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Kaluza-Klein Gravity, Concentrating on the General Rel- Ativity, Rather Than Particle Physics Side of the Subject
Kaluza-Klein Gravity J. M. Overduin Department of Physics and Astronomy, University of Victoria, P.O. Box 3055, Victoria, British Columbia, Canada, V8W 3P6 and P. S. Wesson Department of Physics, University of Waterloo, Ontario, Canada N2L 3G1 and Gravity Probe-B, Hansen Physics Laboratories, Stanford University, Stanford, California, U.S.A. 94305 Abstract We review higher-dimensional unified theories from the general relativity, rather than the particle physics side. Three distinct approaches to the subject are identi- fied and contrasted: compactified, projective and noncompactified. We discuss the cosmological and astrophysical implications of extra dimensions, and conclude that none of the three approaches can be ruled out on observational grounds at the present time. arXiv:gr-qc/9805018v1 7 May 1998 Preprint submitted to Elsevier Preprint 3 February 2008 1 Introduction Kaluza’s [1] achievement was to show that five-dimensional general relativity contains both Einstein’s four-dimensional theory of gravity and Maxwell’s the- ory of electromagnetism. He however imposed a somewhat artificial restriction (the cylinder condition) on the coordinates, essentially barring the fifth one a priori from making a direct appearance in the laws of physics. Klein’s [2] con- tribution was to make this restriction less artificial by suggesting a plausible physical basis for it in compactification of the fifth dimension. This idea was enthusiastically received by unified-field theorists, and when the time came to include the strong and weak forces by extending Kaluza’s mechanism to higher dimensions, it was assumed that these too would be compact. This line of thinking has led through eleven-dimensional supergravity theories in the 1980s to the current favorite contenders for a possible “theory of everything,” ten-dimensional superstrings. -
Selected Papers on Teleparallelism Ii
SELECTED PAPERS ON TELEPARALLELISM Edited and translated by D. H. Delphenich Table of contents Page Introduction ……………………………………………………………………… 1 1. The unification of gravitation and electromagnetism 1 2. The geometry of parallelizable manifold 7 3. The field equations 20 4. The topology of parallelizability 24 5. Teleparallelism and the Dirac equation 28 6. Singular teleparallelism 29 References ……………………………………………………………………….. 33 Translations and time line 1928: A. Einstein, “Riemannian geometry, while maintaining the notion of teleparallelism ,” Sitzber. Preuss. Akad. Wiss. 17 (1928), 217- 221………………………………………………………………………………. 35 (Received on June 7) A. Einstein, “A new possibility for a unified field theory of gravitation and electromagnetism” Sitzber. Preuss. Akad. Wiss. 17 (1928), 224-227………… 42 (Received on June 14) R. Weitzenböck, “Differential invariants in EINSTEIN’s theory of teleparallelism,” Sitzber. Preuss. Akad. Wiss. 17 (1928), 466-474……………… 46 (Received on Oct 18) 1929: E. Bortolotti , “ Stars of congruences and absolute parallelism: Geometric basis for a recent theory of Einstein ,” Rend. Reale Acc. dei Lincei 9 (1929), 530- 538...…………………………………………………………………………….. 56 R. Zaycoff, “On the foundations of a new field theory of A. Einstein,” Zeit. Phys. 53 (1929), 719-728…………………………………………………............ 64 (Received on January 13) Hans Reichenbach, “On the classification of the new Einstein Ansatz on gravitation and electricity,” Zeit. Phys. 53 (1929), 683-689…………………….. 76 (Received on January 22) Selected papers on teleparallelism ii A. Einstein, “On unified field theory,” Sitzber. Preuss. Akad. Wiss. 18 (1929), 2-7……………………………………………………………………………….. 82 (Received on Jan 30) R. Zaycoff, “On the foundations of a new field theory of A. Einstein; (Second part),” Zeit. Phys. 54 (1929), 590-593…………………………………………… 89 (Received on March 4) R. -
Misner/Wheeler Correct About Einstein's Unified Field Theory Being Successful Author
Title – Misner/Wheeler correct about Einstein's Unified Field Theory being successful Author – Rodney Bartlett Abstract – In 1957, Charles Misner and John Wheeler, in the “Annals of Physics”, claimed Albert Einstein’s latest equations demonstrated the unified field theory. It has been argued that the gravitational fields, if known everywhere but only for a limited time, do not contain enough information about their electromagnetism to allow the future to be determined, so Einstein's unified theory fails. Physicists also argue that a unified "theory of everything" must now include not just gravity and electromagnetism, but also the weak and strong nuclear forces plus dark matter and dark energy. This article claims Misner and Wheeler were correct, and addresses all modern objections. Content - It is my belief that Charles Misner and John Wheeler were correct in 1957 when they said Einstein was successful in proving his Unified Field Theory. Einstein successfully proved the Unified Field Theory, combining gravitational and electromagnetic equations. Despite what modern science mistakenly thinks, this means everything (electromagnetism, time, space, matter, dark matter, dark energy and the nuclear forces within atoms) has no separate existence from gravitation. In the 19th century, Scottish mathematician and physicist James Clerk Maxwell unified electricity and magnetism into electromagnetism. Albert Einstein's equations say that in a universe possessing only gravitation and electromagnetism, the gravitational fields carry enough information about electromagnetism to allow the equations of Maxwell to be restated in terms of these gravitational fields. This was discovered by the mathematical physicist George Yuri Rainich (1886 -1968). England’s Professor Penrose has argued that the gravitational fields, if known everywhere but only for a limited time, do not contain enough information about their electromagnetism to allow the future to be determined, so Einstein's unified theory fails. -
Chasing the Light Einsteinʼs Most Famous Thought Experiment 1
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by PhilSci Archive November 14, 17, 2010; May 7, 2011 Chasing the Light Einsteinʼs Most Famous Thought Experiment John D. Norton Department of History and Philosophy of Science Center for Philosophy of Science University of Pittsburgh http://www.pitt.edu/~jdnorton Prepared for Thought Experiments in Philosophy, Science and the Arts, eds., James Robert Brown, Mélanie Frappier and Letitia Meynell, Routledge. At the age of sixteen, Einstein imagined chasing after a beam of light. He later recalled that the thought experiment had played a memorable role in his development of special relativity. Famous as it is, it has proven difficult to understand just how the thought experiment delivers its results. It fails to generate problems for an ether-based electrodynamics. I propose that Einstein’s canonical statement of the thought experiment from his 1946 “Autobiographical Notes,” makes most sense not as an argument against ether-based electrodynamics, but as an argument against “emission” theories of light. 1. Introduction How could we be anything but charmed by the delightful story Einstein tells in his “Autobiographical Notes” of a striking thought he had at the age of sixteen? While recounting the efforts that led to the special theory of relativity, he recalled (Einstein, 1949, pp. 52-53/ pp. 49-50): 1 ...a paradox upon which I had already hit at the age of sixteen: If I pursue a beam of light with the velocity c (velocity of light in a vacuum), I should observe such a beam of light as an electromagnetic field at rest though spatially oscillating. -
Book of Abstracts Ii Contents
Spring workshop on gravity and cosmology Monday, 25 May 2020 - Friday, 29 May 2020 Jagiellonian University Book of Abstracts ii Contents Stochastic gravitational waves from inflaton decays ..................... 1 Approximate Killing symmetries in non-perturbative quantum gravity .......... 1 Disformal transformations in modified teleparallelism .................... 1 Quantum fate of the BKL scenario ............................... 2 Ongoing Efforts to Constrain Lorentz Symmetry Violation in Gravity ........... 2 Proof of the quantum null energy condition for free fermionic field theories . 2 Cosmic Fibers and the parametrization of time in CDT quantum gravity . 3 Stable Cosmology in Generalised Massive Gravity ...................... 3 Constraining the inflationary field content .......................... 3 The (glorious) past, (exciting) present and (foreseeable) future of gravitational wave detec- tors. ............................................. 4 reception ............................................. 4 Testing Inflation with Primordial Messengers ........................ 4 Gravitational waves from inflation ............................... 4 CDT, a theory of quantum geometry. ............................. 4 Cosmic Fibers and the parametrization of time in CDT quantum gravity . 5 Loop-based observables in 4D CDT .............................. 5 Spectral Analysis of Causal Dynamical Triangulations via Finite Element Methods . 5 A consistent theory of D -> 4 Einstein-Gauss-Bonnet gravity ................ 5 Quantum Ostrogradsky theorem -
Alternative Gravitational Theories in Four Dimensions
Alternative Gravitational Theories in Four Dimensionsa Friedrich W. Hehl Institute for Theoretical Physics, University of Cologne, D-50923 K¨oln, Germany email: [email protected] We argue that from the point of view of gauge theory and of an appropriate interpretation of the interferometer experiments with matter waves in a gravitational field, the Einstein- Cartan theory is the best theory of gravity available. Alternative viable theories are general relativity and a certain teleparallelism model. Objections of Ohanian & Ruffini against the Einstein-Cartan theory are discussed. Subsequently we list the papers which were read at the ‘Alternative 4D Session’ and try to order them, at least partially, in the light of the structures discussed. 1 The best alternative theory? I would call general relativity theory8 GR the best available alternative gravitational 21,14 theory and the next best one its teleparallel equivalent GR||. Because of these two theories, at least, it is good to have this alternative session during the Marcel Grossmann Meeting. Let me try to explain why I grant to GR the distinction of being the best alternative theory. After finally having set up special relativity theory in 1905, Einstein subse- quently addressed the question of how to generalize Newton’s gravitational theory as to make it consistent with special relativity, that is, how to reformulate it in a Poincar´ecovariant way. Newton’s theory was a battle tested theory in the realm of our planetary system and under normal laboratory conditions. It has predictive power as it had been shown by the prediction of the existence of the planet Neptune in the last century. -
