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This article shows how to express relativistic concepts in a visual manner using the full power of hyperbolic trigonometric functions. Minkowski diagrams in energy-momentum space are used in conjunction with hyperbolic triangles. Elegant…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Karol Urbański

This paper presents some ideas which might assist teachers incorporating special relativity into an introductory physics curriculum. One can define the proper-time/velocity pair, as well as the coordinate-time/velocity pair, of a traveler…

Physics Education · Physics 2008-02-03 P. Fraundorf

It is shown that certain aspects of gravitation may be described using a relativistic action-at-a-distance formulation. The equations of motion of the model presented are invariant under Lorentz transformations and agree with the equations…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Domingo J. Louis-Martinez

Relativistic effects affect nearly all notions of quantum information theory. The vacuum behaves as a noisy channel, even if the detectors are perfect. The standard definition of a reduced density matrix fails for photon polarization…

Quantum Physics · Physics 2007-05-23 Asher Peres , Daniel R. Terno

The Lorentz transformations for the optical constants (electric permittivity, magnetic permeability and index of refraction) of moving media are considered.

Optics · Physics 2007-05-23 Jian Qi Shen

We look over recent developments on our understanding about relativistic matter under external electromagnetic fields and mechanical rotation. I review various calculational approaches for concrete physics problems, putting my special…

High Energy Physics - Phenomenology · Physics 2019-06-26 Kenji Fukushima

A modest aim of this pedagogical presentation is to analyze, critically, certain fundamental physical concepts to illustrate the physical principles behind the special theory of relativity and, hence, to also illustrate the limitations of…

General Physics · Physics 2007-05-23 Sanjay M. Wagh

The prospects of using extreme relativistic laser-matter interactions for laboratory astrophysics are discussed. Laser-driven process simulation of matter dynamics at ultra-high energy density is proposed for the studies of astrophysical…

High Energy Astrophysical Phenomena · Physics 2017-02-09 T. Zh. Esirkepov , S. V. Bulanov

We examine the transformation of particle trajectories in models with deformations of Special Relativity that have an energy-dependent and observer-independent speed of light. These transformations necessarily imply that the notion of what…

General Relativity and Quantum Cosmology · Physics 2009-12-03 S. Hossenfelder

The light that we receive from clusters of galaxies is redshifted by the presence of the clusters' gravitational potential. This effect, known as gravitational redshift, was first detected from a sample of stacked clusters in 2011, by…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-29 Enea Di Dio , Sveva Castello , Camille Bonvin

Computer animation in the past decade has become one of the most noticeable features of technology-based learning environments. With today's high educational demands as well as the lack of time provided for certain courses, classical…

Human-Computer Interaction · Computer Science 2015-03-25 Sajid Musa , Rushan Ziatdinov , Omer Faruk Sozcu , Carol Griffiths

Propagation of relativistic particles in the Schwarzschild gravitational field is studied. Particles emitted radially outward with speed at infinity exceeding c/2^0.5 are observed to be accelerated in the gravitational field by a distant…

Earth and Planetary Astrophysics · Physics 2014-11-20 Marek Kutschera , Wieslaw Zajiczek

We find equations of particle motion from the point of view of observer on a rotating disk, and demonstrate that a particle moving along a rotating disk is influenced by forces arising from geometry. They can be considered as analogs of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Bashkov , M. Malakhaltsev

We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. The postulate of the light velocity…

General Physics · Physics 2023-02-21 Congjun Wu

A simple visual representation of Minkowski spacetime appropriate for a student with a background in geometry and algebra is presented. Minkowski spacetime can be modeled with a Euclidean 4-space to yield accurate visualizations as…

Physics Education · Physics 2015-06-03 Don V. Black , M. Gopi , F. Wessel , R. Pajarola , F. Kuester

Some physically interesting weak-gravitational effects and phenomena are reviewed and briefly discussed: particle geometric phases due to the time-dependent spin-rotation couplings, non-inertial gravitational wave in rotating reference of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jian Qi Shen

A general relativistic description of a disk rotating at constant angular velocity is given. It is argued that conceptually this direct approach poses fewer problems than the special relativistic one. For observers on the disk, the geometry…

Popular Physics · Physics 2015-05-30 Klaus Kassner

Recently, there has been increased interest in understanding entanglement and quantum communication in black hole spacetimes and in using quantum information techniques to address questions in gravity. Studies on relativistic entanglement…

Quantum Physics · Physics 2011-06-02 E. Martin-Martinez

We show that relativistic dynamics can be approached without using conservation laws (conservation of momentum, of energy and of the centre of mass). Our approach avoids collisions that are not easy to teach without mnemonic aids. The…

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

A moving dielectric medium acts as an effective gravitational field on light. One can use media with extremely low group velocities [Lene Vestergaard Hau et al., Nature 397, 594 (1999)] to create dielectric analogs of astronomical effects…

Soft Condensed Matter · Physics 2009-10-31 U. Leonhardt , P. Piwnicki
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