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Along with the construction of non-Lorentz-invariant effective field theories, recent studies which are based on geometric models of Finsler space-time become more and more popular. In this respect, the Finslerian approach to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. Balan , G. Yu. Bogoslovsky , S. S. Kokarev , D. G. Pavlov , S. V. Siparov , N. Voicu

It is shown that a unitary translationally invariant field theory in (1+1) dimensions satisfying isotropic scale invariance, standard assumptions about the spectrum of states and operators and the requirement that signals propagate with…

High Energy Physics - Theory · Physics 2014-06-25 Sergey Sibiryakov

The special theory of relativity is constructed demanding the retention of the rectilinear form of a trajectory and invariance of the wave equation under linear transformations of space and time coordinates. The usual approach to relativity…

General Physics · Physics 2008-11-20 Valery P. Dmitriyev

Sagnac effect has been studied in terms of Gyroscopic system in both Lorentz frame as well as flat Einstein frame. The Einstein equivalence principle has been used to determine the phase shift due to pseudo force in the transformation from…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Shouvik Sadhukhan

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…

General Physics · Physics 2008-03-12 Masanori Sato

This papers aims at revisiting Minkowski space-time with a modified outlook and making it more consistent (III.8). The paper scrutinizes the special case of relativistic hypothesis (STR). The paper tries to solve the problems faced by…

General Physics · Physics 2007-05-24 Aasis Vinayak P. G

We argue that space-time geometry is not absolute with respect to the frame of reference being used. The space-time metric differential form $ds$ in noninertial frames of reference (NIFR) is caused by the properties of the used frames in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. V. Verozub

A free system, considered to be a comparison system, allows for the notion of objective existence and inertial frame. Transformations connecting inertial frames are shown to be either Lorentz or generalized Galilei.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ruggiero de Ritis , Giuseppe Marmo , Bruno Preziosi

Scattering transform is a well known powerful tool for quantisation of field theories in (1+1) dimensions. Conventionally only those models whose classical counterparts admit a Lax pair (origin of which is always mysterious) have been…

High Energy Physics - Theory · Physics 2007-05-23 Gautam Bhattacharya

Observations of the apparent times and positions of moving clocks as predicted by both `non-local' and `local' Lorentz Transformations are considered. Only local transformations respect translational invariance. Such transformations change…

General Physics · Physics 2009-06-30 J. H. Field

Symmetry breaking is discussed in this paper which comes from the Lorentz transformation of special relativity and changes our view that two relatively moving bodies always have the relative speed equal in magnitude and opposite in…

General Physics · Physics 2007-05-23 Bin-Guang Ma

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

Some reasons are given to suggest that the interpretation of the Lorentz' transformations as if they referred to coordinates instead of to intervals could be incorrect. Besides, the usual form of such transformations, by using variables…

General Physics · Physics 2007-05-23 Diego J. Saa

We review the Inertial transformation and Lorentz transformation under a new context, by using Clifford Algebra or Geometric Algebra. The apparent contradiction between theses two approach is simply stems from different procedures for clock…

General Relativity and Quantum Cosmology · Physics 2013-11-26 R. de Oliveira , S. J. da Silva , V. H. G. de Campos

We consider transformations between uniformly accelerated systems, assuming that the Clock Hypothesis is false. We use the proper velocity-time description of events rather than the usual space-time description in order to obtain linear…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yaakov Friedman , Yuriy Gofman

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…

General Physics · Physics 2026-04-09 Antonio Pineda

Maxwell's equations are valid only in Lorentz frame i.e. in inertial frame where the Einstein synchronization procedure is used to assign values of the time coordinate. Einstein time order must be applied and kept in consistent way in both…

Accelerator Physics · Physics 2018-08-24 Evgeny Saldin

We look for the properties of empty space-time proceeding from the general relativity principle. An infinite number of the so-called covariant ether theories (CETs) has been found, which, like the special relativity theory (SRT), satisfy…

Classical Physics · Physics 2007-05-23 Alexander L. Kholmetskii

First, we extend the special relativity into the superluminal case and put forward a superluminal theory of kinematics, in which we show that the temporal coordinate need exchanging with one of the spatial coordinates in a superluminal…

General Physics · Physics 2009-07-22 Z. C. Tu , Z. Y. Wan

We derive the general formula for Lorentz-transformed spin density matrix. It is shown that an appropriate Lorentz transformation can prduce totally unpolarized state out of pure one. Further properties, as depurification by an arbitrary…

Quantum Physics · Physics 2009-11-10 Cezary Gonera , Piotr Kosinski , Pawel Maslanka