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Einstein's thesis ``A New Determination of Molecular Dimensions'' was the second of his five celebrated papers in 1905. Although it is -- thanks to its widespread practical applications -- the most quoted of his papers, it is less known…

History and Philosophy of Physics · Physics 2007-05-23 Norbert Straumann

I propose an alternative, purely kinematical, derivation of Einstein's Doppler formula. It is valid for periodic signals of any shape that propagate with the velocity of light. The formula is asymptotic in a parameter proportional to the…

General Physics · Physics 2009-02-09 Jean Reignier

Recent discovery of the rate of expansion of the Universe (Reiss A.G. et al., 1998; Perlimutter S. et al., 1999) is connected with the vacuum energy in space which, in turn, can be considered (Gliner E.B., 1965) as the cosmological constant…

Astrophysics · Physics 2007-05-23 V. M. Lipunov

This work analyzes the difficulties in learning and teaching Einstein's theory of special relativity. An extensive bibliographic review has been performed, considering articles published in the most relevant journals on science education,…

Physics Education · Physics 2021-07-20 Xabier Prado , José Manuel Domínguez , Iván Area , José Edelstein , Jorge Mira , Ángel Paredes

We present a basics of the Einstein General Theory of Relativity. In the first part of this review we derive relations of Riemann geometry which are used in the General Relativity. In the second part we discuss Einstein Equations and some…

General Relativity and Quantum Cosmology · Physics 2020-10-23 S. M. Bilenky

In the context of special relativity, we describe with detail the Doppler effect between a light source at rest and an observer in linear motion and constant proper acceleration. To have an Englis version of this article, ask the authors.…

Classical Physics · Physics 2008-08-04 F M Paiva , A F F Teixeira

This is a brief introduction to general relativity, designed for both students and teachers of the subject. While there are many excellent expositions of general relativity, few adequately explain the geometrical meaning of the basic…

General Relativity and Quantum Cosmology · Physics 2015-06-15 John C. Baez , Emory F. Bunn

We review the foundations of Einstein's general theory of relativity, discuss recent progress in the tests of relativistic gravity, and present motivations for new generation of high-accuracy gravitational experiments. We discuss the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Slava G. Turyshev

In 1910 Einstein published a crucial aspect of his understanding of Boltzmann entropy. He essentially argued that the likelihood function of any system composed by two probabilistically independent subsystems {\it ought} to be factorizable…

Statistical Mechanics · Physics 2015-05-22 Constantino Tsallis , Hans J. Haubold

Einstein established the theory of general relativity and the corresponding field equation in 1915 and its vacuum solutions were obtained by Schwarzschild and Kerr for, respectively, static and rotating black holes, in 1916 and 1963,…

High Energy Astrophysical Phenomena · Physics 2016-09-08 Banibrata Mukhopadhyay

In this article we show that Einstein covariance principle provides a wide opportunity in the solutions of different problems of theoretical physics. Here we apply covariance principle in some problems of classical electrodynamics and…

Mathematical Physics · Physics 2007-05-23 V. M. Mekhitarian , V. E. Mkrtchian

A general information-theoretic framework for deriving physical laws is presented and a principle of informational physics is enunciated within its context. Existing approaches intended to derive physical laws from information-theoretic…

Data Analysis, Statistics and Probability · Physics 2009-02-23 Nisheeth Srivastava

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

Recently, [3], it was shown that Special Relativity is in fact based on one single physical axiom which is that of Reciprocity. Originally, Einstein, [1], established Special Relativity on two physical axioms, namely, the Galilean…

General Physics · Physics 2010-06-17 Elemer E. Rosinger

The present Editorial introduces the Special Issue dedicated by the journal Universe to the General Theory of Relativity, the beautiful theory of gravitation of Einstein, a century after its birth. It reviews some of its key features in a…

General Relativity and Quantum Cosmology · Physics 2015-04-24 Lorenzo Iorio

This is a semipopular introduction to the Special and General Theory of Relativity, with special emphasis on the geometrical aspects of both theories and their physical implications.

Popular Physics · Physics 2007-05-23 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo

Einstein's theoretical analysis of mass-energy equivalence, already, at the time, experimentally evident in radioactive decays, in two papers published in 1905, as well as Planck's introduction, in 1906, of the concepts of relativistic…

History and Philosophy of Physics · Physics 2015-06-22 J. H. Field

A new term describing interactions between charge and potentials may be added to the right hand side of the Einstein equations. In the proposed term an additional tensor has been introduced containing a charge density, analogous to the…

General Physics · Physics 2016-09-08 Jacob Biemond

This paper reconstructs the derivations underlying the kinematical part of Einstein's 1905 special relativity paper, emphasizing their operational clarity and minimalist use of mathematics. Einstein employed modest tools-algebraic…

History and Philosophy of Physics · Physics 2025-09-03 Galina Weinstein

Einstein's theory of general relativity (GR) provides the best available description of gravity. The recent detection of gravitational waves and the first picture of a black hole have provided spectacular confirmations of GR, as well as…

Physics Education · Physics 2020-08-26 Jorge Pinochet