scholarly journals Lorentz Transformation of Electromagnetic Systems and the 4/3 Problem

1991 ◽  
Vol 46 (5) ◽  
pp. 377-383 ◽  
Author(s):  
E. Comay
Keyword(s):  
Spherical Shell ◽  
Special Relativity ◽  
Stress Tensor ◽  
Electromagnetic Fields ◽  
Lorentz Transformation ◽  
Momentum Flux ◽  
Lorentz Transformations ◽  
Definition Of

AbstractLorentz transformations of two macroscopic devices are discussed. In each case, the overall momentum flux into every static element of matter vanishes. It is shown that a Lorentz transformation of the energy-momentum 4-vector of each system agrees with special relativity. In particular, using the ordinary definition of 4-momentum of electromagnetic fields, it is proved by means of a particular form of Poincare's stress tensor, that there is no 4/3 factor in the transformation of the entire momentum of a uniformly charged spherical shell

scholarly journals Lorentz Group Action on Ellips Space

2017 ◽  
Vol 1 (2) ◽  
pp. 55
Author(s):  
Muhammad Ardhi Khalif
Keyword(s):  
Lorentz Transformation ◽  
Group Action ◽  
Lorentz Group ◽  
Cartesian Product ◽  
Lorentz Transformations ◽  
Speed Parameter ◽  
Rotation Transformation ◽  
Definition Of

<p style="text-align: justify;">The ellips space <em>E </em>has been constructed as cartesian product R+ <em>× </em>R+ <em>× </em>[ <em>π </em>2 <em>, </em><em>π </em>2 ]. Its elements, (<em>a, b, θ</em>), is called as an ellipse with eccentricity is <em> </em>= p1 <em>− </em><em>b</em>2<em>/a</em>2 if <em>b &lt; a </em>and is <em> </em>= p1 <em>− </em><em>a</em>2<em>/b</em>2 if <em>a &gt; b</em>. The points (<em>a, b, π/</em>2) is equal to (<em>b, a, </em>0). The action of subgrup <em>SO</em><em>oz</em>(3<em>, </em>1) of Lorentz group <em>SO</em><em>o</em>(3<em>, </em>1), containing Lorentz transformations on <em>x</em><em>−</em><em>y </em>plane and rotations about <em>z </em>axes, on <em>E </em>is defined as Lorentz transformation or rotation transformation of points in an ellipse. The action is effective since there are no rigid points in <em>E</em>. The action is also not free and transitive. These properties means that Lorentz transformations change any ellips into another ellips. Although mathematically we can move from an ellipse to another one with the bigger eccentrity but it is imposible physically. This is occured because we donot include the speed parameter into the definition of an ellipse in <em>E</em>.</p>

scholarly journals Comparative Study of the Volume Charge Density in Most General Lorentz Transformation and Quaternion Lorentz Transformation

2019 ◽  
Vol 11 (2) ◽  
pp. 165-171
Author(s):  
A. R. Baizid
Keyword(s):  
Comparative Study ◽  
Charge Density ◽  
Special Relativity ◽  
Lorentz Transformation ◽  
Inertial Frame ◽  
Numerical Data ◽  
Moving Frame ◽  
Lorentz Transformations ◽  
Volume Charge ◽  
Volume Charge Density

Lorentz transformation is the relation of space and time coordinates of one inertial frame relative to another inertial frame in special relativity. In this paper we have studied the volume charge density in most general and quaternion Lorentz transformations for different angles with different velocities of the moving frame.  We have also used numerical data to see the comparative situation.

An analogy between electromagnetic and internal waves

2019 ◽  
Vol 485 (4) ◽  
pp. 428-433
Author(s):  
V. G. Baydulov ◽  
P. A. Lesovskiy
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Internal Wave ◽  
Special Relativity ◽  
Internal Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Lagrange Function ◽  
Lorentz Transformations ◽  
Symmetry Transformations

For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.

scholarly journals The Total Energy and Momentum Stored in a Particle

2017 ◽  
Vol 9 (2) ◽  
pp. 65
Author(s):  
Eyal Brodet
Keyword(s):  
Total Energy ◽  
Special Relativity ◽  
Decay Time ◽  
Rest Mass ◽  
Minimum Time ◽  
Mass Energy ◽  
Light Velocity ◽  
Extra Energy ◽  
Definition Of ◽  
Energy And Momentum

In this paper we reconsider the conventional expressions given by special relativity to the energy and momentum of a particle. In the current framework, the particle's energy and momentum are computed using the particle's rest mass, M and rest mass time, t_m=h/M c^2  where t_m has the same time unit as conventionally used for the light velocity c. Therefore it is currently assumed that this definition of time describes the total kinetic and mass energy of a particle as given by special relativity. In this paper we will reexamine the above assumption and suggest describing the particle's energy as a function of its own particular decay time and not with respect to its rest mass time unit. Moreover we will argue that this rest mass time unit currently used is in fact the minimum time unit defined for a particle and that the particle may have more energy stored with in it. Experimental ways to search for this extra energy stored in particles such as electrons and photons are presented.

