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We discuss transormation laws of electric and magnetic fields under Lorentz transformations, deduced from the Classical Field Theory. It is found that we can connect the resulting expression for a bivector formed with those fields, with the…

Classical Physics · Physics 2007-05-23 Valeri V. Dvoeglazov , J. L. Quintanar Gonzalez

A hypothetical photon mass, $m_\gamma$, gives an energy-dependent light speed in a Lorentz-invariant theory. Such a modification causes an additional time delay between photons of different energies when they travel through a fixed…

High Energy Physics - Phenomenology · Physics 2017-06-20 Lijing Shao , Bing Zhang

Simple analytic formulas are considered for the energy radiated in low frequency bremsstrahlung from fully ionized gases. A formula that has been frequently cited over many years turns out to have only a limited range of validity, more…

Astrophysics of Galaxies · Physics 2019-05-08 Steven Weinberg

In the standard model of particle physics, photons are mass-less particles with a particular dispersion relation. Tests of this claim at different scales are both interesting and important. Experiments in territory labs and several…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-09 Lei Qian

Before we discuss the deflection of light in a gravitational field, we give a brief overview of some basic physical formulas on photon properties, generation and propagation. The much debated problems of the redshift and the photon…

History and Philosophy of Physics · Physics 2025-12-12 Klaus Wilhelm , Bhola N. Dwivedi , Karsten Muller

The radiative instability of a beam moving in a photonic crystal of finite dimensions is studied. The dispersion equation is obtained. The law $\Gamma\sim \rho ^{1/\left( {s + 3} \right)}$ is shown to be valid and caused by the mixing of…

Accelerator Physics · Physics 2010-11-15 V. G. Baryshevsky , A. A. Gurinovich

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

A high energy power law is a common feature in the spectra of many astrophysical objects. We show that the photons in a relativistic plasma with a variable Lorentz factor go through repeated scattering with electrons to gain energy. The…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Mukesh K. Vyas , Asaf Pe'er

The integral law of thermal radiation by finite size emitters is studied. Two geometrical characteristics of a radiating body or a cavity, its volume and its boundary area, define two terms in its radiance. The term defined by the volume…

Classical Physics · Physics 2018-01-03 Yuri V. Gusev

The concept of Scwartzschild radius is extended to the photon and the upper limit imposed on the energy of a photon as a result of the three characteristics of the photon--the constancy of the velocity of light, the spin value of $1\hslash$…

General Physics · Physics 2007-05-23 C. Radhakrishnan Nair

The general form of the Stefan-Boltzmann law for the energy density of black-body radiation is generalized to a spacetime with extra dimensions using standard kinetic and thermodynamic arguments. From statistical mechanics one obtains an…

Quantum Physics · Physics 2008-11-26 H. Alnes , F. Ravndal , I. K. Wehus

While the numerical value of the speed of light is known with extraordinary precision, its theoretical definition remains a subject of fundamental interest. We show that the definition of mass and velocity of light follow from the conserved…

Optics · Physics 2025-09-17 Volodimir Simulik , Denys I. Bondar

The influence of radiative corrections on the photon propagation in a gravitational background is investigated without the low-frequency approximation $\omega \ll m$. The conclusion is made in this way that the velocity of light can exceed…

General Relativity and Quantum Cosmology · Physics 2009-10-22 I. B. Khriplovich

While it has often been proposed that, fundamentally, Lorentz-invariance is not respected in a quantum theory of gravity, it has been difficult to reconcile deviations from Lorentz-invariance with quantum field theory. The most commonly…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Sabine Hossenfelder

It is pointed out that the traditional explanation for the observation of a non-zero energy h nu for light in free space does not apply for the analogous situation in dispersive media. Because the speed of light u is no longer equal to c in…

General Physics · Physics 2007-05-23 Robert J. Buenker

We examine the cosmological implications of space-time non-commutativity, discovering yet another realization of the varying speed of light model. Our starting point is the well-known fact that non-commutativity leads to deformed dispersion…

High Energy Physics - Theory · Physics 2010-01-06 Stephon H. S. Alexander , João Magueijo

We investigate cosmology of massive electrodynamics and explore the possibility whether massive photon could provide an explanation of the dark energy. The action is given by the scalar-vector-tensor theory of gravity which is obtained by…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-04 Seyen Kouwn , Phillial Oh , Chan-Gyung Park

The Stefan-Boltzmann (SB) law relates the emissivity $q$, given in $Wm^{-2}$, of an ideal black-body cavity at thermal equilibrium to the fourth power of the absolute temperature $T$ as $q=\sigma T^4$, with $\sigma = 5.67 \times 10^{-8} \ W…

Statistical Mechanics · Physics 2022-05-30 Lino Reggiani , Eleonora Alfinito

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some general arguments suggest that strictly massless charge does not not radiate at all. On the other hand, the regularized classical…

High Energy Physics - Theory · Physics 2015-05-27 D. V. Gal'tsov

We study the blackbody properties and the thermodynamic equilibrium quantities of a photon gas in the framework of nonlinear electrodynamics. In this vein, we take into account the photon propagation in a uniform external magnetic field in…

Statistical Mechanics · Physics 2023-08-23 I. Soares , R. Turcati , S. B. Duarte