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We give an exact information-theory treatment of the $n$-dimensional black-body radiation process in a non-extensive scenario. We develop a $q$ generalization of the laws of i) Stefan Boltzmann, ii) Planck, and iii) Wien, and show that…

Statistical Mechanics · Physics 2009-11-07 S. Martinez , F. Pennini , C. Tessone , A. Plastino

We consider an electric charge, minimally coupled to the Maxwell field, rotating around a Schwarzschild black hole. We investigate how much of the radiation emitted from the swirling charge is absorbed by the black hole and show that most…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jorge Castineiras , Luis C. B. Crispino , George E. A. Matsas , Rodrigo Murta

Starting from the knowledge of the four fundamental quantities length L, mass M, time T, absolute temperature $\theta$ and accepting the validity of Gauss's law in all dimensions, we generalize, by the theory of physical dimensions, the…

General Physics · Physics 2007-05-23 A. G. Agnese , M. La Camera , E. Recami

The free photon dispersion relation is a reference quantity for high precision tests of Lorentz Invariance. We first outline theoretical approaches to a conceivable Lorentz Invariance Violation (LIV). Next we address phenomenological tests…

High Energy Physics - Theory · Physics 2010-01-16 Wolfgang Bietenholz

Quantum field theory in a semiclassical background can be derived as an approximation to quantum gravity from a weak-coupling expansion in the inverse Planck mass. Such an expansion is studied for evolution on "nice-slices" in the spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

The blackbody radiation problem within classical physics is reviewed. It is again suggested that conformal symmetry is the crucial unrecognized aspect, and that only scattering by classical electromagnetic systems will provide equilibrium…

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

We study thermal radiation outside equilibrium. The situation considered consists of two bodies emitting photons at two different temperatures. We show that the system evolves to a stationary state characterized by an energy current which…

Statistical Mechanics · Physics 2017-02-01 Agustin Perez-Madrid , J. Miguel Rubi , Luciano C. Lapas

The quantum Boltzmann equation, or Fokker-Planck equation, has been used to successfully explain a number of experiments in semiconductor optics in the past two decades. This paper reviews some of the developments of this work, including…

Statistical Mechanics · Physics 2010-11-18 D. W. Snoke

In this work two systems are analyzed within the framework of the relativistic Boltzmann equation. One of them refers to a description of binary mixtures of electrons and protons and of electrons and photons subjected to external…

Statistical Mechanics · Physics 2014-04-29 Gilberto M. Kremer

In this letter, after briefly discussing the Hawking radiation (HR) as a quantum tunneling, we emphasize that special care must be taken when computing temperature corrections in the presence of Lorentz invariance violation (LIV),…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Ivan P-Castro , Héctor Aguilera-Trujillo , Hugo García-Compeán , Abdel Pérez-Lorenzana

The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion relation. The first-order formalism is considered and the…

High Energy Physics - Theory · Physics 2013-03-04 S. I. Kruglov

The implications of the root singularity of the vacuum polarization tensor near the first pair creation threshold on blackbody radiation are investigated for magnetic fields above the characteristic scale of quantum electrodynamics. We show…

High Energy Physics - Phenomenology · Physics 2025-12-19 Leah Folkerts , Reinhold Egger , Carsten Müller , Selym Villalba-Chávez

The scattering of photons off photons at the one-loop level is investigated. We give a short review of the weak field limit, as given by the first order term in the series expansion of the Heisenberg-Euler Lagrangian. The dispersion…

High Energy Physics - Phenomenology · Physics 2015-06-25 Mattias Marklund

The possibility of the breaking of Lorentz symmetry has been discussed in many models of quantum gravity. In this paper we follow the Lorentz violation model in Ref. [1] (i.e., our previous work) to discuss the Doppler frequency shift of…

General Physics · Physics 2025-03-06 Jinwen Hu , Huan Hu

We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with the thermal and zeropoint electromagnetic fields…

Quantum Physics · Physics 2009-10-28 H. M. França , A. Maia , C. P. Malta

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

Quantization prescriptions that realize generalized uncertainty relations (GUP) are motivated by quantum gravity arguments that incorporate a fundamental length scale. We apply two such methods, polymer and deformed Heisenberg quantization,…

High Energy Physics - Theory · Physics 2013-08-09 Viqar Husain , Sanjeev S. Seahra , Eric J. Webster

We explore a possible connection between two aspects of Loop Quantum Gravity which have been extensively studied in the recent literature: the black-hole area-entropy law and the energy-momentum dispersion relation. We observe that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia , Michele Arzano , Andrea Procaccini

In the present work, an expression for Planck Mass or Planck Energy is derived by equating the Compton wavelength with the gravitational radius of the Kerr rotating body. Using the modified photon energy-momentum dispersion relation, the…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Anuj Kumar Dubey , A. K. Sen , Sonarekha Nath

We study the quantum propagator in the semiclassical limit with sharp confining potentials. Including the energy-dependent scattering phase due to sharp confining potential, the modified Van Vleck's formula is derived. We also discuss the…

Condensed Matter · Physics 2009-11-10 Wei Chen , Tzay-Ming Hong , Hsiu-Hau Lin