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Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient $\sigma$. Assume that, on the boundary of the half-space, the radiation intensity satisfies the Lambert (i.e. diffuse)…

Analysis of PDEs · Mathematics 2018-09-18 Claude Bardos , François Golse , Iván Moyano

In 1893, Wien applied the first two laws of thermodynamics to blackbody radiation and derived his displacement theorem. Believing that the information from thermodynamics had been exhausted, Planck turned to statistical ideas in 1900 in…

Statistical Mechanics · Physics 2019-01-15 Timothy H. Boyer

We discuss a mechanical model which mimics the main features of the radiation matter interaction in the black body problem. The pure classical dynamical evolution, with a simple discretization of the action variables, leads to the Stefan-…

Quantum Physics · Physics 2007-05-23 Giulio Casati

We consider the scattering of lightlike matter in the presence of a heavy scalar object (such as the Sun or a Schwarzschild black hole). By treating general relativity as an effective field theory we directly compute the nonanalytic…

High Energy Physics - Theory · Physics 2017-04-20 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Planté , Pierre Vanhove

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Martin Bojowald , Hugo A. Morales-Tecotl

The cosmic background radiation has been observed to deviate from the Planck law expected from a blackbody at $\sim$ 2.7 K at frequencies below $\sim 3$ GHz. We discuss the abundance of the low-energy photons from the perspective of…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-24 Marco Baiesi , Carlo Burigana , Livia Conti , Gianmaria Falasco , Christian Maes , Lamberto Rondoni , Tiziana Trombetti

In this paper, we investigate the effects of spatial curvature on blackbody radiation. By employing an analog model of general relativity, we replace the conventional straight-line harmonic oscillators used to model blackbody radiation with…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Somayeh Kourkinejat , Ali Mahdifar , Ehsan Amooghorban

We consider a CPT-noninvariant scalar model and a modified version of quantum electrodynamics with an additional photonic Chern-Simons-like term in the action. In both cases, the Lorentz violation traces back to a spacelike background…

High Energy Physics - Theory · Physics 2008-11-26 C. Kaufhold , F. R. Klinkhamer

We investigate the semiclassical approach to the lensing of photons in a spherically symmetric gravitational background, starting from Born level and include in our analysis the radiative corrections obtained from the electroweak theory for…

High Energy Physics - Phenomenology · Physics 2021-07-29 Claudio Coriano , Luigi Delle Rose , Matteo Maria Maglio , Mirko Serino

A semiclassical kinetic theory is presented for the fluctuating photon flux emitted by a disordered medium in thermal equilibrium. The kinetic equation is the optical analog of the Boltzmann-Langevin equation for electrons. Vacuum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , C. W. J. Beenakker

In this work, we study the electromagnetic energy and energy rate spectra produced by a point particle in the presence of plane wave fields. Our approach is based on a semiclassical formulation, in which the current distribution that…

Quantum Physics · Physics 2025-07-29 T. C. Adorno , A. J. D. Farias Junior , D. M. Gitman

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in…

High Energy Physics - Theory · Physics 2010-11-19 Diego D. Dalvit , Francisco D. Mazzitelli , Carmen Molina-Paris

We consider a new set of effects arising from the quantum gravity corrections to the propagation of fields, associated with fluctuations of the spacetime geometry. Using already existing experimental data, we can put bounds on these effects…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniel Sudarsky , Luis Urrutia , Hector Vucetich

It is shown that the vacuum state in presence of Lorentz violation can be followed by a particle-full universe that represents the current status of the universe. In this model the modification in dispersion relation (Lorentz violation) is…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Nima Khosravi

The construction of effective Hamiltonians arising from Loop Quantum Gravity and incorporating Planck scale corrections to the dynamics of photons and spin 1/2 particles is summarized. The imposition of strict bounds upon some parameters of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Luis F. Urrutia

A satisfactory theory of quantum gravity will very likely require modification of our classical perception of space-time, perhaps by giving it a 'foamy' structure at scales of order the Planck length. This is expected to modify the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subir Sarkar

A derivation of the Planck spectrum for thermal radiation is given based upon wave fluctuations within relativistic classical physics. The derivation depends crucially on thermal fluctuations existing above the fundamental…

High Energy Physics - Phenomenology · Physics 2024-04-17 Timothy H. Boyer

The relentless efforts of the physics community has not yet availed us the solution of how to unify the Quantum Mechanics with General Relativity, a puzzle that has engaged the minds of the physicists for almost a century. The insufficiency…

High Energy Physics - Phenomenology · Physics 2016-02-25 Soner Albayrak

We explore the connections between the constraints on the precision of quantum logical operations that arise from a conservation law, and those arising from quantum field fluctuations. We show that the conservation-law based constraints…

Quantum Physics · Physics 2009-11-11 Julio Gea-Banacloche , Masanao Ozawa

We study the propagation of light bundles in non-empty spacetime, as most of the Universe is filled by baryonic matter in the form of a (dilute) plasma. Here we restrict to the case of a cold (i.e., pressureless) and non-magnetised plasma.…

General Relativity and Quantum Cosmology · Physics 2017-10-20 Karen Schulze-Koops , Volker Perlick , Dominik J. Schwarz
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