scholarly journals Special Relativity sans Lorentz Transformation (OR) Perceptional Relativity

2021 ◽  
Author(s):  
Sebastin Patrick Asokan
Keyword(s):  
Special Relativity ◽  
Lorentz Transformation ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Speed Of Light ◽  
Inertial Frames ◽  
Impossible Task

Abstract This paper shows that from the fact that the same Reality is perceived differently by the observers in different inertial frames, we can draw a simple and straightforward explanation for the constancy of light's speed in all inertial frames without any need for bringing in paradoxical Lorentz Transformation. This paper also proves that Lorentz Transformation has failed in its attempt to do the impossible task of establishing t' ≠ t to explain the constancy of the speed of light in all inertial frames without contradicting the interchangeability of frames demanded by the First Postulate of the Special Theory of Relativity. This paper also points out the misconceptions regarding the claimed experimental verifications of Lorentz Transformation's predictions in the Hafele–Keating experiment and μ meson experiment. This paper concludes that Einstein's Special Theory Relativity can stand on its own merits without Lorentz Transformation.

The Theory of Special Relativity

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Euler Equations ◽  
Lorentz Transformation ◽  
Electromagnetic Force ◽  
Momentum Tensor ◽  
Perfect Fluids ◽  
Dimensional Spacetime ◽  
Tensor Formulation ◽  
Basic Equations

This chapter shows how the principle of special relativity and the principle of the constancy of the velocity of light uniquely determine the Lorentz transformation. Unlike in pre-relativity physics, space and time are not separate entities. They are combined into a four-dimensional spacetime continuum, which is most clearly demonstrated in the formulation of the theory of special relativity due to Hermann Minkowski. The chapter then defines vectors and tensors with respect to the Lorentz transformation, leading to a tensor formulation of Maxwell's equations, of the electromagnetic force acting on charges and currents, and of the energy-momentum of the electromagnetic field and its conservation law. It also introduces the energy-momentum tensor of matter and discusses the basic equations of the hydrodynamics of perfect fluids (the Euler equations).

scholarly journals Eternalism and Perspectival Realism About the ‘Now’

2020 ◽  
Vol 50 (11) ◽  
pp. 1398-1410
Author(s):  
Matias Slavov
Keyword(s):  
Special Relativity ◽  
Doppler Effect ◽  
Electromagnetic Spectrum ◽  
Lorentz Transformations ◽  
Extended Self ◽  
Current Alternative ◽  
The Doppler Effect ◽  
Perspectival Realism

AbstractEternalism is the view that all times are equally real. The relativity of simultaneity in special relativity backs this up. There is no cosmically extended, self-existing ‘now.’ This leads to a tricky problem. What makes statements about the present true? I shall approach the problem along the lines of perspectival realism and argue that the choice of the perspective does. To corroborate this point, the Lorentz transformations of special relativity are compared to the structurally similar equations of the Doppler effect. The ‘now’ is perspectivally real in the same way as a particular electromagnetic spectrum frequency. I also argue that the ontology of time licensed by perspectival realism is more credible in this context than its current alternative, the fragmentalist interpretation of special relativity.

scholarly journals Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials

2018 ◽  
Vol 474 (2217) ◽  
pp. 20180155 ◽  
Author(s):  
Ji Rigelesaiyin ◽  
Adrian Diaz ◽  
Weixuan Li ◽  
Liming Xiong ◽  
Youping Chen
Keyword(s):  
Stress Tensor ◽  
Unit Area ◽  
Symmetric Tensor ◽  
Shear Loading ◽  
Homogeneous Material ◽  
Inhomogeneous Materials ◽  
Virial Stress ◽  
Definition Of ◽  
Dynamics Simulations ◽  
Symmetric Property

The stress tensor is described as a symmetric tensor in all classical continuum mechanics theories and in most existing statistical mechanics formulations. In this work, we examine the theoretical origins of the symmetry of the stress tensor and identify the assumptions and misinterpretations that lead to its symmetric property. We then make a direct measurement of the stress tensor in molecular dynamics simulations of four different material systems using the physical definition of stress as force per unit area acting on surface elements. Simulation results demonstrate that the stress tensor is asymmetric near dislocation cores, phase boundaries, holes and even in homogeneous material under a shear loading. In addition, the atomic virial stress and Hardy stress formulae are shown to significantly underestimate the stress tensor in regions of stress concentration.

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