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We have shown that Reflection Symmetric transformation is Lorentz invariant. It ia also associative. We have also shown that Reflection Symmetric sum of vectors has a spin-like term comparable to the spin of Dirac eletron. We have found…

数学物理 · 物理学 2007-05-23 Mushfiq Ahmad , M. Shah Alam , M. O. G. Talukder

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

Starting from the well-known light-clock thought experiment to derive time dilation and length contraction, it is shown that finding the Lorentz Transformation requires nothing more than the most trivial vector addition formula. The form…

综合物理 · 物理学 2007-05-23 J. -M. Levy

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta - either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or…

广义相对论与量子宇宙学 · 物理学 2009-11-10 R. Schützhold , W. G. Unruh

We discuss the most general form of the Lorentz transformation in 1+1 dimensional spacetime, focusing mainly on its superluminal branch. For this purpose, we introduce the 2-velocity of a reference frame and the clockwork postulate. Basic…

综合物理 · 物理学 2025-10-17 Bogdan S. Damski

We consider the role of the velocity in Lorentz-violating fermionic quantum theory, especially emphasizing the nonrelativistic regime. Information about the velocity will be important for the kinematical analysis of scattering and other…

高能物理 - 理论 · 物理学 2007-05-23 B. Altschul , Don Colladay

The Lorentz transformation is used to analyse space and time coordinates corresponding to two spatially-separated clocks in the same inertial frame. The time dilatation effect is confirmed, but not `relativity of simultaneity' or…

综合物理 · 物理学 2009-09-01 J. H. Field

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

We consider a hypothetical possibility of the variability of light velocity with time and position in space which is derived from two natural postulates. For the consistent consideration of such variability we generalize translational…

天体物理学 · 物理学 2016-08-30 Sergey S. Stepanov

The Lorentz transformation is derived without the postulate of the universal limiting speed, and the general Edwards transformation is obtained by using the principle of permutation invariance (covariance). It is shown that the existences…

经典物理 · 物理学 2007-05-23 Jian Qi Shen

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

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

综合数学 · 数学 2024-04-10 Satyanad Kichenassamy

The relativity of simultaneity implies that the image of a Lorentz transformed (LT) spherical (circular) wavefront is not a spherical (circular) wavefront (Einstein 1905) but an ellipsoidal (elliptical) wavefront (Moreau, Am.J.of Phys).We…

综合物理 · 物理学 2007-05-23 Dr Yves Pierseaux

Galilean transformation properties of different physical quantities are investigated from the point of view of four dimensional Galilean relativistic (non-relativistic) space-time. The objectivity of balance equations of general heat…

经典物理 · 物理学 2020-09-02 Peter Ván , Vincenzo Ciancio , Liliana Restuccia

In this paper we show how to get the Lorentz transformations from E=mc^2, the laws of conservation of energy and momentum, and the special relativity principle. To this end we first deduce the law of addition of relativistic velocities

经典物理 · 物理学 2009-11-13 C. Criado , N. Alamo

We show that the Lorentz transformations for the space-time coordinates of the same event are a direct consequence of the principle of relativity and of Einstein's distant clocks synchronization procedure. In our approach, imposing the…

综合物理 · 物理学 2008-12-02 Bernhard Rothenstein , Stefan Popescu

The theoretical predictions, derived from the Lorentz and the Tangherlini transformations, for the one-way speed of any physical entity are confronted with the corresponding expressions for the one-way measured speed obtained from a…

综合物理 · 物理学 2010-05-11 Israel Perez

The special theory of relativity has fundamentally changed our views of space and time. The relativity of simultaneity in particular, and the theory of relativity as a whole, still presents significant difficulty for beginners in the…

经典物理 · 物理学 2022-10-27 Abdaljalel Alizzi , Abhijit Sen , Zurab K. Silagadze

We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such scale is built-in within those transformations, and one does not need to…

广义相对论与量子宇宙学 · 物理学 2019-04-17 Pasquale Bosso , Saurya Das

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