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Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We present a thorough introduction to the tools of category theory required for formulating gauge theories based on 2-connections. We provide a detailed construction of the categorical generalization of BF theory, dubbed BFCG, also known as…

High Energy Physics - Theory · Physics 2025-05-16 A. D. López-Hernández , Graciela Reyes-Ahumada , Javier Chagoya

We reformulate the quantization of the gravitational field and its sources, including the electric and magnetic fields as they appear in the knot algebra.

High Energy Physics - Theory · Physics 2020-05-11 Robert J. Finkelstein

The somewhat fragmented body of current literature analyzing the properties of test particle motion in static and stationary spacetimes and in general spacetimes is pulled together and clarified using the framework of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert T Jantzen , Donato Bini , Paolo Carini

Einstein action of gravity is obtained from a gauge theory, if our spacetime was once in two folds with a double Lorentz symmetry. After the dual symmetry breaks spontaneously, Lorentz symmetry absorbs gauge symmetry, while the gauge field…

General Physics · Physics 2022-12-27 Kimihide Nishimura

The generalization of electromagnetic and gravitational hopfions is performed in terms of a complex scalar field. New definition of topological charge for linearized gravity is given. Quasi-local (super-)energy densities are compared for…

General Relativity and Quantum Cosmology · Physics 2018-10-29 Tomasz Smołka , Jacek Jezierski

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

High Energy Physics - Theory · Physics 2019-10-30 Daisuke Yoshida

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

Mathematical Physics · Physics 2012-03-13 C. Wiesendanger

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

We propose a reformulation of gravitation in which the gravitational interaction is treated as a genuine force rather than an inertial effect arising from spacetime geometry. Within this framework, the difference between the affine…

General Physics · Physics 2025-12-09 L. Horoto , F. G. Scholtz

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

Lorentz gauge theory (LGT) is a feasible candidate for theory of quantum gravity in which routine field theory calculations can be carried out perturbatively without encountering too many divergences. In LGT spin of matter also gravitates.…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Ahmad Borzou , Gerald Cleaver , Behrouz Mirza

We construct a generic class of models for complex scalar fields -- minimally coupled to gravity and electromagnetism -- with the property that their energy-momentum tensor and the electric current vanish for certain massive configurations.…

High Energy Physics - Theory · Physics 2023-03-24 Cristian Quinzacara , Paola Meza , Almeira Sampson , Mauricio Valenzuela

This study investigates the compatibility of the electroweak sector of particle physics with quantum gravity, under the assumption that the conventional S-matrix positivity bounds can be extended to gravitational context. It focuses on…

High Energy Physics - Theory · Physics 2023-12-15 Tran Quang Loc

The detection of quantum aspects of gravity remains one of the most elusive challenges in modern physics. In this paper, we develop a comprehensive theoretical framework for the gravitational Aharonov-Bohm (AB) effect, extending previous…

Quantum Physics · Physics 2024-12-17 Ayda Najafzadeh

We give a geometrical description of gravitational theories from the viewpoint of symmetries and affine structure. We show how gravity, considered as a gauge theory, can be consistently achieved by the nonlinear realization of the…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Salvatore Capozziello , Diego Julio Cirilo-Lombardo , Mariafelicia De Laurentis

Two Lagrangian functions are used to construct geometric field theories. One of these Lagrangians depends on the curvature of space, while the other depends on curvature and torsion. It is shown that the theory constructed from the first…

General Relativity and Quantum Cosmology · Physics 2014-11-17 M. I. Wanas , Samah A. Ammar

In the presence of an electromagnetic (EM) field the space-time metrics are affected by the field potential. The principle of superposition, which usually rules EM fields, is no longer valid for the biggest fields and Maxwell's equations,…

General Physics · Physics 2023-12-27 Pierre Marx

The confrontation between general relativity (and its theoretically most plausible deviations) and experimental or observational results is summarized. Some discussion is devoted to the various methodologies used in confronting theory and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour