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Cosmological observations are beginning to reach a level of precision that allow us to test some of the most fundamental assumptions in our working model of the Universe. One such an assumption is that gravity is governed by the General…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Pedro G. Ferreira

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

We consider the formulation of entropic gravity in two spacetime dimensions. The usual gravitational force law is derived even in the absence of area, as normally required by the holographic principle. A special feature of this perspective…

High Energy Physics - Theory · Physics 2011-08-31 R. B. Mann , J. R. Mureika

There is an intriguing analogy between the gravitational dynamics of the horizons and thermodynamics. In case of general relativity, as well as for a wider class of Lanczos-Lovelock theories of gravity, it is possible to interpret the field…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dawood Kothawala , Sudipta Sarkar , T. Padmanabhan

This paper is part of a bottom-up approach to gravitational thermodynamics that is guided by the axiomatic frameworks of equilibrium thermodynamics. We identify a novel form of the microcanonical distribution for systems in background…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Eirini Sourtzinou , Charis Anastopoulos

We develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

Statistical Mechanics · Physics 2025-06-26 Naoko Nakagawa , Shin-ichi Sasa , Takamichi Hirao , Tsuyoshi Shiina , Kyosuke Tachi , Akira Yoshida

I clarify the differences between various approaches in the literature which attempt to link gravity and thermodynamics. I then describe a new perspective based on the following features: (1) As in the case of any other matter field, the…

General Relativity and Quantum Cosmology · Physics 2016-02-09 T. Padmanabhan

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

Astrophysics · Physics 2015-06-24 Daniel da Rocha , Laurent Nottale

We suggest a mechanism for the emergence of classical dynamical spacetime from an underlying quantum gravitational system. This is an example of a more general process, which we name micro-equilibration, and which can be thought of as local…

High Energy Physics - Theory · Physics 2019-05-29 Veronika E. Hubeny , Massimiliano Rota

The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure, thus we use those expressions to…

General Relativity and Quantum Cosmology · Physics 2016-07-20 S. C. Ulhoa , E. P. Spaniol

The vacuum of quantum fields contains correlated fluctuations. When restricted to one side of a surface these have a huge entropy of entanglement that scales with the surface area. If UV physics renders this entropy finite, then a…

General Relativity and Quantum Cosmology · Physics 2012-11-13 Ted Jacobson

General theory of relativity (or Lovelock extensions) is a dynamical theory; given an initial configuration on a space-like hypersurface, it makes a definite prediction of the final configuration. Recent developments suggest that gravity…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Swastik Bhattacharya , S. Shankaranarayanan

After introducing the fundamental properties of self-gravitating systems, we present an application of Tsallis' generalized entropy to the analysis of their thermodynamic nature. By extremizing the Tsallis entropy, we obtain an equation of…

Statistical Mechanics · Physics 2009-11-10 Masa-aki Sakagami , Atsushi Taruya

According to maximum entropy principle, it has been proved that the gravitational field equations could be derived by the extrema of total entropy for perfect fluid, which implies that thermodynamic relations contain information of gravity.…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Xiongjun Fang , Xiaokai He , Jiliang Jing

It has been speculated that gravity could be an emergent phenomenon, with classical general relativity as an effective, macroscopic theory, valid only for classical systems at large temporal and spatial scales. As in classical continuum…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Huan Yang , Larry R. Price , Nicolas D. Smith , Rana X Adhikari , Haixing Miao , Yanbei Chen

Three-dimensional Lorentzian quantum gravity, expressed as the continuum limit of a nonperturbative sum over spacetimes, is tantalizingly close to being amenable to analytical methods, and some of its properties have been described in terms…

High Energy Physics - Theory · Physics 2023-02-01 J. Brunekreef , R. Loll

Gravitation governs the expansion and fate of the universe, and the growth of large scale structure within it, but has not been tested in detail on these cosmic scales. The observed acceleration of the expansion may provide signs of…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-29 Eric V. Linder

We extend the thermodynamic derivation of gravity in the Jacobson framework by generalizing the Clausius relation through a nontrivial entropy functional. We show that entropy deformations appear as modifications of the effective…

General Relativity and Quantum Cosmology · Physics 2026-04-14 H. R. Fazlollahi

Recent criticism of higher-dimensional extensions of Einstein's theory is considered. This may have some justification as regards string theory, but is misguided as applied to five-dimensional theories with a large extra dimension. Such…

General Relativity and Quantum Cosmology · Physics 2014-12-22 Paul S. Wesson

There are two strong clues about the quantum structure of spacetime and the gravitational dynamics, which are almost universally ignored in the conventional approaches to quantize gravity. The first clue is that null surfaces exhibit…

General Relativity and Quantum Cosmology · Physics 2020-01-17 T. Padmanabhan