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Interesting phenomena and problems arising from the coupling of large-scale electromagnetic fields and spacetime curvature, are introduced and studied within this thesis. From electromagnetic wave propagation in curved spacetime to…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Panagiotis Mavrogiannis

Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to an anti- symmetric tensor gauge field and using that field to…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Lee Smolin

By constructing a model of spacetime having a strong curvature singularity in which causal geodesics are complete, but more generic causal curves are not, we explicitly show that some electrostatic field configurations on that background…

广义相对论与量子宇宙学 · 物理学 2025-01-28 Franco Fiorini , Juan Manuel Paez

There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky space, in presence of an external magnetic field, analogue…

数学物理 · 物理学 2011-08-30 E. M. Ovsiyuk , V. V. Kisel , V. M. Red'kov

We revisit the relativistic coupling between gravity and electromagnetism, putting particularly into question the status of the latter; whether it behaves as a source or as a form of gravity on large scales. Considering a metric-affine…

广义相对论与量子宇宙学 · 物理学 2023-12-12 Panagiotis Mavrogiannis

We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the…

广义相对论与量子宇宙学 · 物理学 2025-12-25 Vadim Egorov , Mikhail Smolyakov , Igor Volobuev

We define the unit circle for global function fields. We demonstrate that this unit circle (endearingly termed the \emph{$q$-unit circle}, after the finite field $\mathbb{F}_q$ of $q$ elements) enjoys all of the properties akin to the…

数论 · 数学 2018-01-30 Kenneth Ward

We give a derivation for the indirect interaction between two magnetic dipoles induced by the quantized electromagnetic field. It turns out that the interaction between permanent dipoles directly returns to the classical form; the…

量子物理 · 物理学 2018-01-19 Jiaxuan Wang , Hui Dong , Sheng-Wen Li

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

广义相对论与量子宇宙学 · 物理学 2011-03-22 Tekin Dereli , Özcan Sert

Equivalence principles are a major part of modern relativity theory. Gravitational shifts can already be calculated within the time domain as motion shifts, and we examine the consequences of reversing this argument and describing motion…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Eric Baird

We study classical and quantum aspects of electromagnetic perturbations on black hole space-times. We develop an elegant formalism introduced by Wald, which sets up the theory of linear perturbations in a Type-D background in a compact and…

广义相对论与量子宇宙学 · 物理学 2008-02-14 Marc Casals

Electromagnetic quantities such as energy density, momentum, spin, and helicity bring meaning and intuition to electromagnetism and possess intricate interrelations, particularly prominent in complex non-paraxial near-fields. These…

A model is proposed for the classical electron as a point charge with finite electromagnetic self-energy. Modifications of the Reissner-Nordstr{\o}m (spin 0) and Kerr-Newman (spin 1/2) solutions of the Einstein-Maxwell equations are…

数学物理 · 物理学 2014-11-18 S. M. Blinder

Mathematical tools related to coherence theory and classical-quantum equivalence, due to Wigner and Glauber, are essential to modern, practical and empirical understanding of electromagnetics in areas like quantum optics and…

量子物理 · 物理学 2008-04-25 Paul J. Werbos

The electric and magnetic fields are investigated on the basis of quantum vacuum. The analysis of the electromagnetic energy and force indicates that an electric field is a polarized distribution of the vacuum virtual dipoles, and that a…

综合物理 · 物理学 2009-08-22 Xing-Hao Ye

At first, we discuss parallels electric and magnetic fields solutions in a gravitational background. Then, considering eletromagnetic and gravitational waves symmetries we show a particular solution for stationary gravitational waves.…

高能物理 - 理论 · 物理学 2007-05-23 Carlos Pinheiro , J. A. Helayel-Neto , Gilmar S. Dias

Both acoustics and electromagnetism represent measurable fields in terms of dynamical potential fields. Electromagnetic force-fields form a spacetime bivector that is represented by a dynamical energy-momentum 4-vector potential field.…

数学物理 · 物理学 2024-08-27 Lucas Burns , Tatsuya Daniel , Stephon Alexander , Justin Dressel

This paper is a serious attempt at reconciling quantum and classical mechanics through the concept of dynamic space and the acceptance of non-zero Ricci tensor for vacuum. Starting with scalar particles, the paper shows that with those two…

综合物理 · 物理学 2007-05-23 Jose B. Almeida

It is well known that the source-free Maxwell equations are invariant under electric-magnetic duality rotations, F --> F cos {\theta} + *F sin {\theta}. These transformations are indeed a symmetry of the theory in Noether sense. The…

广义相对论与量子宇宙学 · 物理学 2018-12-12 Ivan Agullo , Adrian del Rio , Jose Navarro-Salas

The coupling of the electromagnetic field to gravity is an age-old problem. Presently, there is a resurgence of interest in it, mainly for two reasons: (i) Experimental investigations are under way with ever increasing precision, be it in…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Friedrich W. Hehl , Yuri N. Obukhov