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Maxwell electrodynamics, considered as a source of the classical Einstein field equations, leads to the singular isotropic Friedmann solutions. We show that this singular behavior does not occur for a class of nonlinear generalizations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. De Lorenci , R. Klippert , M. Novello , J. M. Salim

Though sufficient for local conservation of charge, we show that Maxwells displacement current is not necessary. An alternative to the Ampere Maxwell equation is exhibited and the alternative s electric and magnetic fields and scalar and…

Classical Physics · Physics 2015-06-23 Alan M. Wolsky

We construct an analytic solution to Maxwell's equations that violates global charge conservation, by building on the possibilities demonstrated in [Foundations of Physics 49, 330 (2019)]. The construction is valid for a spacetime…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Jonathan Gratus , Paul Kinsler , Martin W. McCall

We formulate a nonlinear electrodynamic theory which may be viewed as a weighted theory minimally interpolating the classical Maxwell and Born--Infeld theories. We show that, in contrast to the Born--Infeld theory, this new theory…

High Energy Physics - Theory · Physics 2025-11-14 Tengyang Liu , Yisong Yang

In a recent Physical Review Letter [1] Garcia and Nieto Vesperinas (GNV) dispute the claim of perfect lensing made in [2]. The thrust of the GVN paper is that the solutions proposed in [2] imply infinite energy density and are therefore…

Condensed Matter · Physics 2009-11-07 J. B. Pendry

A nonlocal generalization of quantum field theory in which momentum space is the space of continuous maps of a circle into $\mathbf{R}^4$ is proposed. Functional integrals in this theory are proved to exist. Renormalized quantum field model…

High Energy Physics - Theory · Physics 2007-05-23 Yu. P. Solovyov , V. V. Belokurov , E. T. Shavgulidze

We study radiation reaction in a Lorentz violating electrodynamics [1]. We explore the possible modification whatsoever present in the radiation reaction force experienced by an accelerating charge in the modified Maxwell theory. However it…

Classical Physics · Physics 2017-08-01 Veera Reddy Vippala , Sashideep Gutti , Asrarul Haque

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism…

Statistical Mechanics · Physics 2015-06-24 Pierre-Henri Chavanis

Fundamental inconsistencies of superstatistics are highlighted. There is no such thing as a superposition of Boltzmann factors; what is actually derived is a generating function and not a normalizable probability density. The beta density…

Statistical Mechanics · Physics 2007-05-23 B. H. Lavenda

We argue that the result presented in "Origin of cosmic magnetic fields" by L. Campanelli [arXiv:1304.6534] is unphysical.

Cosmology and Nongalactic Astrophysics · Physics 2013-12-03 Ruth Durrer , Giovanni Marozzi , Massimiliano Rinaldi

In this Letter we validate experimentally the nonextensive statistical field theory, a new general field-theoretic approach introduced recently in the literature. With such an approach, we are capable of computing the critical properties of…

High Energy Physics - Theory · Physics 2024-04-02 P. R. S. Carvalho

Weatherall and Manchak (2014) show that, under reasonable assumptions, Reichenbachean universal effects, constrained to a rank-2 tensor field representation in the geodesic equation, always exist in non-relativistic gravity but not so for…

History and Philosophy of Physics · Physics 2026-03-27 Ruward Mulder

One of the most important problems in Physics is how to reconcile Quantum Mechanics with General Relativity. Some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favor of a more…

Quantum Physics · Physics 2010-02-17 Miguel Navascues , Harald Wunderlich

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

It is well known that mean-field theories fail to reproduce the experimentally known critical exponents. The traditional argument which explain this failure of mean-field theories near a critical point is the Ginsburg criterion in which…

Statistical Mechanics · Physics 2014-03-05 Navinder Singh

We define a theory of noncommutative general relativity for canonical noncommutative spaces. We find a subclass of general coordinate transformations acting on canonical noncommutative spacetimes to be volume-preserving transformations.…

High Energy Physics - Theory · Physics 2008-11-26 Xavier Calmet , Archil Kobakhidze

The present work establishes the mean-field limit of a N-particle system towards a regularized variant of the relativistic Vlasov-Maxwell system, following the work of Braun-Hepp [Comm. in Math. Phys. 56 (1977), 101-113] and Dobrushin…

Analysis of PDEs · Mathematics 2012-07-26 François Golse

The title of the paper leads to an incorrect conclusion as we show that the equilibrium result of the paper is a special limit of a general result for nonequilibrium systems in internal equilibrium already available in the literature. We…

Chemical Physics · Physics 2020-04-17 P. D. Gujrati

While the electromagnetic force is microscopically simply the Lorentz force, its macroscopic form is more complicated, and given by expressions such as the Maxwell stress tensor and the Kelvin force. Their derivation is fairly opaque, at…

Soft Condensed Matter · Physics 2012-07-23 Mario Liu , Klaus Stierstadt

We try to lay down the foundations of a Newtonian theory where inertia and gravitational fields appear in a unified way aiming to reach a better understanding of the general relativistic theory. We also formulate a kind of equivalence…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Xavier Jaén , Alfred Molina