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We show that the electromagnetic field tensor and the Lorentz Force are both a natural consequence of the geometric structure of Minkowskian space, being related to infinitesimal boosts and rotations in spacetime. The longstanding issue…

Mathematical Physics · Physics 2007-05-23 J. Buitrago , Chus Martin

Recently (Phys. Rev. Lett. 114 (2015), 210402) the influence of the so called "Wigner translations" (more generally-Lorentz trans- formations) on circularly polarized Gaussian packets ( providing the solution to Maxwell equations in…

High Energy Physics - Theory · Physics 2017-03-22 Katarzyna Bolonek-Lason , Piotr Kosinski , Pawel Maslanka

A general law for electromagnetic induction phenomena is derived from Lorentz force and Maxwell equation connecting electric field and time variation of magnetic field. The derivation provides with a unified mathematical treatment the…

Classical Physics · Physics 2007-05-23 Giuseppe Giuliani

Simply by assuming the first postulate of Special Relativity and by exploring Gedankenexperiments with electromagnetic forces, we suggest that there is a speed limit in the universe, which can be determined as a relation between vacuum…

Classical Physics · Physics 2018-11-06 Sergio Eduardo Silva Duarte , Nathan Willig Lima

The main object of the proposed theory is not a pseudometric, but a symmetric affine connection on the Minkowski space. The coefficients of this connection have one upper and two lower indices. These coefficients are symmetric with respect…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

Einstein based his special theory of relativity on two postulates: (a) physical laws appear the same in all inertial frames, and (b) the speed of light in vacuum is an observer-independent constant. However, it is already known that the…

Classical Physics · Physics 2021-11-24 Vikramaditya Mondal

In this work, it is shown that the energy and momentum of electromagnetic fields created by a classical charge, whose velocity varies with time, do not form four-vector. A possible explanation for this result is that the calculation of…

General Physics · Physics 2023-05-04 Vladimir Onoochin

We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations…

General Physics · Physics 2007-09-24 Bernhard Rothenstein , Stefan Popescu

A new relativistic transformation in the velocity space (here named the differential Lorentz transformation) is formulated solely from the principle of relativity and the invariance of the speed of light. The differential Lorentz…

Classical Physics · Physics 2008-12-31 Young-Sea Huang

We show that the Lorentz force law, F^L_1=q_1(E+v_1xB) being the charge on particle 1 interacting with the electromagnetic fields due to all other particles, can be written in a pure field form F^L_1=-\nabla_1 U^{EM}. In this expression…

General Physics · Physics 2012-12-03 Philip H. Butler , Niels G. Gresnigt , Martin B. van der Mark , Peter F. Renaud

The usual transformations of the three-dimensional (3D) fields E and B that are found in [1] ([1] A. Einstein, Ann. Physik \17, 891 (1905)) are always considered to be the relativistically correct Lorentz transformations (LT) of E and B.…

General Physics · Physics 2008-10-01 Tomislav Ivezić

From the relativistic law of motion we attempt to deduce the field theories corresponding to the force law being linear and quadratic in 4-velocity of the particle. The linear law leads to the vector gauge theory which could be the abelian…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Parampreet Singh , Naresh Dadhich

In a recent Letter [arXiv:1205.0096], Mansuripur considers a magnetic dipole positioned at a fixed location from a point charge. Performing a Lorentz transformation to a laboratory frame where the charge distribution moves he finds that `a…

General Physics · Physics 2012-07-20 M. Brachet , E. Tirapegui

Einstein's Special Theory of Relativity was proposed a little over a hundred years back. It remained a bedrock of twentieth century physics right up to Quantum Field Theory. However, the failure over several decades to provide a unified…

General Physics · Physics 2007-05-23 B. G. Sidharth

Two sets of spatially differential formulas of Lenz law on electromagnetic inductance are presented. They are a cut-magnetic flux induced voltage, which instantaneously results from cutting magnetic flux as a conductor moving with respect…

General Physics · Physics 2007-05-23 Ji Luo

In the purely affine formulation of gravity, the gravitational field is represented by the symmetric part of the Ricci tensor of the affine connection. The classical electromagnetic field can be represented in this formulation by the second…

General Relativity and Quantum Cosmology · Physics 2007-07-12 Nikodem J. Poplawski

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstr\"om solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Murat Özer

We examine a covariant quantization of electromagnetic fields by using an operator derived from a constant scalar that can be called extended Lorentz gauge. The quantization can avoid an inconsistency between Lorentz gauge and a commutation…

General Physics · Physics 2020-08-03 Masahito Morimoto

We present new aspects of the electromagnetic field by introducting the natural potentials. These natural potentials are suitable for constructing the first order distortions of the metric tensor of Complex Relativity - the theory combining…

Classical Physics · Physics 2007-05-23 Roman Teisseyre , Mariusz Bialecki