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In this Ph.D. thesis several topics in doubly special relativity are explored. The starting point of this theory is very different from other perspectives: it is not a fundamental theory, but it is considered a low energy limit of a quantum…

High Energy Physics - Theory · Physics 2020-08-20 J. J. Relancio

The Lorentz Transformation is traditionally derived requiring the Principle of Relativity and light-speed universality. While the latter can be relaxed, the Principle of Relativity is seen as core to the transformation. The present letter…

General Physics · Physics 2009-11-11 M. Dima

Doppler effect and Hubble effect in different models of space-time related to the space-time velocity of an observer are considered. The Doppler effect and Doppler shift frequency parameter are connected with the kinematic characteristics…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse…

Mathematical Physics · Physics 2007-05-23 Chao Y. Yang

The paper presents a relativistic space-time diagram, which displays in true values the space (Cartesian and polar) and the time coordinates of the same event detected from two inertial reference frames in relative motion related by the…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Corina Nafornita

We consider a scenario that involves a machine gun, the bullets it fires and a moving target, considered from the rest frame of the machine gun and from the rest frame of the target respectively. Involving the special relativity via its two…

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

Double Special Relativity theories are the relativistic theories in which the transformations between inertial observers are characterized by two observer-independent scales of the light speed and the Planck length. We study two main…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Nosratollah Jafari , Ahmad Shariati

Einstein based his special theory of relativity on two postulates: (a) physical laws appear the same in all inertial frames, and (b) the speed of light in vacuum is an observer-independent constant. However, it is already known that the…

Classical Physics · Physics 2021-11-24 Vikramaditya Mondal

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

A challenge in teaching about special relativity is that a number of the theory's effects are at odds with the intuition of classical physics, as well as student's everyday experience. The relativity of simultaneity, time dilation and…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Markus Pössel

Although electromagnetic and acoustic waves profoundly differ in their nature, comparing their Doppler effects is instructive and reveals persistent conceptual traps. The principle of the Doppler effect was presented by Christian Doppler in…

Classical Physics · Physics 2022-02-23 Denis Michel

The time delay between the receptions of ultra-relativistic particles emitted simultaneously is a useful observable for both fundamental physics and cosmology. The expression of the delay when the particles travel through an arbitrary…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Pierre Fleury

We derive the delay in travel time of photons due to the spin of a body both inside a rotating shell and outside a rotating body. We then show that this time delay by the spin of an astrophysical object might be detected in different images…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignazio Ciufolini , Franco Ricci

In the framework of special relativity, all particles are point-like or string-like. This nature of particles has caused the divergence difficulties in quantum field, string and superstring theories. In the framework of special relativity,…

General Physics · Physics 2007-05-23 Jian-Miin Liu

Newton's law of motion relative to an inertial frame ("the laboratory") for a particle subject to a force acting at a certain time may be interpreted in either of two ways: (1) The force acting on the particle during an infinitesimal time…

Classical Physics · Physics 2007-05-23 Gonzalo E. Reyes , Antoine Royer

We compare the results obtained by interpreting some fundamental relativistic experiments from the point of view of two alternative theories: Einstein's special relativity theory and the Lorentz-Poincare theory admitting the existence of a…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu , George J. Spix

Motion of bodies and light rays are studied in the gravitational field of Schwarzschild. Several Doppler effects are described. ----- Movado de korpoj kaj lumo estas studitaj en gravita kampo de Schwarzschild. Pluraj Doppleraj efikoj estas…

General Physics · Physics 2009-12-08 F. M. Paiva , A. F. F. Teixeira

A deformation of special relativistic kinematics (possible signal of a theory of quantum gravity at low energies) leads to a modification of the notion of spacetime. At the classical level, this modification is required when one considers a…

High Energy Physics - Theory · Physics 2019-12-02 J. M. Carmona , J. L. Cortes , J. J. Relancio

Lecture at BOSS2011 on relativistic metrology, on clock synchronization, relativistic dynamics and non-inertial frames in Minkowski spacetime, on relativistic atomic physics, on ADM canonical tetrad gravity in asymptotically Minkowskian…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Luca Lusanna

We conclude that Special relativity effects are caused by a period of acceleration in the past, before they are measure in uniform velocity. This can be regarded as extension of the equivalence principle of General Relativity.We define the…

General Physics · Physics 2010-06-15 E. M. Yahalomi