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The holographic state of matter exists in the quantum gravitational regime, with black holes as the example. In this essay, we provide a microscopic derivation to the holographic thermodynamics and further discuss its implications for…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Yong Xiao

A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

The holographic principle states that the number of degrees of freedom describing the physics inside a volume (including gravity) is bounded by the area of the boundary (also called the screen) which encloses this volume. A stronger…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carsten van de Bruck

We study the hololgraphic dual of the extended thermodynamics of spherically symmetric, charged AdS black holes in the context of the AdS/CFT correspondence. The gravitational thermodynamics of AdS black holes can be extended by allowing…

High Energy Physics - Theory · Physics 2022-09-07 Wan Cong , David Kubiznak , Robert Mann , Manus Visser

We prove a new, large family of area laws in general relativity, which apply to certain classes of untrapped surfaces that we dub generalized holographic screens. Our family of area laws contains, as special cases, the area laws for…

High Energy Physics - Theory · Physics 2018-08-15 Yasunori Nomura , Grant N. Remmen

We investigate tricritical phase transitions in a holographic model of topological superconductivity using Einstein-Maxwell gravity coupled with a charged scalar field in Anti-de Sitter spacetime. By incorporating both gravitational…

High Energy Physics - Theory · Physics 2026-02-03 Hoang Van Quyet

Zero temperature states of matter are holographically described by a spacetime with an asymptotic electric flux. This flux can be sourced either by explicit charged matter fields in the bulk, by an extremal black hole horizon, or by a…

High Energy Physics - Theory · Physics 2015-06-03 Sean A. Hartnoll , Liza Huijse

The quantum null energy condition (QNEC) is the only known consistent local energy condition in quantum theories. Contrary to the classical energy condition which are known to be violated in QFT, QNEC is a consequence of the quantum…

High Energy Physics - Theory · Physics 2020-09-16 Philipp Stanzer

In this paper, phase transition of AdS black holes in lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first order phase transition(FPT) and second order phase transition(SPT) both in…

General Relativity and Quantum Cosmology · Physics 2017-11-02 Xian-Ming Liu , Hong-Bo Shao , Xiao-Xiong Zeng

We explore the phase structure for defect theories in full generality using the gauge/gravity correspondence. On the gravity side, the systems are constructed by introducing M (probe) D(p+4-2k)-branes in a background generated by N…

High Energy Physics - Theory · Physics 2009-11-03 Paolo Benincasa

Motivated by recent results on non-vanishing spatial curvature \cite{curve} we employ the holographic model of dark energy to investigate the validity of first and second laws of thermodynamics in non-flat (closed) universe enclosed by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. R. Setare , S. Shafei

We introduce a new interpretation of chemical potential and show that holographic entropy is entropy bound, which is supported by two ideal cases discussed in detail. One is sparse but incompressible liquid like a star of uniform density…

High Energy Physics - Theory · Physics 2015-05-28 Wu Guang , Gu Wei

We use top-down holography to study the thermodynamics of a one-parameter family of three-dimensional, strongly coupled Yang-Mills-Chern-Simons theories with M-theory duals. For generic values of the parameter, the theories exhibit a mass…

High Energy Physics - Theory · Physics 2020-07-15 Daniel Elander , Anton F. Faedo , David Mateos , Javier G. Subils

For the higher-dimensional dS spacetime embedded with black holes with non-linear charges, there are two horizons with different radiation temperatures. By introducing the interplay between two horizons this system can be regarded as an…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

In a Schwarzschild-de Sitter space, we consider an equipotential surface which consists of two holographic screens. Adapting the Bousso-Hawking's reference point of vanishing force, we divide the space into two regions, which are from the…

High Energy Physics - Theory · Physics 2011-09-06 Ee Chang-Young , Myungseok Eune , Kyoungtae Kimm , Daeho Lee

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng

We reformulate the quantum black hole portrait in the language of modern condensed matter physics. We show that black holes can be understood as a graviton Bose-Einstein condensate at the critical point of a quantum phase transition,…

High Energy Physics - Theory · Physics 2012-07-18 Gia Dvali , Cesar Gomez

We apply the holographic principle to a flat dark energy dominated Friedmann-Robertson-Walker spacetime filled with a tachyon scalar field with constant equation of state $w=p/\rho$, both for $w>-1$ and $w<-1$. By using a geometrical…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Alberto Rozas-Fernández

Focusing on the description of cosmic evolution at late times, this study examines a generalized holographic dark energy (HDE) framework constructed via a polynomial expansion in the Hubble parameter, which includes contributions…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Miguel Cruz , Joaquin Housset , Samuel Lepe , Joel Saavedra , Francisco Tello-Ortiz

We introduce the isothermal cavity, static holographic screen, and accelerating surface as holographic screen to study the entropic force in the presence of the Schwarzschild black hole. These may merge to provide a consistent holographic…

High Energy Physics - Theory · Physics 2010-05-19 Yun Soo Myung , Yong-Wan Kim