl":"https://doi.org/10.1002/prop.70092","url":null,"abstract":"<div>\u0000 \u0000 <p>We construct 4D de Sitter space as an excited state, rather than as a vacuum configuration, in type IIB, heterotic <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <mi>O</mi>\u0000 <mo>(</mo>\u0000 <mn>32</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$SO(32)$</annotation>\u0000 </semantics></math>, and heterotic <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>E</mi>\u0000 <mn>8</mn>\u0000 </msub>\u0000 <mo>×</mo>\u0000 <msub>\u0000 <mi>E</mi>\u0000 <mn>8</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$mathrm{E}_8 times mathrm{E}_8$</annotation>\u0000 </semantics></math> string theories. This framework provides a mechanism to evade vacuum-based no-go theorems for de Sitter solutions in string theory. Starting from a generic M-theory configuration, we obtain de Sitter isometry in the dual string theories through appropriate dynamical duality sequences in the late-time limit. The excited state, identified as a Glauber–Sudarshan state, is constructed as the expectation value of the metric operator in M-theory using path-integral techniques. We further analyze the conditions required for the existence of a well-defined effective field theory description and show that these conditions are equivalent to the null energy condition for a 4D Friedmann-Lemaitre-Robertson-Walker cosmology. Finally, we investigate constraints arising from axionic cosmology, and demonstrate how the time-dependent solutions are modified when experimental bounds on the axionic coupling constant are taken into account. This article serves as a computational companion to Sections 3 and 4 of the paper arXiv:2511.03798 [hep-th], where we present the detailed intermediate steps underlying the analysis in those sections.</p>\u0000 </div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 3","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147615035","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}
{"title":"A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E8 × E8 Heterotic String Theories I: Formalisms","authors":"Archana Maji","doi":"10.1002/prop.70092","DOIUrl":"https://doi.org/10.1002/prop.70092","url":null,"abstract":"<div>\u0000 \u0000 <p>We construct 4D de Sitter space as an excited state, rather than as a vacuum configuration, in type IIB, heterotic <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <mi>O</mi>\u0000 <mo>(</mo>\u0000 <mn>32</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$SO(32)$</annotation>\u0000 </semantics></math>, and heterotic <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>E</mi>\u0000 <mn>8</mn>\u0000 </msub>\u0000 <mo>×</mo>\u0000 <msub>\u0000 <mi>E</mi>\u0000 <mn>8</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$mathrm{E}_8 times mathrm{E}_8$</annotation>\u0000 </semantics></math> string theories. This framework provides a mechanism to evade vacuum-based no-go theorems for de Sitter solutions in string theory. Starting from a generic M-theory configuration, we obtain de Sitter isometry in the dual string theories through appropriate dynamical duality sequences in the late-time limit. The excited state, identified as a Glauber–Sudarshan state, is constructed as the expectation value of the metric operator in M-theory using path-integral techniques. We further analyze the conditions required for the existence of a well-defined effective field theory description and show that these conditions are equivalent to the null energy condition for a 4D Friedmann-Lemaitre-Robertson-Walker cosmology. Finally, we investigate constraints arising from axionic cosmology, and demonstrate how the time-dependent solutions are modified when experimental bounds on the axionic coupling constant are taken into account. This article serves as a computational companion to Sections 3 and 4 of the paper arXiv:2511.03798 [hep-th], where we present the detailed intermediate steps underlying the analysis in those sections.</p>\u0000 </div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 3","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147615171","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}
Tommaso Antonelli, Andrea Giusti, Roberto Casadio, Lavinia Heisenberg
{"title":"Quasinormal Modes for Coherent Quantum Black Holes","authors":"Tommaso Antonelli, Andrea Giusti, Roberto Casadio, Lavinia Heisenberg","doi":"10.1002/prop.70093","DOIUrl":"10.1002/prop.70093","url":null,"abstract":"<p>Coherent quantum black holes are quantum geometries obtained by means of a mean-field-like approach to the gravitational interaction. This procedure attenuates the classical spacetime singularities of general relativity by replacing them with integrable singularities in the quantum-corrected geometry. After discussing some relevant observables for a novel geometry for spherically symmetric black holes, we investigate the quasinormal modes spectrum of scalar, electromagnetic, and gravitational fields for the proposed model. The results indicate potential deviations from general relativity, the magnitude of which is gauged by the value of the ultraviolet regulator of the model (physically identifiable as a matter core). Observations of the ringdown phase in black hole mergers could help detect such deviations.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 3","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.70093","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147585036","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}
