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The entropy S of the horizon $theta = pi/2$ of the Hawking wormhole written in spherical Rindler coordinates is computed in this letter. Using Padmanabhan's prescription,we found that the surface gravity of the horizon equals the proper…

High Energy Physics - Theory · Physics 2007-05-23 Hristu Culetu

This paper elaborates on an intrinsically quantum approach to gravity, which begins with a general framework for quantum mechanics and then seeks to identify additional mathematical structure on Hilbert space that is responsible for gravity…

High Energy Physics - Theory · Physics 2019-03-27 Steven B. Giddings

Given a finite-dimensional inner product space $V$ and a group $G$ of isometries, we consider the problem of embedding the orbit space $V/G$ into a Hilbert space in a way that preserves the quotient metric as well as possible. This inquiry…

Metric Geometry · Mathematics 2025-06-06 Ben Blum-Smith , Harm Derksen , Dustin G. Mixon , Yousef Qaddura , Brantley Vose

It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

We show that the study of hidden conformal symmetry that associates to the Kerr/CFT correspondence can also apply to the cosmological horizon in Kerr-Newman-Taub-NUT-de Sitter spacetime. This symmetry allows one to employ some two…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Haryanto M. Siahaan

In a recent paper [arXiv:1001.0785], Verlinde has shown that the Newton gravity appears as an entropy force. In this paper we show how gravity appears as entropy force in Einstein's equation of gravitational field in a general spherically…

High Energy Physics - Theory · Physics 2010-04-14 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

Homogeneous isotropic spatial flat cosmological models with two torsion functions in vacuum are built and investigated in the framework of de Sitter gauge theory of gravity. It is shown that by certain choices of parameters of gravitational…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Guo-Ying Qi

Spacetimes with horizons show a resemblance to thermodynamic systems and it is possible to associate the notions of temperature and entropy with them. Several aspects of this connection are reviewed in a manner appropriate for broad…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Padmanabhan

In this essay we offer a comprehensible overview of the gravitational aether scenario. This is a possible extension of Einstein's theory of relativity to the quantum regime via an effective approach. Quantization of gravity usually faces…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Michael Florian Wondrak

We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition…

High Energy Physics - Theory · Physics 2011-11-23 Alejandra Castro , Nima Lashkari , Alexander Maloney

Quantum gravity in 2+1 dimensions with a positive cosmological constant can be represented as an SL(2,C) Chern-Simons gauge theory. The symmetric vacuum of this theory is a degenerate configuration for which the gauge fields and spacetime…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Juan M. Maldacena , Andrew Strominger

There is a deep link between gravity and thermodynamics; in a precise way gravity can be derived from entanglement entropy in conformal field theories. However, this depends crucially on properties of horizons, and asymptotic symmetries of…

High Energy Physics - Theory · Physics 2025-04-30 Ian Nagle

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using…

High Energy Physics - Theory · Physics 2023-07-26 James Bonifacio , Harry Goodhew , Austin Joyce , Enrico Pajer , David Stefanyszyn

We show that it is possible to obtain a picture of equilibrium thermodynamics on the apparent horizon in the expanding cosmological background for a wide class of modified gravity theories with the Lagrangian density $f(R, \phi, X)$, where…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Kazuharu Bamba , Chao-Qiang Geng , Shinji Tsujikawa

The fundamental equation of the thermodynamic system gives the relation between internal energy, entropy and volume of two adjacent equilibrium states. Taking higher dimensional charged Gauss-Bonnet black hole in de Sitter space as a…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Xiong-Ying Guo , Huai-Fan Li , Li-Chun Zhang

Traditional geometry employs idealized concepts like that of a point or a curve, the operational definition of which relies on the availability of classical point particles as probes. Real, physical objects are quantum in nature though,…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Pedro Aguilar , Yuri Bonder , Chryssomalis Chryssomalakos , Daniel Sudarsky

For many years researchers have tried to glean hints about quantum gravity from black hole thermodynamics. However, black hole thermodynamics suffers from the problem of Universality --- at leading order, several approaches with different…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Bethan Cropp , Swastik Bhattacharya , S. Shankaranarayanan

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

Earlier it was shown that the entropy of an ideal gas, contained in a box and moving in a gravitational field, develops an area dependence when it approaches the horizon of a static, spherically symmetric spacetime. Here we extend the above…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Sourav Bhattacharya , Sumanta Chakraborty , T. Padmanabhan

Using simple algebraic methods along with an analogy to the BFSS model, we explore the possible (target) spacetime symmetries that may appear in a matrix description of de Sitter gravity. Such symmetry groups could arise in two ways, one…

High Energy Physics - Theory · Physics 2016-09-06 Yi-hong Gao