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A careful study is made of the operational meaning of the time symbols appearing in the space-time Lorentz transformation. Four distinct symbols, with different physical meanings, are needed to describe reciprocal measurements involving…

综合物理 · 物理学 2009-09-01 J. H. Field

A deformation of special relativity based on a dispersion relation with an energy independent speed of light and a symmetry between positive and negative energy states is proposed. The deformed Lorentz transformations, generators and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Clemens Heuson

In ZM theory the direction of time has a non-zero projection onto space and this projection corresponds to the local velocity relative to the observer. Classical trajectories can be obtained by following the local direction of time. The…

广义相对论与量子宇宙学 · 物理学 2010-05-19 Yaneer Bar-Yam

Based on the generalized principle of relativity and the ensuing symmetry, we have shown that there are only two possible types of transformations between uniformly accelerated systems. The first allowable type of transformation holds if…

经典物理 · 物理学 2012-04-08 Yaakov Friedman

We have shown that Lorentz transformation is not necessary to present relativistic relative velocity. A modified definition of velocity together with Galilean transformation is equivalent to relativistic relative velocity. On the other…

数学物理 · 物理学 2007-05-23 Mushfiq Ahmad

Method given for intuitively visualizing constancy of light speed. Using mass-energy equivalence, we can show with the help of simple thought experiments, that velocity time dilation and gravitational time dilation are a necessary…

综合物理 · 物理学 2014-08-29 Abdul Rouf

Admitting the validity of Lorentz transformations for the space as time coordinates of the same event we derive their differential form in order to underline the correct prerequisites for the application of time and length contraction or…

综合物理 · 物理学 2008-12-02 Stefan Popescu , Bernhard Rothenstein

We deduce the most general space-time transformation laws consistent with the principle of relativity. Thus, our result contains the results of both Galilean and Einsteinian relativity. The velocity addition law comes as a bi-product of…

经典物理 · 物理学 2008-11-26 Palash B. Pal

We derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT. We find a general…

经典物理 · 物理学 2022-12-08 Satadal Datta

We generalize the derivation of electromagnetic fields of a charged particle moving with a constant acceleration [1] to a variable acceleration (piecewise constants) over a small finite time interval using Coulomb's law, relativistic…

经典物理 · 物理学 2018-06-25 Sandeep Aashish , Asrarul Haque

The Lorentz transformation is used to analyse space and time coordinates corresponding to two spatially-separated clocks in the same inertial frame. The time dilatation effect is confirmed, but not `relativity of simultaneity' or…

综合物理 · 物理学 2009-09-01 J. H. Field

The apparent times and positions of moving clocks as predicted by both `non-local' and `local' Lorentz Transformations are considered. Only local transformations respect translational invariance. Such transformations change temporal but not…

综合物理 · 物理学 2011-11-10 J. H. Field

Starting with two light clocks to derive time dilation expression, as many textbooks do, and then adding a third one, we work on relativistic spacetime coordinates relations for some simple events as emission, reflection and return of light…

综合物理 · 物理学 2007-05-23 Nilton Penha , Bernhard Rothenstein

We have realized that under Lorentz transformations the tick number of a moving common clock remains unchanged, that is, the hand of the clock never runs slow, but the time interval between its two consecutive ticks contracts, so the…

综合物理 · 物理学 2021-03-12 Wang Guowen

Using the standard formalism of Lorentz transformation of the special theory of relativity, we derive the exact expression of the Thomas precession rate for an electron in a classical circular orbit around the nucleus of a hydrogen-like…

经典物理 · 物理学 2020-09-14 Masud Mansuripur

An analysis of the Lorentz transformation shows that the unchangeability of the space-time coordinates of the inertial systems under consideration and the possibility of a direct projection of those coordinates onto another are the…

综合物理 · 物理学 2007-05-23 Ernst Karl Kunst

The Lorentz transformation is derived without assuming the existence of Maxwell's equations, or that the speed of light is a constant, or even that light exists. This leads us logically to sonsider the existence of a primal field called…

综合物理 · 物理学 2011-06-14 Edmund A. Di Marzio

The fundamental equations of relativistic dynamics are derived from a thought experiment and from the transformation of relativistic velocity avoiding collisions and conservation laws of momentum and energy.

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero

It has been more than a century since first Lorentz and later Einstein explored relativistic events and still important consequences of that remains unclear to everybody. The present study extensively focus on Lorentz (Length) contraction…

综合物理 · 物理学 2010-01-25 Bayram Akarsu