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Quantum field theory (QFT) based on the principles of special relativity (SR) and it is in fact the \emph{kinematic theory of fields}. The root assumption is that there is "relativistic description" of \emph{any} isolated quantum system in…

General Physics · Physics 2018-08-02 Peter Leifer

The problem of motion in General Relativity has lost its academic status and become an active research area since the next generation of gravity wave detectors will rely upon its solution. Here we will show, within scalar gravity, how ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Porto , Riccardo Sturani

We complete our previous recent review on noncommutative field theory, discussing in particular the constructive aproach to the Grosse-Wulkenhaar theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories at high energy…

Mathematical Physics · Physics 2007-11-13 Vincent Rivasseau

It has been shown that the criticism of Pauli as well as of Susskind and Glogover may be avoided if the standard quantum-mechanical mathematical model has been suitably extended. There is not more any reason for Einstein's citicism, either,…

Quantum Physics · Physics 2009-11-13 Milos V. Lokajicek

Motivated by known facts about effective field theory and non-Abelian gauge theory, we argue that the post-Newtonian approximation might fail even in the limit of weak fields and small velocities for wide-extended rotating bodies, where…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Marco Galoppo , Giorgio Torrieri

This is a reply to the the nucl-th/0203059 manuscript by Botvina and Mishustin. We show that their pressure versus volume curves (converging to finite values when the system's density approaches the normal nuclear density) are not…

Nuclear Theory · Physics 2009-11-10 Al. H. Raduta , Ad. R. Raduta

We consider generalizations of kinetic granular gas models given by Boltzmann equations of Maxwell type. These type of models for non-linear elastic or inelastic interactions, have many applications in physics, dynamics of granular gases,…

Mathematical Physics · Physics 2009-01-27 A. V. Bobylev , C. Cercignani , I. M. Gamba

We discuss a non-relativistic contraction of massive and massless field theories minimally coupled to gravity. Using the non-relativistic limiting procedure introduced in our previous work, we (re-)derive non-relativistic field theories of…

High Energy Physics - Theory · Physics 2016-08-17 Eric Bergshoeff , Jan Rosseel , Thomas Zojer

Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the velocity field behaves to leading order like…

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

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

We consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the case of a general force) and we establish some (polynomial and…

Analysis of PDEs · Mathematics 2020-10-12 Otared Kavian , Stéphane Mischler , Mamadou Ndao

We propose a generalizing gauge-invariant model of propagating torsion which couples to the Maxwell field and to charged particles. As a result we have an Abelian gauge invariant action which leads to a theory with nonzero torsion and which…

General Relativity and Quantum Cosmology · Physics 2015-05-04 R. Fresneda , M. C. Baldiotti , T. S. Pereira

In the recent work~\cite{Wang:2021p2}, the author proposed the expanded Maxwell's equations for moving charged media system, which seems subtle. Considering a very short time, we can approximately define the inertial frame of reference. If…

Classical Physics · Physics 2022-02-15 Chuang Li , Junle Pei , Tianjun Li

It is argued that the relativistic Vlasov--Maxwell equations of the kinetic theory of plasma approximately describe a relativistic system of $N$ charged point particles interacting with the electromagnetic Maxwell fields in a…

Plasma Physics · Physics 2020-08-12 Michael K. -H. Kiessling , Yves Elskens

In this Comment I argue that Silveirinha's criticism of my earlier work [M.G.Silveirinha, Phys.Rev.B 80, 235120 2009)] is based on an unphysical excitation model which involves an "external current" which overlaps with a continuous medium…

Optics · Physics 2010-11-19 Vadim A. Markel

We generalize Maxwell equations which describe the vacuum of quantum electrodynamics into the quantum form. This nontraditional approach is different from the widely used theory|-Quantum Electrodynamics. From another viewpoint, it could be…

General Physics · Physics 2010-04-27 Y. Chen , F. L. Zhang , J. L. Chen

Recently in Phys. Rev. D 88, 027504 (2013) Yoon has suggested that there may be problems for the non-relativistic limit of the conformal gravity theory. Here we show that Yoon's results only hold because of the assumption that gravitational…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Philip D. Mannheim

To test kinetic theories, simple and practical setups are proposed. It turns out that these setups cannot be treated by Boltzmann's equation. An alternative method, called the path-integral approach, is then employed and a number of…

Statistical Mechanics · Physics 2007-05-23 C. Y. Chen

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

We discuss conservation laws for gravity theories invariant under general coordinate and local Lorentz transformations. We demonstrate the possibility to formulate these conservation laws in many covariant and noncovariant(ly looking) ways.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yuri N. Obukhov , Guillermo F. Rubilar