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Special relativity asserts that physical phenomena appear the same for all inertially moving observers. This symmetry, called Lorentz symmetry, relates long wavelengths to short ones: if the symmetry is exact it implies that spacetime must…

Astrophysics · Physics 2011-07-19 T. Jacobson , S. Liberati , D. Mattingly

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

This paper deals with four topics: The first subject is Abraham's spherical electron, Lorentz's contracted electron and B\"ucherer's electron. The second topic is Einstein's 1905 relativity theory of the motion of an electron. Einstein…

History and Philosophy of Physics · Physics 2012-05-29 Galina Weinstein

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero

Special relativity calculates, by means of the Lorentz gamma factor, the proper time of all inertial systems from the observer proper time, which is taken as a time standard. So, any temporal inference relies in first instance on the…

General Physics · Physics 2010-01-19 G. Sardin

This is a short note to announce the availability of some movies that may be useful in classroom discussions on the photographic appearance of objects moving at relativistic speeds. The images are based on special relativity with no account…

Physics Education · Physics 2007-05-23 Leo Brewin

In multi-spectral images made by Earth observation satellites that use push-broom scanning, such as those operated by Planet Labs Corp., moving objects can be identified by the appearance of the object at a different locations in each…

Earth and Planetary Astrophysics · Physics 2024-06-21 Eric Keto , Wesley Andres Watters

We note that Einstein's relativistic Doppler formula presents a strange aspect. For incident light received under a fixed non zero angle, the Doppler shift will change from blueshift to redshift (or vice-versa) for some critical relative…

Classical Physics · Physics 2007-05-23 Pierseaux Yves

Generalized Lorentz transformations with modified velocity parameter are considered. Lorentz transformations depending on the mass of the observer are suggested.The modified formula for the addition of velocities remarkably preserves the…

General Physics · Physics 2013-12-06 Virendra Gupta

Physicists have been interested in accelerated observers for quite some time. Since the advent of special relativity, many authors have tried to understand these observers in the framework of Minkowski spacetime. One of the most important…

General Relativity and Quantum Cosmology · Physics 2013-10-04 J. B. Formiga

We discuss the deflection of light and Shapiro delay under the influence of gravity as described by Schwarzschild metric. We obtain an exact expression based on the coordinate velocity, as first set forth by Einstein, and present a…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Sina Ataollah Khorasani

We reconsider velocity addition/subtraction in Special Relativity and re-derive its well-known non-commutative and non-associative algebraic properties in a self contained way, including various explicit expressions for the Thomas angle,…

Mathematical Physics · Physics 2026-03-25 Domenico Giulini

In the standard model of universe the increase in mass of our observed expansive Universe is explained by the assumption of emerging the matter objects on the horizon (of the most remote visibility). However, the physical analysis of the…

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

Doppler lensing, a relativistic effect resulting from the peculiar velocities of galaxies along the line of sight, provides insight into the large-scale structure of the Universe. Relativistic simulations are essential for modeling Doppler…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-23 Mubtasim Fuad , Sonia Akter Ema , Md Rasel Hossen

Real Time Relativity is a computer program that lets students fly at relativistic speeds though a simulated world populated with planets, clocks, and buildings. The counterintuitive and spectacular optical effects of relativity are…

Physics Education · Physics 2011-11-10 C. M. Savage , A. Searle , L. McCalman

We aim to investigate the theory of Lorentz violation with an invariant minimum speed so-called Symmetrical Special Relativity (SSR) from the viewpoint of its metric. Thus we should explore the nature of SSR-metric in order to understand…

Equivalence principles are a major part of modern relativity theory. Gravitational shifts can already be calculated within the time domain as motion shifts, and we examine the consequences of reversing this argument and describing motion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Baird

I examine the interpretation of photon redshifts in curved spacetime, as being gravitational or Doppler in origin. In Friedmann-Lema\^itre-Robertson-Walker spacetime, redshifts between comoving observers are often attributed to "expanding…

General Relativity and Quantum Cosmology · Physics 2019-11-14 Colin MacLaurin

The incorporation of an adequate discrete expansion to the formalism of the special relativity that does not allow gravitational acceleration unravels unexplored phenomena. This extension takes into account consequences of a small variation…

General Physics · Physics 2022-08-30 Faycal Ben Adda

The properties of light in the presence of electromagnetic and gravitational fields are compared. Once one takes account of the fact that clock rates vary with distance from a massive object, it is argued that in an absolute sense light…

General Physics · Physics 2009-04-22 Robert J. Buenker