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A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Vlasios Vasileiou

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…

Popular Physics · Physics 2020-02-28 Ralph Berger

We present a simple thought experiment in which a beam of light of a finite length (a light-pulse) enters a detection device that consists of a wave detector and a light bulb. We examine the experiment from the reference frame where the…

Physics Education · Physics 2007-05-23 Aleksandar Gjurchinovski

The second postulate of special relativity states that the speed of light in vacuum is independent of the emitter's motion. The test of this postulate so far remains unexplored for gravitational radiation. We analyze data from the…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Rajes Ghosh , Sreejith Nair , Lalit Pathak , Sudipta Sarkar , Anand S. Sengupta

I show that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of space-times whose short-distance structure is governed by an observer-independent length scale. The consistency…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giovanni Amelino-Camelia

The formula for the frequency shift of a plane-polarized light wave reflected from a uniformly moving mirror is derived directly from the constant light speed postulate and the basic principles of wave optics. Unlike the original derivation…

Optics · Physics 2007-05-23 Aleksandar Gjurchinovski

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

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

We study the case of two rockets which meet at a point O of an inertial co-ordinate system S, and are scheduled to move at constant speed, in opposite directions, toward two targets placed at equal distances from point O. At the instant…

General Physics · Physics 2008-12-14 Joseph Levy

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…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Pasquale Bosso , Saurya Das

Observers at rest in two inertial reference frames are located within the propagation space of the same electromagnetic wave. Raising receiving antennas in a suitable way, these observers use the electromagnetic oscillations in the wave as…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Stefan Popescu , George J. Spix

The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in…

Popular Physics · Physics 2009-10-01 J. H. Field

An analysis of the Lorentz transformation shows that the unchangeability of the space-time coordinates of the inertial systems under consideration and the possibility of a direct projection of those coordinates onto another are the…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

A brief summary of the objections to the relational nature of inertial mass, gravitational mass and electric charge is presented. The objections are refuted by showing that the measurement process of comparing an instrument reference clock…

Classical Physics · Physics 2014-06-24 Craig R. Holt

Relativity and classical dynamics, as defined so far, form distinct parts of classical physics and are formulated based on independent principles. We propose that the formalism of classical dynamics can be considered as the theoretical…

General Physics · Physics 2018-08-10 Mozafar Karamian , Mahdi Atiq , Fatemeh Najdat , Mehdi Golshani

In this work, Einstein's view of geometry as physical geometry is taken into account in the analysis of diverse issues related to the notions of inertial motion and inertial reference frame. Einstein's physical geometry enables a…

History and Philosophy of Physics · Physics 2014-04-29 Mario Bacelar Valente

We derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT. We find a general…

Classical Physics · Physics 2022-12-08 Satadal Datta

Incompatibility between the principle of the constancy of the speed of light and the Lorentz contraction in the global positioning system (GPS) is discussed. The GPS works precisely in the earth-centered locally inertial (ECI) coordinate…

General Physics · Physics 2007-05-23 Masanori Sato

We posit a second massless photon, uncoupled to known forms of matter but undergoing Lorentz non-invariant velocity mixing with ordinary photons. Our speculation within a speculation suffers from the sin of implausibility but enjoys the…

Astrophysics · Physics 2009-10-30 Sheldon L. Glashow

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…

Classical Physics · Physics 2026-04-14 Gerd Wagner , Matthew W. Guthrie