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We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations…

综合物理 · 物理学 2007-09-24 Bernhard Rothenstein , Stefan Popescu

We present a physical-optics based theory of the physical mechanism for aberration of starlight. We apply non-relativistic and relativistic theories for wavefront image formation and include the effects of optically transmitting media…

天体物理仪器与方法 · 物理学 2013-06-28 Robert A. Woodruff

Special relativity is foundation of many branches of modern physics, of which theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use…

量子物理 · 物理学 2019-04-18 Da-Bao Yang , Yan Li , Fu-Lin Zhang , Jing-Ling Chen

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

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

天体物理学 · 物理学 2008-11-26 M. Sereno

We consider the general form of the linear transformation for point rotation coordinate frames. The frames have the rotation axis at every point. In the transformation the frequency of one frame relative to another is not equivalent to the…

光学 · 物理学 2007-05-23 Boris V. Gisin

The theory of relativity was built up on linear Lorentz transformation. However, in his fundamental work "Theory of Space, Time and Gravitation" V.A.Fock shows that the general form of the transformation between the coordinates in the two…

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

Many authors noted that the principle of relativity, together with space-time symmetries, suffices to derive Lorentz-like coordinate transformations between inertial frames. These contain a free parameter, $k$, (equal to $c^{-2}$ in special…

物理学史与哲学 · 物理学 2016-11-01 Alon Drory

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

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

高能物理 - 理论 · 物理学 2008-04-07 Zhe Chang , Xin Li

Selleri's paradox, based on an analysis of rotating frames, appears to show that the speed of light in an inertial system is not normally isotropic. This in turn seems at odds with the second postulate of special relativity requiring a…

经典物理 · 物理学 2015-06-15 Klaus Kassner

It is shown without making use of Lorentz transformation that there exists a phenomenon of relativistic zero-frequency shift in Doppler effect for a plane wave in free space, observed in two inertial frames of relative motion, and the zero…

综合物理 · 物理学 2012-12-14 Changbiao Wang

In the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory were re-stated. And, the addition of velocity laws were derived and used…

经典物理 · 物理学 2022-08-31 Ahmed Al-Jamel , Mohamed. Al-Masaeed , Eqab. M. Rabei , Dumitru Baleanu

Lorentz Transformations of Special Relativity are derived from two postulates: the first is the Principle of Relativity, while the postulate of invariance of the velocity of light, used in usual derivations, is replaced by a law of…

物理教育 · 物理学 2007-05-23 Gemma Faraco , Giuseppe A. Nistico'

We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of the Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to…

经典物理 · 物理学 2014-08-01 H. Arodź

I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Giovanni Amelino-Camelia

In this paper, the deformed Special Relativity, which leads to an essentially new theoretical context of quantum mechanics, is presented. The formulation of the theory arises from a straightforward analogy with the Special Relativity, but…

综合物理 · 物理学 2015-10-07 Lukasz Andrzej Glinka

The formula for the relativistic Doppler effect is investigated in the context of two compelling invariance axioms. The axioms are expressed in terms of an abstract operation generalizing the relativistic addition of velocities. We prove…

数学物理 · 物理学 2009-05-26 Jean-Claude Falmagne , Jean-Paul Doignon

The Lorentz transformations are represented on the ball of relativistically admissible velocities by Einstein velocity addition and rotations. This representation is by projective maps. The relativistic dynamic equation can be derived by…

经典物理 · 物理学 2010-08-23 Yaakov Friedman

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

综合物理 · 物理学 2007-10-17 Bernhard Rothenstein , Stefan Popescu