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The paper presents a relativistic space-time diagram, which displays in true values the space (Cartesian and polar) and the time coordinates of the same event detected from two inertial reference frames in relative motion related by the…

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein , Corina Nafornita

This paper completes and comments on some aspects of our previous publications. In ref [1], we have derived a set of space-time transformations referred to as the extended space-time transformations. These transformations, which assume the…

综合物理 · 物理学 2008-03-27 Joseph Levy

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

综合物理 · 物理学 2008-09-24 Valery P. Dmitriyev

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

We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied…

数学物理 · 物理学 2014-12-22 Kevin H. Knuth , Newshaw Bahreyni

We show how the Minkowskian space-time emerges from a topologically homogeneous causal network, presenting a simple analytical derivation of the Lorentz transformations, with metric as pure event-counting. The derivation holds generally for…

广义相对论与量子宇宙学 · 物理学 2010-09-27 Giacomo Mauro D'Ariano , Alessandro Tosini

Special relativity turns out to be more than coordinate transformations in which the constancy of the speed of light plays the central role between two inertial reference frames. Special relativity, in essence, is a theory of…

综合物理 · 物理学 2007-06-13 M. Sultan Parvez

The Lorentz Transformations are derived without any linearity assumptions and without assuming that y and z coordinates transform in a Galilean manner. Status of the invariance of the speed of light is reduced from a foundation of the…

综合物理 · 物理学 2007-05-23 Rostislav Polishchuk

The properties of Lorentz transformations in de Sitter relativity are studied. It is shown that, in addition to leaving invariant the velocity of light, they also leave invariant the length-scale related to the curvature of the de Sitter…

广义相对论与量子宇宙学 · 物理学 2007-09-28 R. Aldrovandi , J. P. Beltran Almeida , C. S. O. Mayor , J. G. Pereira

The Lorentz Transformation is derived from only three simple postulates: (i) a weak kinematical form of the Special Relativity Principle that requires the equivalence of reciprocal space-time measurements by two different inertial…

经典物理 · 物理学 2016-09-08 J. H. Field

We consider a two-time (characterized by distinct speeds of causality) and three-space-dimensional Minkowski space and derive relativistic coordinate and velocity transformation formulas and expressions for a new effective speed limit.…

综合物理 · 物理学 2023-11-16 Sajjad Zahir

Following an approach proposed by Rosser for deriving the transformation equations of volume charge density and current density we derive the transformation equations for the space-time coordinates of the same event, for the mass and the…

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

Einstein's general relativity relates the curvature of space time, a second order differential property, to the stress-energy-momentum tensor. In this paper we ask whether it is possible to develop a first order theory relating space-time…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yaneer Bar-Yam

With the theory of special relativity, time has been linked with space into a four-dimensional space-time from which a basic question must be asked: can space be really transformed into time and vice-versa? The response is affirmative if…

综合物理 · 物理学 2007-05-23 Christian Pierre

Invariance of the counted number of photons and the Lorentz-Einstein transformations enable us to derive transformation equations for the physical quantities introduced in order to characterize energy emission and transport in a plane and…

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein , Ioan Damian

The theory of special relativity derives from the Lorentz transformation. The Lorentz transformation implies differential simultaneity and light speed isotropy. Experiments to probe differential simultaneity should be able to distinguish…

综合物理 · 物理学 2016-08-31 Edward T. Kipreos , Riju S. Balachandran

We revisit the problem of the Lorentz transformation of time-intervals in special relativity. We base our discussion on the time-interval transformation formula $ c\Delta t' = \gamma (c\Delta t - \vec{\beta} \cdot \Delta \vec{r}) $ in which…

综合物理 · 物理学 2015-06-25 A. V. Gopala Rao , K. S. Mallesh , K. N. Srinivasa Rao

Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the speed of light in all inertial frames of reference, special relativity uses the assumption about the Euclidean structures of gravity-free…

综合物理 · 物理学 2015-06-26 Jian-Miin Liu

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…

经典物理 · 物理学 2021-11-24 Vikramaditya Mondal

Space-time intervals corresponding to different events on the worldline of any ponderable object (for example a clock) are time-like. In consequence, in the analysis of any space-time experiment involving clocks only the region for $c\Delta…

综合物理 · 物理学 2016-10-27 J. H. Field