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This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as our main tool. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2021-07-27 S. Jalalzadeh , F. Rodrigues da Silva , P. V. Moniz

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

Thin shells in general relativity can be used both as models of collapsing objects and as probes in the space-time outside compact sources. Therefore they provide a useful tool for the analysis of the final fate of collapsing matter and of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Roberto Casadio

We show that, when we study the coexistence of general relativity with thermodynamics, some physical properties that are usually thought of as holographic and lying in the domain of quantum gravity can actually be accessed even at the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ntina Savvidou , C. Anastopoulos

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. Of particular practical relevance…

Quantum Physics · Physics 2019-09-23 Patrick P. Potts

From the dynamics of a broad class of classical mean-field glass models one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi-)invariance in the…

High Energy Physics - Theory · Physics 2019-12-05 Davide Facoetti , Giulio Biroli , Jorge Kurchan , David R. Reichman

We study a generalisation of thermodynamic geometry to degenerate quantum ground states at zero temperatures exemplified by charged extremal black holes in type II string theories. Several examples of extremal charged black holes with non…

High Energy Physics - Theory · Physics 2008-11-26 Tapobrata Sarkar , Gautam Sengupta , Bhupendra Nath Tiwari

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black…

High Energy Physics - Theory · Physics 2017-06-13 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. S. Talezadeh

A gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the…

Semi-classical dilaton gravity in (1+1)-dimensions remains one of the only arenas where quantum black holes can be exactly constructed, fully accounting for backreaction due to quantum matter. Here we provide a comprehensive analysis of the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Jean Alexandre , Eleni-Alexandra Kontou , Diego Pardo Santos , Silvia Pla , Andrew Svesko

We obtain a new phantom black plane solution in 4D of the Einstein-Maxwell theory coupled with a cosmological constant. We analyse their basic properties, as well as its causal structure, and obtain the extensive and intensive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Manuel E. Rodrigues , Deborah F. Jardim , M. J. S. Houndjo , Ratbay Myrzakulov

Although we know that black holes are characterized by a temperature and an entropy, we do not yet have a satisfactory microscopic ``statistical mechanical'' explanation for black hole thermodynamics. I describe a new approach that…

General Relativity and Quantum Cosmology · Physics 2016-01-27 S. Carlip

We review the remarkable relationship between the laws of black hole mechanics and the ordinary laws of thermodynamics. It is emphasized that - in analogy with the laws of thermodynamics - the validity the laws of black hole mechanics does…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

Quantum Physics · Physics 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

In this paper, we have investigated the thermodynamics of Schwarzschild black holes using the symmetric generalized uncertainty principle which contains correction terms involving momentum and position uncertainty. We obtain the…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Abhijit Dutta , Sunandan Gangopadhyay

A key objective in nuclear and high-energy physics is to describe nonequilibrium dynamics of matter, e.g., in the early universe and in particle colliders, starting from the Standard Model. Classical-computing methods, via the framework of…

Building on parallels between geometric quantum mechanics and classical mechanics, we explore an alternative basis for quantum thermodynamics that exploits the differential geometry of the underlying state space. We develop both…

Quantum Physics · Physics 2024-03-13 Fabio Anza , James P. Crutchfield

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

Statistical Mechanics · Physics 2015-11-18 Robert H. Swendsen

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

We study a black hole of mass $M$, enclosed within a spherical box, in equilibrium with its Hawking radiation. We show that the spacetime geometry inside the box is described by the Oppenheimer-Volkoff equations for radiation, except for a…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Charis Anastopoulos , Ntina Savvidou