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We consider the general form of the linear transformation for point rotation coordinate frames. The frames have the rotation axis at every point. In the transformation the frequency of one frame relative to another is not equivalent to the…

光学 · 物理学 2007-05-23 Boris V. Gisin

Evaluation of the additive constants in the space-time Lorentz transformation equations required, according to Einstein, to correctly describe synchronised clocks at different spatial locations, reveals the spurious and unphysical nature of…

综合物理 · 物理学 2012-10-09 J. H. Field

An interpretation of the inertial mass increase due to an object's velocity which is derived from the theory of special relativity is discussed. A Lorentz transformation of the reference time causes the inertial mass increase. It is assumed…

综合物理 · 物理学 2008-03-12 Masanori Sato

In a way similar to classical mechanics where we have the concept of inertial time as expressed in the motions of bodies, in the (special) theory of relativity we can regard the inertial time as the only notion of time at play. The inertial…

物理学史与哲学 · 物理学 2017-09-15 Mario Bacelar Valente

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

Lorentz transformation on two-dimensional spacetime is obtained without assumption of linearity. To obtain this, we use the invariance of wave equations, which is recently proved to be equivalent to the causality preservation.

广义相对论与量子宇宙学 · 物理学 2013-07-29 Do-Hyung Kim

Starting from the classical Newton's second law which, according to our assumption, is valid in any instantaneous inertial rest frame of body that moves in Minkowskian space-time we get the relativistic equation of motion…

综合物理 · 物理学 2014-08-15 Krzysztof Rębilas

Here we show how spacetime transformations consistent with the principle of relativity can be derived without an explicit assumption of the constancy of the speed of light, without gedanken experiments involving light rays, and without an…

经典物理 · 物理学 2010-05-13 Joel W. Gannett

There is a simple formula for the gauge function of the transformation from the Lorenz gauge to the Coulomb gauge, valid under a condition that is satisfied by some charge densities employed in the literature. An equation for the gauge…

经典物理 · 物理学 2025-04-08 V. Hnizdo , G. Vaman

Rothenstein's claim of a ``faster'' derivation of the Lorentz transformation is not correct.

经典物理 · 物理学 2007-05-23 Alan Macdonald

Homogeneity of space and time, spatial isotropy, principle of relativity and the existence of a finite speed limit (or its variants) are commonly believed to be the only axioms required for developing the special theory of relativity…

经典物理 · 物理学 2018-09-07 Somajit Dey

The vector form of a Lorentz transformation which is separated with time and space parts is studied. It is necessary to introduce a new definition of the relative velocity in this transformation, which plays an important role for the…

核理论 · 物理学 2007-05-23 Yongkyu Ko

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…

经典物理 · 物理学 2018-11-06 Sergio Eduardo Silva Duarte , Nathan Willig Lima

The development of both special and general relativity is accomplished in a series of 6 papers using a simple approach. The purpose is to explain the how and why of relativity to a broad public, and to be useful for students of physics by…

科普物理 · 物理学 2020-02-28 Ralph Berger

We present a simple thought experiment in which a beam of light of a finite length (a light-pulse) enters a detection device that consists of a wave detector and a light bulb. We examine the experiment from the reference frame where the…

物理教育 · 物理学 2007-05-23 Aleksandar Gjurchinovski

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…

超导电性 · 物理学 2009-11-10 J. E. Hirsch

The formula for the frequency shift of a plane-polarized light wave reflected from a uniformly moving mirror is derived directly from the constant light speed postulate and the basic principles of wave optics. Unlike the original derivation…

光学 · 物理学 2007-05-23 Aleksandar Gjurchinovski

We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group.Lorentz coordinate transformations are derived in a novel…

物理教育 · 物理学 2007-05-23 D. Jaramillo , N. Vanegas

In this work, we use the concept of quaternion time and demonstrate that it can be applied for description of four-dimensional space-time intervals. We demonstrate that the quaternion time interval together with the finite speed of light…

综合物理 · 物理学 2021-06-14 Viktor Ariel

Explicit formulae for the $4\times 4$ Lorentz transformation matrices corresponding to a pure boost and a pure three-dimensional rotation are very well-known. Significantly less well-known is the explicit formula for a general Lorentz…

经典物理 · 物理学 2024-09-18 Howard E. Haber