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A formal series transformation to Birkhoff-Gustavson normal form is obtained for toroidal magnetic field configurations in the neighborhood of a magnetic axis. Bishop's rotation-minimizing coordinates are used to obtain a local orthogonal…

Mathematical Physics · Physics 2023-06-08 Nathan Duignan , James D. Meiss

We discuss the Cherenkov process $\nu\to\nu\gamma$ in the presence of a homogeneous magnetic field. The neutrinos are taken to be massless with only standard-model couplings. The magnetic field fulfills the dual purpose of inducing an…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Ioannisian , G. Raffelt

The mere principle of relativity and Lorentz transformations for the mass current predict, in close analogy to electromagnetism, the existence of gravitomagnetic fields. With the reasonable assumption of the non existence of a…

General Physics · Physics 2013-09-05 P. Christillin , L. Barattini

A quantum inequality for the quantized electromagnetic field is developed for observers in static curved spacetimes. The quantum inequality derived is a generalized expression given by a mode function expansion of the four-vector potential,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael J. Pfenning

Effective field theories (EFT) are strongly constrained by fundamental principles such as unitarity, locality, causality, and Lorentz invariance. In this paper, we consider the EFT of photons (or other $U(1)$ gauge field) and compare…

High Energy Physics - Theory · Physics 2023-07-12 Mariana Carrillo González , Claudia de Rham , Sumer Jaitly , Victor Pozsgay , Anna Tokareva

We derive an arbitrary-gauge criterion under which condensed matter within an electromagnetic field may transition to a photon condensed phase. Previous results are recovered by selecting the Coulomb-gauge wherein photon condensation can…

Quantum Physics · Physics 2023-05-24 Dominic M. Rouse , Adam Stokes , Ahsan Nazir

We show that the transformation equation for the tardyon velocity involves two generic functions which in turn depend on the relative velocity of the involved reference frames, on the tardyon velocity u and on the polar angle which define…

General Physics · Physics 2007-07-03 Bernhard Rothenstein , Stefan Popescu

For twisted particles in arbitrary gravitational fields, the problems of the rotation of intrinsic orbital angular momentum and the orbital Hall effect are solved in the general case. We need not use the Maxwell equations in curved…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Alexander J. Silenko

It is common practice to take for granted the equality (up to the constant $\varepsilon_0$) of the electric displacement ($\bf{D}$) and electric ($\bf{E}$) field vectors in vacuum. The same happens with the magnetic field ($\bf{H}$) and the…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Sébastien Fumeron , Fernando Moraes , Bertrand Berche

A natural modification of the equations of covariantly-constant vector fields (CCVF) in Weyl geometry leads us to consider a metric compatible geometry possessing conformal curvature and torsion fully determined by its trace. The latter is…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Vladimir V. Kassandrov , Joseph A. Rizcallah

Within the Sommerfeld atomic model the quantization of magnetic flux through the electronic orbits is investigated together with its dependency on additional sources of magnetic fields. These sources alter the magnetic flux through the…

Quantum Physics · Physics 2013-02-26 W. -D. R. Stein

We study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant. These configurations are thus…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Marcello Ortaggio

The classical phenomenon of the redshift of light in a static gravitational potential, usually called the gravitational redshift, is described in the literature essentially in two ways: on the one hand the phenomenon is explained through…

Physics Education · Physics 2008-11-26 L. B. Okun , K. G. Selivanov , V. L. Telegdi

In this paper we construct an effective field theory (EFT) that describes long wavelength gravitational radiation from compact systems. To leading order, this EFT consists of the multipole expansion, which we describe in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Walter D. Goldberger , Andreas Ross

A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenboeck connection. In a tetrad…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , P. B. Barros , J. G. Pereira

We employ linearized quantum gravity to study gravitational redshift of photons in the context of relativistic and quantum physics, where photons interact in flat spacetime with a classical massive body via graviton exchange. We find that…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Alessio Lapponi , Alessandro Ferreri , David Edward Bruschi

We present some new derivations of the effect of a plane gravitational wave on a light ray. A simple interpretation of the results is that a gravitational wave causes a phase modulation of electromagnetic waves. We arrive at this picture…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Raymond Angélil , Prasenjit Saha

A method based on the path integral approach is engaged to consider the gravitational emission from a quantum mechanical bound system in a locally inertial frame. In such a frame, interaction between the electromagnetic (bound potential)…

General Relativity and Quantum Cosmology · Physics 2015-06-12 A. Jahan

During the past century, the electromagnetic field momentum in material media has been under debate in the Abraham-Minkowski controversy as convincing arguments have been advanced in favor of both the Abraham and Minkowski forms of photon…

Quantum Physics · Physics 2017-07-17 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki

A modified-gravity theory with a four-form field strength $F$, a variable gravitational coupling parameter $G(F)$, and a standard matter action is considered here. Maxwell and Einstein equations are now derived when including to action also…

General Relativity and Quantum Cosmology · Physics 2017-07-27 Matti Savelainen