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The Standard Model of elementary particle physics is one of the most successful models of contemporary physics, its predictions being in full agreement with experiments. In this manuscript we consider the Lagrangian of the Standard Model as…

Differential Geometry · Mathematics 2026-05-12 Volker Branding , Adam Lindström , Marko Sobak

There exist at least a few different kind of averaging of the differences of the energy-momentum and angular momentum in normal coordinates {\bf NC(P)} which give tensorial quantities. The obtained averaged quantities are equivalent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Garecki

For the electromagnetic interaction of two particles the relativistic quantum mechanics equations are proposed. These equations are solved for the case when one particle has a small mass and moves freely. The initial wave functions are…

High Energy Physics - Theory · Physics 2009-11-02 Yury M. Zinoviev

In this paper, we elaborate the problem of energy-momentum in General Relativity with the help of some well-known solutions. In this connection, we use the prescriptions of Einstein, Landau-Lifshitz, Papapetrou and M\"{o}ller to compute the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Sharif , M. Azam

We present a new type of energy-momentum tensor and angular momentum tensor. They are motivated by a special consideration in quantum measurement: Given a wave in mutual eigen-state of more than one physical observables, the corresponding…

General Physics · Physics 2017-01-31 Zhen-Lai Wang , De-Tian Yang , Zi-Wei Chen , Tao Lei , Xiang-Song Chen

We study the implications of time-varying wave mechanics, and show how the standard wave equation is modified if the speed of a wave is not constant in time. In particular, waves which experience longitudinal acceleration are shown to have…

Optics · Physics 2023-04-18 Matias Koivurova , Charles W. Robson , Marco Ornigotti

The momentum of light in dielectric media has been a century-long controversy that continues to attract significant interest. In a linear dielectric medium with refractive index n, the momentum is predicted to be smaller by a factor of n…

Optics · Physics 2025-09-23 Adam B. Cahaya

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

Mathematical Physics · Physics 2015-06-18 Alexander G. Ramm

The ambiguity of macroscopic description of light pressure on continuous medium originates from the uncertainty of dividing the energy-momentum tensor of electromagnetically excited matter into material and field parts or, equivalently, the…

Optics · Physics 2015-06-15 M. V. Gorkunov , A. V. Kondratov

The energy--momentum tensor and the tensor continuity equation serve as the conservation laws of energy, linear momentum, and angular momentum for a continuous flow. Previously, we derived equations of motion for macroscopic electromagnetic…

Classical Physics · Physics 2015-03-26 Michael E. Crenshaw

We study the behavior of wave propagation in materials for which not all of the principle elements of the permeability and permittivity tensors have the same sign. We find that a wide variety of effects can be realized in such media,…

Materials Science · Physics 2009-11-07 D. R. Smith , D. Schurig

The motion of a system of particles under electromagnetic interaction is considered. Under the assumption that the force acting on an electric charge is given by the sum of the electromagnetic fields produced by any other charged particles…

General Physics · Physics 2007-05-23 O. Chavoya-Aceves

In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. W. Maluf

Momentum transfer between matter and electromagnetic field is analyzed. The related equations of motion and conservation laws are derived using relativistic formalism. Their correspondence to various, at first sight self-contradicting,…

Optics · Physics 2010-08-16 A. Feigel

We present arguments in favor of the proposition that the momentum of light inside a transparent dielectric medium is the arithmetic average of the Minkowski and Abraham momenta. Using the Lorentz transformation of the fields (and of the…

Optics · Physics 2012-07-27 Masud Mansuripur

We analytically study the time-averaged electromagnetic energy stored inside scatterers containing inclusions of arbitrary shapes. Assuming the low density of inclusions, we derive the expression for the energy-transport velocity through…

Optics · Physics 2017-10-02 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

The article proposes an amendment to the relativistic continuum mechanics which introduces the relationship between density tensors and the curvature of spacetime. The resulting formulation of a symmetric stress-energy tensor for a system…

General Physics · Physics 2023-12-19 Piotr Ogonowski

The interpretation of the energy-momentum tensor form factor $D(t)$ of hadrons in terms of pressure and shear force distributions is discussed, concerns raised in the literature are reviewed, and ways to reconcile the concerns with the…

High Energy Physics - Phenomenology · Physics 2025-04-24 Cédric Lorcé , Peter Schweitzer

We perform various lattice numerical analyses with the energy-momentum tensor (EMT) defined through the gradient flow. We explore the spatial distribution of the stress tensor in static quark-anti-quark systems and thermodynamic quantities…

High Energy Physics - Lattice · Physics 2019-01-23 Masakiyo Kitazawa

The Lorentz force law of classical electrodynamics requires the introduction of hidden energy and hidden momentum in situations where an electric field acts on a magnetic material. In contrast, the Einstein-Laub formulation does not invoke…

Classical Physics · Physics 2014-09-23 Masud Mansuripur