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It is argued that the nonintegrably singular energy density of the electron's electromagnetic field (in both the classical point-charge model and quantum electrodynamics) must entail very strong self-gravitational effects, which, via black…

High Energy Physics - Theory · Physics 2009-09-25 S. K. Kauffmann

It is shown that black holes in a quark gluon plasma (QGP) obeying minimum viscosity bounds, exhibit a Schwarzschild radius in close match with the range of the strong force. For such black holes, an evaporation time of about 1016 secs is…

High Energy Physics - Theory · Physics 2024-07-30 P. G. Tello , Sauro Succi

Quantum fluctuations of the spacetime metric induce an uncertainty in the horizon area of a black hole. Working in linearized quantum gravity, we derive the variance in the area of a four-dimensional Schwarzschild black hole from the…

High Energy Physics - Theory · Physics 2025-08-05 Maulik Parikh , Jude Pereira

The undergraduate courses on modern physics generally consider the particle interpretation of Compton effect. Motivated by a student's solution in an undergraduate examination on modern physics here we consider the wave characteristics of…

General Physics · Physics 2013-06-04 Vinay Venugopal , Piyush S Bhagdikar

We compute the gravitational waveform associated with a radially infalling particle in a Schwarzschild black hole working in the center-of-mass system and in a post-Newtonian (PN) approximation. Our results reach the highest accuracy level…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Giorgio Di Russo , Donato Bini

We consider the evolution of the orbit of a spinning compact object in a quasi-circular, planar orbit around a Schwarzschild black hole in the extreme mass ratio limit. We compare the contributions to the orbital evolution of both…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko

The problem of consistent formulation of the correspondence principle in quantum gravity is considered. The usual approach based on the use of the two-particle scattering amplitudes is shown to be in disagreement with the classical result…

High Energy Physics - Theory · Physics 2014-11-18 Kirill A. Kazakov

We investigate the electromagnetic radiation emitted by a charged particle orbiting a four-dimensional Schwarzschild--de Sitter black hole using a semiclassical approach. We calculate the probability amplitude for the charged particle to…

General Relativity and Quantum Cosmology · Physics 2025-12-01 João P. B. Brito , Rafael P. Bernar , Luís C. B. Crispino

In this paper we first give arguments supporting the idea that a B.T.Z black hole can face a transplankian problem even when its mass is small. K.M.M quantum theory is applied to the Hawking evaporation of the Schwarzchild and B.T.Z black…

High Energy Physics - Theory · Physics 2009-10-31 Musongela Lubo

A foundational theorem due to Buchdahl states that, within General Relativity (GR), the maximum compactness $\mathcal{C}\equiv GM/(Rc^2)$ of a static, spherically symmetric, perfect fluid object of mass $M$ and radius $R$ is…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Artur Alho , José Natário , Paolo Pani , Guilherme Raposo

If two ultrarelativistic nonrotating black holes of masses $m_1$ and $m_2$ approach each other with fixed center-of-momentum (COM) total energy $E = \sqrt{s} \gg (m_1+m_2)c^2$ that has a corresponding Schwarzschild radius $R = 2GE/c^4$ much…

General Relativity and Quantum Cosmology · Physics 2022-10-10 Don N. Page

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

In this paper, we have presented the studies of the motion of magnetized particles and energetic processes around Schwarzschild black holes in modified gravity (MOG). The study of circular stable orbits shows that orbits of magnetized…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Kamoliddin Haydarov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Satimbay Palvanov , Dilfuza Begmatova

An Extended Uncertainty Principle inspired Schwarzschild metric that allows for large scale modifications to gravitation is presented. At a new fundamental length scale $\Ls$, the usual black hole characteristics (horizon radius, ISCO, and…

General Relativity and Quantum Cosmology · Physics 2018-12-24 J. R. Mureika

The uncertainty principle is deemed as one of cornerstones in quantum mechanics, and exploring its lower limit of uncertainty will be helpful to understand the principle's nature. In this study, we propose a generalized entropic uncertainty…

Quantum Physics · Physics 2024-07-19 Tian-Yu Wang , Dong Wang

According to a variant of the hoop conjecture, if we localize two particles within the Schwarzschild radius corresponding to their center of mass energy, then a black hole will form. Despite a large body of work on the formation of…

General Relativity and Quantum Cosmology · Physics 2018-06-01 Anshul Saini , Dejan Stojkovic

Quantum entanglement of Hawking radiation has been supposed to give rise to a Planck density "firewall" near the event horizon of old black holes. We show that Planck density firewalls are excluded by Einstein's equations for black holes of…

General Relativity and Quantum Cosmology · Physics 2014-03-06 M. A. Abramowicz , W. Kluźniak , J. -P. Lasota

In this article, we investigate the assumption of equipartition of energy in arguments for the entropic nature of gravity. It has already been pointed out by other authors that equipartition is not valid for low temperatures. Here we…

General Relativity and Quantum Cosmology · Physics 2011-11-08 Hanno Sahlmann

We consider the modification of a single particle Schr\"{o}dinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the' mass-density'that enters this term is given by $m…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vikram Soni

Compton wavelength and Schwarzschild radius are considered here as limiting cases of a unified length scale. Using this length, it is shown that the Dirac equation and the Einstein equations for a point mass are limiting cases of an…

General Relativity and Quantum Cosmology · Physics 2018-11-12 Swanand Khanapurkar , Tejinder P. Singh
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