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We have defined a slowness, s, as the reciprocal conjugate of velocity, v. s = -ih/v. We have shown that Einstein's postulate (v has an upper limit) implies that s is discrete. A velocity operator is defined as the derivative with respect…

综合物理 · 物理学 2007-08-21 Mushfiq Ahmad

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

A new method of derivation of Lorentz Transformation (LT) is given based on both axioms of special relativity (SR) and physical intuitions. The essence of the transformation is established and the crucial role played by the presumptions is…

综合物理 · 物理学 2015-06-16 Farid Shahandeh

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 take causality and uniqueness of events observation as our driving forces. They are built in in the way we define distinct observers, which then require a finite time to communicate between each other. This unavoidably leads to the…

综合物理 · 物理学 2026-04-09 Antonio Pineda

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

Transformation rules for coordinates, velocities and accelerations in accelerated reference frames are derived. A generalized approach of the special relativity is taken for a basis. A 7-dimensional space including projections of velocity…

经典物理 · 物理学 2007-05-23 A. A. Ketsaris

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

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

In special relativity theory the physical quantities are generally expressed as function of the velocity. In the particular case of an extended object, the factor 1/gamma of Lorentz contraction of its length in the direction of motion is…

综合物理 · 物理学 2013-07-25 E. R. Cazaroto

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

In this work, we use real quaternions and the basic concept of the final speed of light in an attempt to enhance the standard description of special relativity. First, we demonstrate that it is possible to introduce a quaternion time domain…

综合物理 · 物理学 2018-01-11 Viktor Ariel

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

The theory of special relativity can be generalized by means of a new principle called Conservation of Information. This allows a derivation of the constancy of the velocity of light with respect to moving frames, and, consequently, of…

经典物理 · 物理学 2008-02-05 C. Pombo , Th. M. Nieuwenhuizen

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

We show that the relativistic expressions for momentum and energy as well as the way in which they transform could be derived without involving collisions and conservation laws. Our approach involves relativistic kinematics via the addition…

综合物理 · 物理学 2008-10-20 Bernhard Rothenstein , Stefan Popescu

In the present study, we analyze in combination the principles of special relativity and the phenomenon of the aberration of light, deriving a system of equations that allows establishing the relationship between the angles commonly…

科普物理 · 物理学 2021-10-28 Diego Roldan , Rodrigo Sempertegui , Francisco Roldan

We develop a relativistic velocity space called \emph{rapidity space} from the single assumption of Lorentz invariance, and use it to visualize and calculate effects resulting from the successive application of non-colinear Lorentz boosts.…

广义相对论与量子宇宙学 · 物理学 2015-06-25 John A. Rhodes , Mark D. Semon

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

Keeping the two fundamental postulates of the special theory of relativity, the principle of relativity and the constancy of the one-way velocity of light in all inertial frames of reference, and assuming two generalized Finslerian…

高能物理 - 理论 · 物理学 2007-05-23 Jian-Miin Liu