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Many papers have been published over the years that either conjecture or even (claim to) prove the universality of the form of Maxwell's equations. We present yet another derivation of Maxwell's equations and discuss the conclusions…

Classical Physics · Physics 2025-01-24 C. Baumgarten

The theory of relativity showed that several Newtonian ideas about spacetime are imperfect. We present here some relativistic concepts related to these ideas: simultaneity of events and synchronization of clocks (both along a line in the…

Classical Physics · Physics 2011-07-08 F. M. Paiva , A. F. F. Teixeira

A review of selected topics in mathematical general relativity

General Relativity and Quantum Cosmology · Physics 2021-12-07 Piotr T. Chrusciel

This is an English translation of the Italian version of an encyclopedia chapter that appeared in the Italian Encyclopedia of the Physical Sciences, edited by Bruno Bertotti (1994). Following requests from colleagues we have decided to make…

History and Philosophy of Physics · Physics 2015-09-07 V. Canuto , I. Goldman

The status of our understanding of relativistic sum rules is reviewed. The recent development of new theoretical methods for the evaluation of these sum rules offers hope for further advances in this challenging field. These new techniques…

Atomic Physics · Physics 2015-06-26 Scott M. Cohen

General Relativity resembles a very elegant crystal glass: If we touch its principles, that is, its Lagrangian, there is a risk of breaking everything. Or, if we will, it is like a short blanket: Curing some problems creates new problems.…

General Relativity and Quantum Cosmology · Physics 2021-07-22 Celia Escamilla-Rivera , Júlio C. Fabris

Five topics: A rigid body does not exist in the special theory of relativity; distant simultaneity defined with respect to a given frame of reference without any reference to synchronized clocks; challenges on Einstein's connection of…

History and Philosophy of Physics · Physics 2012-05-02 Galina Weinstein

We survay some nice result concerning the irrationals with a metric space point of view.Here is ofcourse nothing new may be or an expert in this field.

History and Overview · Mathematics 2007-05-23 Pratip Chakraborty

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

General Relativity is considered to be so far the best gravitation theory. However it is quite hard to use in real situations. The root of these difficulties lays in the non-linearity of the theory. Our aim was not to linearize the theory,…

General Physics · Physics 2007-05-23 Gy. Szondy

Aims: we propose that the condition of relative motion between us and the objects that we observe in the Universe should generate relativistic aberration on the photons that such objects emit, varying the observed flux similarly to the…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-05 Nicolò Cedola

This comment directs attention to some fails of the Alhaidari approach to solve relativistic problems. It is shown that his gauge considerations are way off the mark and that the class of exactly solvable relativistic problems is not so…

High Energy Physics - Theory · Physics 2008-11-26 Antonio S. de Castro

The main construction of the paper in the title [hep-lat/9612017] is summarized using more standard particle physics language. Also, a flaw is pointed out and several objections to the more general thoughts expressed by Creutz et. al. are…

High Energy Physics - Lattice · Physics 2009-10-30 Herbert Neuberger

A brief review of relativistic effects in few-body systems, of theoretical approaches, recent developments and applications is given. Manifestations of relativistic effects in the binding energies, in the electromagnetic form factors and in…

Nuclear Theory · Physics 2011-04-28 V. A. Karmanov

I present a brief review on space and time in different periods of physics, and then talk on the nature of space and time from physical arguments. I discuss the ways to test such a new perspective on space and time through searching for…

High Energy Physics - Phenomenology · Physics 2013-04-30 Bo-Qiang Ma

We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physically meaningful in the case of relativistic mechanics of…

Classical Analysis and ODEs · Mathematics 2022-02-17 R. Ya. Matsyuk

An overview of the experimental and observational status in gravitational physics is given, both for the known tests of general relativity and Newtonian gravity, but also for the increasing number of results where these theories run into…

General Relativity and Quantum Cosmology · Physics 2008-12-14 Alexander Unzicker

We shortly review the state of art and perspectives of Extended Theories of Gravity.

General Relativity and Quantum Cosmology · Physics 2013-07-18 Salvatore Capozziello , Mariafelicia De Laurentis

The idea that quantum gravity manifestations would be associated with a violation of Lorentz invariance is very strongly bounded and faces serious theoretical challenges. Other related ideas seem to be drowning in interpretational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Daniel Sudarsky

We describe a wide class of inhomogeneous relativistic solutions that are well approximated on cosmological scales by solutions of Newtonian gravity. Error estimates measuring the difference between the Newtonian and relativistic solutions…

General Relativity and Quantum Cosmology · Physics 2014-06-06 Todd A. Oliynyk
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