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Related papers: Stefan-Boltzmann law for massive photons

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Under certain conditions the number of photons radiated classically by a charged particle following a prescribed trajectory can be finite. An interesting formula for this number is presented and discussed.

High Energy Physics - Theory · Physics 2008-11-26 L. Stodolsky

Thermodynamics is accepted as a universal truth, encompassing all macroscopic objects. Therefore, it is surprising to find that, within our current understanding, the photovoltaic effect has so far eluded the first and second laws of…

Statistical Mechanics · Physics 2020-12-22 Ido Frenkel , Avi Niv

Working with the assumption of non-zero photon mass and a trajectory that is described by the non geodesic world line of a spinning top we find, by deriving new astrophysical bounds, that this assumption is in contradiction with current…

High Energy Physics - Phenomenology · Physics 2013-01-25 Sergio A. Hojman , Benjamin Koch

One of the cornerstones of modern physics is Einstein's special relativity, with its constant speed of light and zero photon mass assumptions. Constraint on the rest mass m_{\gamma} of photons is a fundamental way to test Einstein's theory,…

High Energy Astrophysical Phenomena · Physics 2016-10-03 Bo Zhang , Ya-Ting Chai , Yuan-Chuan Zou , Xue-Feng Wu

Current constraints on photon velocity variability are summarized and displayed in terms of an energy dependent vacuum refraction index. It is shown that the energy-momentum balance of high energy Compton scattering is very sensitive to the…

High Energy Physics - Experiment · Physics 2012-11-13 V. Gharibyan

The thermal radiation of small conducting particles was investigated in the region where the Stephan-Boltzmann law is not valid and strongly overestimates radiation losses. The new criterion for the particle size, at which black body…

Optics · Physics 2009-11-11 Yu. V. Martynenko , L. I. Ognev

The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neutron transport, radiative transfer, semiconductors and ocean…

Mathematical Physics · Physics 2015-02-17 Jens Marklof , Andreas Strömbergsson

The total red shift $z$ might be recast as a combination of the expansion red shift and a static shift due to the energy-momentum tensor non-conservation of a photon propagating through Electro-Magnetic (EM) fields. If massive, the photon…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-25 Alessandro D. A. M. Spallicci , José A. Helayël-Neto , Martin López-Corredoira , Salvatore Capozziello

In a generalized Heisenberg/Schroedinger picture we use an invariant space-time transformation to describe the motion of a relativistic particle. We discuss the relation with the relativistic mechanics and find that the propagation of the…

High Energy Physics - Theory · Physics 2011-09-13 Rudolf A. Frick

There are several ways to derive Einstein's celebrated formula for the energy of a massive particle at rest, $E=mc^2$. Noether's theorem applied to the relativistic Lagrange function provides an unambiguous and straightforward access to…

Classical Physics · Physics 2023-08-08 A. V. Nenashev , S. D. Baranovskii , F. Gebhard

The nature of superluminal photon propagation in the gravitational field describing radiation from a time-dependent, isolated source (the Bondi-Sachs metric) is considered in an effective theory which includes interactions which violate the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. M. Shore

The photon is modeled as a monochromatic solution of Maxwell's equations confined as a soliton wave by the principle of causality of special relativity. The soliton travels rectilinearly at the speed of light. The solution can represent any…

Quantum Physics · Physics 2015-06-26 Geoffrey Hunter , Marian Kowalski , Camil Alexandrescu

To ensure the light (emitted far away from the source of gravity) can arrive at the null infinity of an asymptotically flat spacetime, it is shown that the rate of Bondi mass aspect has to satisfy some conditions. In Einstein gravity…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Li-Ming Cao , Long-Yue Li , Liang-Bi Wu

The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start from the standard Boltzmann equation, averaging over frequencies leads to appearance of fractional derivative. This fact is in accordance…

Plasma Physics · Physics 2010-08-27 Vladimir V. Uchaikin , Renat T. Sibatov

We present a new dispersion relation for photons that are nonlinearly interacting with a radiation gas of arbitrary intensity due to photon-photon scattering. It is found that the photon phase velocity decreases with increasing radiation…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Marklund , P. K. Shukla , B. Eliasson

The "Reduced Speed of Light" (RSL) approximation is commonly used to speed up radiative transfer calculations in cosmological simulations. However, it has been shown previously that the RSL approximation leads to photon non-conservation in…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-03 Nickolay Y. Gnedin

The relativistic Boltzmann equation for a constant differential cross section and with periodic boundary conditions is considered. The speed of light appears as a parameter $c>c_0$ for a properly large and positive $c_0$. A local existence…

Mathematical Physics · Physics 2009-11-10 Simone Calogero

In this paper, using the viewpoint that quantum mechanics can be constructed as a classical field theory without any quantization I build a fully classical theory of thermal radiation. Planck's law for the spectral energy density of thermal…

General Physics · Physics 2016-04-19 Sergey A. Rashkovskiy

We find dispersion laws for the photon propagating in the presence of mutually orthogonal constant external electric and magnetic fields in the context of the $\theta $-expanded noncommutative QED. We show that there is no birefringence to…

High Energy Physics - Theory · Physics 2015-04-07 R. Fresneda , D. M. Gitman , A. E. Shabad

Recently, we predicted the existence of fundamental particles in Nature, neutral Light Particles with spin 1 and rest mass $m=1.8\times 10^{-4} m_e$, in addition to electrons, neutrons and protons. We call these particles Light Bosons…

General Physics · Physics 2011-02-16 V. N. Minasyan , V. N. Samoylov