Teleparallelism Arxiv:1506.03654V1 [Physics.Pop-Ph] 11 Jun 2015
Teleparallelism A New Way to Think the Gravitational Interactiony At the time it celebrates one century of existence, general relativity | Einstein's theory for gravitation | is given a companion theory: the so-called teleparallel gravity, or teleparallelism for short. This new theory is fully equivalent to general relativity in what concerns physical results, but is deeply different from the con- ceptual point of view. Its characteristics make of teleparallel gravity an appealing theory, which provides an entirely new way to think the gravitational interaction. R. Aldrovandi and J. G. Pereira Instituto de F´ısica Te´orica Universidade Estadual Paulista S~aoPaulo, Brazil arXiv:1506.03654v1 [physics.pop-ph] 11 Jun 2015 y English translation of the Portuguese version published in Ci^enciaHoje 55 (326), 32 (2015). 1 Gravitation is universal One of the most intriguing properties of the gravitational interaction is its universality. This hallmark states that all particles of nature feel gravity the same, independently of their masses and of the matter they are constituted. If the initial conditions of a motion are the same, all particles will follow the same trajectory when submitted to a gravitational field. The origin of universality is related to the concept of mass. In principle, there should exist two different kinds of mass: the inertial mass mi and the gravitational mass mg. The inertial mass would describe the resistance a particle shows whenever one attempts to change its state of motion, whereas the gravitational mass would describe how a particle reacts to the presence of a gravitational field. Particles with different relations mg=mi, therefore, should feel gravity differently when submitted to a given gravitational field. -
Plasma Modes in Surrounding Media of Black Holes and Vacuum Structure - Quantum Processes with Considerations of Spacetime Torque and Coriolis Forces
COLLECTIVE COHERENT OSCILLATION PLASMA MODES IN SURROUNDING MEDIA OF BLACK HOLES AND VACUUM STRUCTURE - QUANTUM PROCESSES WITH CONSIDERATIONS OF SPACETIME TORQUE AND CORIOLIS FORCES N. Haramein¶ and E.A. Rauscher§ ¶The Resonance Project Foundation, [email protected] §Tecnic Research Laboratory, 3500 S. Tomahawk Rd., Bldg. 188, Apache Junction, AZ 85219 USA Abstract. The main forces driving black holes, neutron stars, pulsars, quasars, and supernovae dynamics have certain commonality to the mechanisms of less tumultuous systems such as galaxies, stellar and planetary dynamics. They involve gravity, electromagnetic, and single and collective particle processes. We examine the collective coherent structures of plasma and their interactions with the vacuum. In this paper we present a balance equation and, in particular, the balance between extremely collapsing gravitational systems and their surrounding energetic plasma media. Of particular interest is the dynamics of the plasma media, the structure of the vacuum, and the coupling of electromagnetic and gravitational forces with the inclusion of torque and Coriolis phenomena as described by the Haramein-Rauscher solution to Einstein’s field equations. The exotic nature of complex black holes involves not only the black hole itself but the surrounding plasma media. The main forces involved are intense gravitational collapsing forces, powerful electromagnetic fields, charge, and spin angular momentum. We find soliton or magneto-acoustic plasma solutions to the relativistic Vlasov equations solved in the vicinity of black hole ergospheres. Collective phonon or plasmon states of plasma fields are given. We utilize the Hamiltonian formalism to describe the collective states of matter and the dynamic processes within plasma allowing us to deduce a possible polarized vacuum structure and a unified physics. -
Building a Popular Science Library Collection for High School to Adult Learners: ISSUES and RECOMMENDED RESOURCES
Building a Popular Science Library Collection for High School to Adult Learners: ISSUES AND RECOMMENDED RESOURCES Gregg Sapp GREENWOOD PRESS BUILDING A POPULAR SCIENCE LIBRARY COLLECTION FOR HIGH SCHOOL TO ADULT LEARNERS Building a Popular Science Library Collection for High School to Adult Learners ISSUES AND RECOMMENDED RESOURCES Gregg Sapp GREENWOOD PRESS Westport, Connecticut • London Library of Congress Cataloging-in-Publication Data Sapp, Gregg. