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We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Schwarzschild diverge, we investigate timelike and null radial…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Valerio Faraoni , Andrea Giusti

We quantize the Oppenheimer-Snyder model of black hole using the integral quantization method. We treat spatial and temporal coordinates on the same footing both at classical and quantum levels. Our quantization resolves or smears the…

General Relativity and Quantum Cosmology · Physics 2023-11-30 A. Góźdź , J. J. Ostrowski , A. Pȩdrak , W. Piechocki

We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of both the Schwarzschild and the Kantowski-Sachs black…

High Energy Physics - Theory · Physics 2011-07-08 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

The merging of quantum information science with the relativity theory presents novel opportunities for understanding the enigmas surrounding the transmission of information in relation to black holes. For this purpose, we study the…

General Relativity and Quantum Cosmology · Physics 2024-01-23 S. Haddadi , M. A. Yurischev , M. Y. Abd-Rabbou , M. Azizi , M. R. Pourkarimi , M. Ghominejad

A finite dimensional system with a quadratic Hamiltonian constraint is Dirac quantized in holomorphic, antiholomorphic and mixed representations. A unique inner product is found by imposing Hermitian conjugacy relations on an operator…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jorma Louko

Quantum gravity effects in effective models of loop quantum gravity, such as loop quantum cosmology, are encoded in the choice of so-called polymerisation schemes. Physical viability of the models, such as an onset of quantum effects at…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

We study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 R. Gambini , J. Olmedo , J. Pullin

In this work we study the Schwarzschild metric in the context of canonical quantum gravity inside the horizon, close of horizon and near the black hole singularity. Using this standard quantization procedure, we show that the horizon is…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Laysa G. Martins , K. Luz-Burgoa , José A. C. Nogales

Loop quantum cosmology has achieved great successes, in which the polymerization plays a crucial role. In particular, the phase-space-variable dependent polymerization turns out to be the unique one that leads to consistent quantization of…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Wen-Cong Gan , Anzhong Wang

In this work, we investigate the thermodynamics of Schwarzschild black and white holes within a $q$-deformed Wheeler--DeWitt framework. By introducing a $q$-deformed Heisenberg--Weyl algebra at a root of unity, we derive a…

General Relativity and Quantum Cosmology · Physics 2026-03-31 S. Jalalzadeh , R. Jalalzadeh , H. Moradpour

Conceptual difficulties in semiclassical and quantum gravity arise from diffeomorphism invariance of classical general relativity. With a motivation to shed some light on these difficulties, we study a class of toy models for which…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Hrvoje Nikolic

We present the detailed analyses of a model of loop quantum Schwarzschild interior coupled to a massless scalar field and extend the results in our previous rapid communication arXiv:2006.08313 to more general schemes. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Cong Zhang , Yongge Ma , Shupeng Song , Xiangdong Zhang

We show that the standard Hamiltonian of isotropic loop quantum cosmology is selected by physical criteria plus one choice: that it have a `minimal' number of terms. We also show the freedom, and boundedness of energy density, even when…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Jonathan Engle , Ilya Vilensky

We establish a black hole uniqueness theorem for Schwarzschild-de Sitter spacetime, also called Kottler spacetime, which satisfies Einstein's field equations of general relativity with positive cosmological constant. Our result concerns the…

General Relativity and Quantum Cosmology · Physics 2010-09-10 Philippe G. LeFloch , Luc Rozoy

It has been conjectured that the size of the black hole interior captures the quantum gate complexity of the underlying boundary evolution. In this short note we aim to provide a further microscopic evidence for this by directly relating…

High Energy Physics - Theory · Physics 2025-04-09 Alexey Milekhin

Classical background independence is reflected in Lagrangian general relativity through covariance under the full diffeomorphism group. We show how this independence can be maintained in a Hamilton-Jacobi approach that does not accord…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Donald Salisbury , Jürgen Renn , Kurt Sundermeyer

Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Martin Bojowald

Recent breakthroughs have opened the possibility to intermediate-scale quantum computing with tens to hundreds of qubits, and shown the potential for solving classical challenging problems, such as in chemistry and condensed matter physics.…

Quantum Physics · Physics 2025-10-30 Zhong-Xia Shang , Ming-Cheng Chen , Xiao Yuan , Chao-Yang Lu , Jian-Wei Pan

We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Joshua Erlich

The loop quantization of the conformal Brans-Dicke cosmology is explored in the spatially flat and Bianchi-I setting. The scalar and conformal constraints governing the canonical model are quantized using the loop techniques. The physical…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Chun-Yen Lin , Xiangjing Liu , Yongge Ma , Cong Zhang
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