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Conformal transformations are frequently used tools in order to study relations between various theories of gravity and the Einstein relativity. In this paper we discuss the rules of these transformations for geometric quantities as well as…

广义相对论与量子宇宙学 · 物理学 2009-02-20 Mariusz P. Dabrowski , Janusz Garecki , David B. Blaschke

Special relativity calculates, by means of the Lorentz gamma factor, the proper time of all inertial systems from the observer proper time, which is taken as a time standard. So, any temporal inference relies in first instance on the…

综合物理 · 物理学 2010-01-19 G. Sardin

We introduce a modified divergence law for the energy-momentum tensor in the theory of unimodular relativity. Consequently, an additional equation for the measure field follows from the divergence of the field equations. The equations of…

广义相对论与量子宇宙学 · 物理学 2007-09-20 Robert D. Bock

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

Special relativity is reformulated as a symmetry property of space-time: Space-Time Exchange Invariance. The additional hypothesis of spatial homogeneity is then sufficient to derive the Lorentz transformation without reference to the…

经典物理 · 物理学 2009-11-06 J. H. Field

An analysis of composite inertial motion (relativistic sum) within the framework of special relativity leads to the conclusion that every translational motion must be the symmetrically composite relativistic sum of a finite number of quanta…

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

We present the special theory of relativity taking the Doppler effect as the starting point, and derive several of its main effects, such as time dilation, length contraction, addition of velocities, and the mass-energy relation, and…

经典物理 · 物理学 2009-11-11 M. Moriconi

The incorporation of an adequate discrete expansion to the formalism of the special relativity that does not allow gravitational acceleration unravels unexplored phenomena. This extension takes into account consequences of a small variation…

综合物理 · 物理学 2022-08-30 Faycal Ben Adda

The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

综合物理 · 物理学 2016-09-21 Giuseppina Modestino

This article reviews the concept of Lorentz invariant relative velocity that is often misunderstood or unknown in high energy physics literature. The properties of the relative velocity allow to formulate the invariant flux and cross…

高能物理 - 唯象学 · 物理学 2017-02-08 Mirco Cannoni

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

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

综合物理 · 物理学 2007-05-23 Jian-Miin Liu

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the…

广义相对论与量子宇宙学 · 物理学 2009-06-30 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

In this paper, we establish a theory of Special Relativity valid for the entire speed range without the assumption of constant speed of light. Two particles species are defined, one species of particles have rest frames with rest mass, and…

综合物理 · 物理学 2012-12-18 Youshan Dai , Kang Li

We report on recent developments towards a relativistic quantum mechanical theory of motion for a fixed, finite number of electrons, photons, and their anti-particles, as well as its possible generalizations to other particles and…

数学物理 · 物理学 2019-09-25 A. Shadi Tahvildar-Zadeh , Michael K. H. Kiessling

Mermin [Am. J. Phys. {\bf 51}, 1130--1131 (1983)] derived the relativistic addition of the parallel components of velocity using the constancy of the speed of light. In this note, the derivation is extended to the perpendicular components…

经典物理 · 物理学 2007-05-23 Ben Yu-Kuang Hu

We investigate the possibility of extending Newton's second law to the general framework of theories in which special relativity is locally valid, and in which gravitation changes the flat Galilean space-time metric into a curved metric.…

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

A phenomenological explanation is presented for the physics of aberration, which is in contrast with special relativity physics. The effect of relativity is identified with an effect due to the velocity of observation being affected by the…

综合物理 · 物理学 2019-07-23 Y. G. Yi

The purpose of the dynamics of moving systems is to search for the mathematical model that describes the link between the resultant applied force, that is the cause, and the speed of system that is the effect. This mathematical link…

综合物理 · 物理学 2010-01-15 Daniele Sasso

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

广义相对论与量子宇宙学 · 物理学 2009-05-26 T. Harko