Asad Ali, Hamid Arian Zad, Muhammad Irtiza Hussain, Saif Al-Kuwari, Hashir Kuniyil, Muhammad Talha Rahim, Michal Jaščur, Saeed Haddadi
{"title":"Quantum Mpemba Effect in a Four-Site Bose–Hubbard Model","authors":"Asad Ali, Hamid Arian Zad, Muhammad Irtiza Hussain, Saif Al-Kuwari, Hashir Kuniyil, Muhammad Talha Rahim, Michal Jaščur, Saeed Haddadi","doi":"10.1002/prop.70089","DOIUrl":"https://doi.org/10.1002/prop.70089","url":null,"abstract":"<div>\u0000 \u0000 <p>We investigate relaxation-order inversion, known as the quantum Mpemba effect (QME), in a minimal open many-body system called a one-dimensional four-site Bose–Hubbard chain governed by Lindblad dynamics with local number dephasing. Families of thermal initial states are prepared at a fixed temperature and evolved under a common reference Liouvillian toward the same stationary state. Relaxation is characterized using four complementary diagnostics: trace distance, quantum relative entropy, symmetry-projected entropy imbalance (entanglement asymmetry), and the <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>ℓ</mi>\u0000 <mn>1</mn>\u0000 </msub>\u0000 <annotation>$ell _{1}$</annotation>\u0000 </semantics></math>-norm of coherence in the Fock basis. We find that QME emerges robustly in -the clean interacting regime, where on-site interactions redistribute the overlaps of initial states with slow Liouvillian decay modes, enabling states initially farther from equilibrium to converge faster at late times. In contrast, the noninteracting limit exhibits a monotonic relaxation hierarchy across all metrics. Introducing a linear Stark potential or random on-site disorder suppresses relaxation and eliminates QME signatures by inhibiting transport-assisted mixing and enhancing the dominance of slow modes. Within the explored parameter regime, the Stark field induces significantly stronger retardation than disorder. We further show that symmetry-projected entropy imbalance is particularly sensitive to charge-sector decoherence in reduced subsystems and provides a stringent probe of QME in bosonic platforms. Our results elucidate the essential role of interactions in enabling anomalous relaxation in open lattice systems and connect the suppression of QME under spatial inhomogeneity to localization phenomena in tilted and disordered Bose–Hubbard chains.</p></div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 3","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147567868","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}
Asad Ali, Hamid Arian Zad, Muhammad Irtiza Hussain, Saif Al-Kuwari, Hashir Kuniyil, Muhammad Talha Rahim, Michal Jaščur, Saeed Haddadi
{"title":"Quantum Mpemba Effect in a Four-Site Bose–Hubbard Model","authors":"Asad Ali, Hamid Arian Zad, Muhammad Irtiza Hussain, Saif Al-Kuwari, Hashir Kuniyil, Muhammad Talha Rahim, Michal Jaščur, Saeed Haddadi","doi":"10.1002/prop.70089","DOIUrl":"https://doi.org/10.1002/prop.70089","url":null,"abstract":"<div>\u0000 \u0000 <p>We investigate relaxation-order inversion, known as the quantum Mpemba effect (QME), in a minimal open many-body system called a one-dimensional four-site Bose–Hubbard chain governed by Lindblad dynamics with local number dephasing. Families of thermal initial states are prepared at a fixed temperature and evolved under a common reference Liouvillian toward the same stationary state. Relaxation is characterized using four complementary diagnostics: trace distance, quantum relative entropy, symmetry-projected entropy imbalance (entanglement asymmetry), and the <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>ℓ</mi>\u0000 <mn>1</mn>\u0000 </msub>\u0000 <annotation>$ell _{1}$</annotation>\u0000 </semantics></math>-norm of coherence in the Fock basis. We find that QME emerges robustly in -the clean interacting regime, where on-site interactions redistribute the overlaps of initial states with slow Liouvillian decay modes, enabling states initially farther from equilibrium to converge faster at late times. In contrast, the noninteracting limit exhibits a monotonic relaxation hierarchy across all metrics. Introducing a linear Stark potential or random on-site disorder suppresses relaxation and eliminates QME signatures by inhibiting transport-assisted mixing and enhancing the dominance of slow modes. Within the explored parameter regime, the Stark field induces significantly stronger retardation than disorder. We further show that symmetry-projected entropy imbalance is particularly sensitive to charge-sector decoherence in reduced subsystems and provides a stringent probe of QME in bosonic platforms. Our results elucidate the essential role of interactions in enabling anomalous relaxation in open lattice systems and connect the suppression of QME under spatial inhomogeneity to localization phenomena in tilted and disordered Bose–Hubbard chains.</p></div>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"74 3","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147567867","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}