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Does Lorentz Force Law Contradict the Principle and Theories of Relativity for Uniform Linear Motion?  [PDF]
C. S. Unnikrishnan
Physics , 2012,
Abstract: I show that no force or torque is generated in cases involving a charge and a magnet with their relative velocity zero, in any inertial frame of reference. A recent suspicion of an anomalous torque and conflict with relativity in this case is rested. What is distilled as `Lorentz force' in standard electrodynamics, with relative velocity as the parameter, is an under-representation of two distinct physical phenomena, an effect due to Lorentz contraction and another due to the Ampere current-current interaction, rolled into one due to prejudice from special relativity applied only to linear motion. When both are included in the analysis of the problem there is no anomalous force or torque, ensuring the validity of Poincare's principle of relativity. The issue of validity of electrodynamics without the concept of absolute rest, however, is subtle and empirically open when general noninertial motion is considered, as I will discuss in another paper.
Magnetic monopoles and Lorentz force  [PDF]
F. Moulin
Mathematics , 2002,
Abstract: The formulation of a generalized classical electromagnetism that includes both electric and magnetic charges, is explored in the framework of two potential approach. It is shown that it is possible to write an action integral from which one can derive, by least action principle, the symmetrized set of Maxwell's equations, but also the Lorentz force law by employing the energy-momentum tensor conservation.
(not quite) Theoretical Proof of the Lorentz Force Formula  [PDF]
Yoav Kleinberger
Physics , 2005,
Abstract: There is actually a mistake in this paper, but it is still a nice try worth a read. It is (not quite) proved that within the framework of Special Relativity, a force exerted on a \emph{classical particle} by a field must be of the form $\yv{E}+\yv{v}\times\yv{B}$, the Lorentz force form. The proof makes use of an action principle in which the action is the sum of a free particle part, and an interaction part.
The Lorentz force and superconductivity  [PDF]
J. E. Hirsch
Physics , 2003, DOI: 10.1016/S0375-9601(03)01107-1
Abstract: To change the velocity of an electron requires that a Lorentz force acts on it, through an electric or a magnetic field. We point out that within the conventional understanding of superconductivity electrons appear to change their velocity in the absence of Lorentz forces. This indicates a fundamental problem with the conventional theory of superconductivity. A hypothesis is proposed to resolve this difficulty. This hypothesis is consistent with the theory of hole superconductivity.
Electromagnetic Pressure and the Lorentz Force  [cached]
Leandro Meléndez Lugo,Samuel Roberto Barocio,Esteban Chávez Alarcón
Applied Physics Research , 2012, DOI: 10.5539/apr.v4n4p91
Abstract: Two seldom used concepts, electric and magnetic pressure, have been applied to the classical problem of characterizing the force exerted on a charged particle by external electric and magnetic fields. In terms of fundamental natural laws such as the Coulomb's and magnetic ones (Lorentz), a generalization of the electrostatic and magnetostatic energy densities is obtained.
Gravity as Lorentz Force  [PDF]
Yu. M. Zinoviev
Physics , 2000,
Abstract: 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 to the permutation of the lower indices. We identify the convolution of the connection coefficients with the vector - potential of the electromagnetic field. Then the gravity is the Lorentz force of this electromagnetic field.
Comment on "Trouble with the Lorentz Law of Force"  [PDF]
David J. Griffiths,V. Hnizdo
Physics , 2012,
Abstract: A recent article claims the Lorentz force law is incompatible with special relativity. The claim is false, and the "paradox" on which it is based was resolved many years ago.
The extended Lorentz force  [PDF]
Michael A. Graber
Mathematics , 2002,
Abstract: The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Under the hypothesis that Maxwell's equations express symmetry properties of the Ricci tensor, the full electromagnetic connection is determined. From this connection, the fourth equation of the geodesic is derived. The validity of this fourth equation can be determined by studying the decay of charged particles in an electric field. Time will accelerate or decelerate relative to the proper time of a charged particle moving in an electric field. Unstable charged particles moving in opposite directions parallel to an electric field should exhibit different decay rates.
Inertial frames without the relativity principle: breaking Lorentz symmetry
Baccetti, Valentina;Tate, Kyle;Visser, Matt
High Energy Physics - Phenomenology , 2013,
Abstract: We investigate inertial frames in the absence of Lorentz invariance, reconsidering the usual group structure implied by the relativity principle. We abandon the relativity principle, discarding the group structure for the transformations between inertial frames, while requiring these transformations to be at least linear (to preserve homogeneity). In theories with a preferred frame (aether), the set of transformations between inertial frames forms a groupoid/pseudogroup instead of a group, a characteristic essential to evading the von Ignatowsky theorems. In order to understand the dynamics, we also demonstrate that the transformation rules for energy and momentum are in general affine. We finally focus on one specific and compelling model implementing a minimalist violation of Lorentz invariance.
Inertial frames without the relativity principle: breaking Lorentz symmetry  [PDF]
Valentina Baccetti,Kyle Tate,Matt Visser
Physics , 2013,
Abstract: We investigate inertial frames in the absence of Lorentz invariance, reconsidering the usual group structure implied by the relativity principle. We abandon the relativity principle, discarding the group structure for the transformations between inertial frames, while requiring these transformations to be at least linear (to preserve homogeneity). In theories with a preferred frame (aether), the set of transformations between inertial frames forms a groupoid/pseudogroup instead of a group, a characteristic essential to evading the von Ignatowsky theorems. In order to understand the dynamics, we also demonstrate that the transformation rules for energy and momentum are in general affine. We finally focus on one specific and compelling model implementing a minimalist violation of Lorentz invariance.
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