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The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum mechanics. This…

High Energy Physics - Theory · Physics 2022-11-02 Badis Ydri

We consider the C-metric as a gravitational field configuration that describes an accelerating black hole in the presence of a semi-infinite cosmic string, along the accelerating direction. We adopt the expression for the gravitational…

General Relativity and Quantum Cosmology · Physics 2022-11-30 F. L. Carneiro , S. C. Ulhoa , J. W. Maluf

We propose a mathematical structure, based on a noncommutative geometry, which combines essential aspects of general relativity and quantum mechanics, and leads to correct "limiting cases" of both these theories. We quantize a groupoid…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Heller , W. Sasin

We discuss the interpertation of the $c=1$ matrix model as two-dimensional string theory in a dilaton-black hole background. The nonperturbative formulation of $c=1$ matrix model in terms of an integrable model of nonrelativistic fermions…

High Energy Physics - Theory · Physics 2016-11-03 Avinash Dhar

We revisit the 4D generalized black hole geometries, obtained by us [1], with a renewed interest, to unfold some aspects of effective gravity in a noncommutative D3-brane formalism. In particular, we argue for the existence of extra…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar , Sumit Majumdar

Noncommutative field theory (NCFT) is an extension of quantum field theory (QFT) that redefines spacetime, replacing commuting coordinates with a noncommutative structure. This shift fundamentally alters the way fields, interactions, and…

High Energy Physics - Theory · Physics 2026-01-14 Badis Ydri

We investigate the behavior of a noncommutative radiating Schwarzschild black hole. It is shown that coordinate noncommutativity cures usual problems encountered in the description of the terminal phase of black hole evaporation. More in…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Piero Nicolini , Anais Smailagic , Euro Spallucci

Hermiticity is usually treated as a foundational axiom of quantum mechanics, guaranteeing real spectra and unitary time evolution. In this work we argue that Hermiticity is more naturally understood as a symmetry law arising from the global…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Oem Trivedi , Alfredo Gurrola , Robert J. Scherrer

Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying symmetry. In the absence of a full quantum…

High Energy Physics - Theory · Physics 2015-03-17 Mairi Sakellariadou

In this paper we will show that using the cosmological constant as a new thermodynamical state variable, the differential and integral mass formulas of the first law of thermodynamics for asymptotic flat spacetimes can be extended to be…

General Relativity and Quantum Cosmology · Physics 2007-11-02 Alexis Larranaga

I review several different calculations, coming from string theory, nonperturbative quantum gravity and analyses of black holes that lead to predictions of phenomena that would uniquely be signatures of quantum gravitational effects. These…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Lee Smolin

Dictated by Symmetry Principle, string theory predicts not General Relativity but its own gravity which assumes the entire closed string massless sector to be geometric and thus gravitational. In terms of $R/(MG)$, i.e. the dimensionless…

High Energy Physics - Theory · Physics 2018-01-12 Jeong-Hyuck Park

This paper discusses a new wormhole solution that admits conformal motion, given a noncommutative-geometry background. After a discussion of the wormhole geometry and the energy conditions, the analysis proceeds with the calculation of the…

General Physics · Physics 2015-06-16 Farook Rahaman , Saibal Ray , G. S. Khadekar , P. K. F. Kuhfittig , Indrani Karar

We find a new charged black hole in three-dimensional anti-de Sitter space using an anisotropic perfect fluid inspired by the noncommutative black hole as the source of matter and a gaussian distribution of electric charge. We deduce the…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Alexis Larranaga , Juan Manuel Tejeiro

Quantum aspects of black holes represent an important testing ground for a theory of quantum gravity. The recent success of string theory in reproducing the Bekenstein-Hawking black hole entropy formula provides a link between general…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ramzi R. Khuri

In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Euro Spallucci , Anais Smailagic

In this paper we complete the program of the noncomutative geometry inspired black holes, providing the richest possible solution, endowed with mass, charge and angular momentum. After providing a prescription for employing the Newman-Janis…

General Relativity and Quantum Cosmology · Physics 2010-12-13 Leonardo Modesto , Piero Nicolini

Noncommutative (NC) gravity is constructed on the canonical noncommutative (Moyal-Weyl) space-time as a noncommutative $SO(2,3)_\star$ gauge theory. The NC gravity action consists of three different terms: the first term is of Mac-Dowell…

High Energy Physics - Theory · Physics 2017-09-27 Marija Dimitrijević Ćirić , Biljana Nikolić , Voja Radovanović

In this paper we present some stringy corrections to black hole spacetimes emerging from string T-duality. As a first step, we derive the static Newtonian potential by exploiting the relation between the T-duality and the path integral…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Piero Nicolini , Euro Spallucci , Michael F. Wondrak

We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Folkert Muller-Hoissen