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We give precise details to support that observations of gravitational lensing at scales of individual, groups and clusters of galaxies can be understood in terms of non-Newtonian gravitational interactions with a relativistic structure…

General Relativity and Quantum Cosmology · Physics 2015-06-02 S. Mendoza , G. J. Olmo

The geometry that is defined by the scalars in couplings of Einstein-Maxwell theories in N=2 supergravity in 4 dimensions is denoted as special Kaehler geometry. There are several equivalent definitions, the most elegant ones involve the…

Differential Geometry · Mathematics 2007-05-23 Antoine Van Proeyen

We generalize the Galileon duality to any single scalar field Lagrangian coupled locally to any matter field. Under the duality, a generalized Galileon maps into another generalized Galileon via a one parameter group of transformations,…

High Energy Physics - Theory · Physics 2014-07-30 Claudia de Rham , Luke Keltner , Andrew J. Tolley

The confrontation between Einstein's theory of gravitation and experiment is summarized. Although all current experimental data are compatible with general relativity, the importance of pursuing the quest for possible deviations from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Damour

Special theory of relativity has been formulated in a vacuum momentum-energy representation which is equivalent to Einstein special relativity and predicts just the same results as it. Although in this sense such a formulation would be at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. F. Gonzalez-Diaz

The Special Theory of Relativity and the Theory of the Electron have had an interesting history together. Originally the electron was studied in a non relativistic context and this opened up the interesting possibility that lead to the…

General Physics · Physics 2009-11-13 B. G. Sidharth

We investigate the dimensional reduction of 3+1 vacuum axisymmetric Einstein's equations to 2+1 dimensional Einstein-wave map system and observe that the resulting system is 1) not asymptotically flat, 2) its geometric-mass diverges and 3)…

Analysis of PDEs · Mathematics 2017-02-28 Nishanth Gudapati

This year marks the hundredth anniversary of Einstein's 1915 landmark paper "Die Feldgleichungen der Gravitation" in which the field equations of general relativity were correctly formulated for the first time, thus rendering general…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Martin Bucher , Wei-Tou Ni

Many professional physicists do not fully understand the implications of the Einstein equivalence principle of general relativity. Consequently, many are unaware of the fact that special relativity is fully capable of handling accelerated…

Physics Education · Physics 2019-07-05 R. A. Pepino , R. W. Mabile

The analytic hyperbolic geometric viewpoint of Einstein's special theory of relativity is presented.

Mathematical Physics · Physics 2013-02-28 Abraham A. Ungar

Einstein's Special Theory of Relativity was proposed a little over a hundred years back. It remained a bedrock of twentieth century physics right up to Quantum Field Theory. However, the failure over several decades to provide a unified…

General Physics · Physics 2007-05-23 B. G. Sidharth

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

The special theory of relativity does not predict the existence of photons (quanta of electromagnetic radiation). However, it is demonstrated here that it follows from the special theory of relativity that if photons do exist---and we know…

Quantum Physics · Physics 2012-08-31 I. Mayer

It is commonly remarked that contemporary physics faces a challenge in reconciling quantum theory with Relativity, specifically General Relativity as a theory of gravity. But "challenge" is too mild a descriptor. Once one understands both…

History and Philosophy of Physics · Physics 2025-03-27 Tim Maudlin

We highlight the correspondence between one-dimensional Lorentz transformations, which relate events observed from two distinct inertial reference frames, and ray transfer transformations in Gaussian optics. Specifically, we identify…

Optics · Physics 2026-01-22 M. A. Bouchene

An analysis of composite inertial motion (relativistic sum) within the framework of special relativity leads to the conclusion that every translational motion must be the symmetrically composite relativistic sum of a finite number of quanta…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

Einstein's theory of general relativity, which contains a universal value of the Planck mass, has been so far successfully invoked to explain gravitational dynamics from sub-millimeter scales to the scale of the cosmological horizon.…

Astrophysics · Physics 2009-11-13 Georg Robbers , Niayesh Afshordi , Michael Doran

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level. All the basic structures of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

A calculus based on pointer-mark coincidences is proposed to define, in a mathematically rigorous way, measurements of space and time intervals. The connection between such measurements in different inertial frames according to the Galilean…

General Physics · Physics 2011-10-26 J. H. Field

In this article, we argue that the theory of special relativity, as formulated by Einstein, is a philosophical rather than a scientific theory. What is scientific and experimentally supported is the formalism of the relativistic mechanics…

General Physics · Physics 2016-10-19 Taha Sochi