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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

In this paper, it is shown why Lorentz Transformation implies the general case where observed events are not necessarily in the inertia frame of any observer but assumes a special scenario when determining the length contraction and time…

综合物理 · 物理学 2012-09-24 Ibrahim M. Alabdulmohsin

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic…

广义相对论与量子宇宙学 · 物理学 2011-08-17 Yaakov Friedman

Several new ideas related to Special and General Relativity are proposed. The black-box method is used for the synchronization of the clocks and the space axes between two inertial systems or two accelerated systems and for the derivation…

经典物理 · 物理学 2010-08-23 Yaakov Friedman

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 extend de la Fuente and Romero's defining equation for uniform acceleration in a general curved spacetime from linear acceleration to the full Lorentz covariant uniform acceleration. In a flat spacetime background, we have explicit…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Yaakov Friedman , Tzvi Scarr

A calculus based on pointer-mark coincidences is proposed to define, in a mathematically rigorous way, measurements of space and time intervals. The connection between such measurements in different inertial frames according to the Galilean…

综合物理 · 物理学 2011-10-26 J. H. Field

One of the concepts of Relativity theory that challenges conventional intuition the most is time dilation and length contraction. Usual approaches for describing relativistic effects in quantum systems merely postulate the consequences of…

量子物理 · 物理学 2024-02-27 Esteban Martínez-Vargas

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

We present a simple derivation of the Lorentz transformations for the space-time coordinates of the same event. It is based on the relative character of length and time interval as measured by observes in relative motion. We begin by…

综合物理 · 物理学 2007-12-05 Bernhard Rothenstein , Stefan Popescu

We show that standard Relativistic Dynamics Equation F=dp/d\tau is only partially covariant. To achieve full Lorentz covariance, we replace the four-force F by a rank 2 antisymmetric tensor acting on the four-velocity. By taking this tensor…

综合物理 · 物理学 2013-04-30 Yaakov Friedman , Tzvi Scarr

In this Essay, we give a correct interpretation of a historical experiment by Kundig on the transverse Doppler shift in a rotating system (Mossbauer rotor experiment). This experiment has been recently first reanalyzed, and then replied by…

广义相对论与量子宇宙学 · 物理学 2018-10-22 Christian Corda

Lorentz Transformation is reinterpreted. It is shown that by admitting the existence of a frame of reference with synchronized clocks, we conclude that any other frame of reference that moves related to the first has desynchronized clocks.…

综合物理 · 物理学 2007-05-23 Rodrigo de Abreu

A historical experiment by K\"undig on the transverse Doppler shift in a rotating system measured with the M\"ossbauer effect has been recently first re-analyzed and then replied [1,2]. The results have shown that a correct re-processing of…

广义相对论与量子宇宙学 · 物理学 2015-03-18 Christian Corda

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal…

综合物理 · 物理学 2015-04-17 Miroslav Pardy

The Lorentz transformation is entirely derived from length contraction, itself established through the known light-clock thought experiment . This makes the derivation accessible to beginning students once Eintein's two postulates have been…

综合物理 · 物理学 2007-09-03 Jean-Michel Levy

This contribution adds to the points on the <indeterminacy of special relativity> made by De Abreu and Guerra. We show that the Lorentz Transformation can be composed by the physical observations made in a frame K of events in a frame…

经典物理 · 物理学 2009-11-13 Chandru Iyer

We use Generalized Fermi-Walker transport to construct a one-parameter family of inertial frames which are instantaneously comoving to a uniformly accelerated observer. We explain the connection between our approach and that of Mashhoon. We…

综合物理 · 物理学 2015-06-15 Yaakov Friedman , Tzvi Scarr

We study the orbits of two interacting particles described by a fully relativistic classical mechanical Hamiltonian. We use two sets of initial conditions. In the first set (dynamics 1) the system's center of mass is at rest. In the second…

广义相对论与量子宇宙学 · 物理学 2015-06-15 B. T. Shields , M. C. Morris , M. R. Ware , Q. Su , E. V. Stefanovich , R. Grobe

We show that alternative relativity theories that are essentially based on varied distant clock synchronization procedures can be recovered by using the standard Lorentz-Einstein transformations for the space-time coordinates of the same…

综合物理 · 物理学 2008-12-02 Bernhard Rothenstein
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