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The relationship between the harmonic mean and special relativity is concisely elucidated. The arguments in favor and against SRT are explored. It is shown that the ratio of the speed of light to the harmonic mean of the onward and return…

综合物理 · 物理学 2008-11-17 Chandru Iyer

In this extended note a critical discussion of an extension of the Lorentz transformations for velocities faster than the speed of light given recently by Hill and Cox is provided. The presented approach reveals the connection between…

广义相对论与量子宇宙学 · 物理学 2014-04-15 Congrui Jin , Markus Lazar

A special case of the relativistic Doppler effect, which occurs when light reflects from a moving mirror, is discussed. The classic formula for the Doppler shift is derived in a fully non-relativistic fashion using basic facts from…

物理教育 · 物理学 2007-05-23 Malik Rakhmanov

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

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 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

The Finslerian post-Lorentzian kinematic transformations can explicitly be obtained under uni-directional breakdown of spatial isotropy, provided that the requirement that the relativistic unit hypersurface (indicatrix or mass shell) be a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. S. Asanov

Time-like and space-like invariant space-time intervals are used to analyse measurements of spatial and temporal distances defined by two spatially-separated clocks. The time dilatation effect is confirmed, but not `relativity of…

综合物理 · 物理学 2009-09-01 J. H. Field

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

Special relativity beyond its basic treatment can be inaccessible, in particular because introductory physics courses typically view special relativity as decontextualized from the rest of physics. We seek to place special relativity back…

经典物理 · 物理学 2026-04-14 Gerd Wagner , Matthew W. Guthrie

Relative motion in space with multifractal time (fractional dimension of time close to integer $d_{t}=1+\epsilon (r,t), \epsilon \ll 1$) for "almost" inertial frames of reference (time is almost homogeneous and almost isotropic) is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. Ya. Kobelev

Besides the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way velocity of light in all inertial frames of reference, the special theory of relativity employs another assumption. This…

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

Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's…

广义相对论与量子宇宙学 · 物理学 2026-01-23 Ranchhaigiri Brahma , A. K. Sen

Under the assumption of closed-path velocity of light invariant, we show both the general expression of velocity of light in an ordinary inertial reference frame and the generalized Lorentz transformation between the ordinary inertial…

经典物理 · 物理学 2015-06-03 Daqing Liu , Xinghua Li , Yanshen Wang

A submarine moving at relativistic horizontal velocity sinks in Earth's rest frame due to length contraction while appearing to float in its own frame. Using spacetime geometry and the Lorentz transformations, we show that the resolution…

经典物理 · 物理学 2023-12-18 Osama Karkout

The vector form of a Lorentz transformation which is separated with time and space parts is studied. It is necessary to introduce a new definition of the relative velocity in this transformation, which plays an important role for the…

核理论 · 物理学 2007-05-23 Yongkyu Ko

Sometimes it becomes a matter of natural choice for an observer (A) that he prefers a coordinate system of two-dimensional spatial x-y coordinates from which he observes another observer (B) who is moving at a uniform speed along a line of…

综合物理 · 物理学 2009-11-13 Chandru Iyer , G. M. Prabhu

In the present study, we have derived the Lorentz factor using a coordinate system with antiparallel X-axes. Using a thought experiment, common in relativistic literature, we have used the case of a pulse of light moving along the X-axis.…

科普物理 · 物理学 2026-02-17 Diego Roldan , Rodrigo Sempertegui , Francisco Roldan

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

We investigate inertial frames in the absence of Lorentz invariance, reconsidering the usual group structure implied by the relativity principle. We abandon the relativity principle, discarding the group structure for the transformations…

广义相对论与量子宇宙学 · 物理学 2013-02-26 Valentina Baccetti , Kyle Tate , Matt Visser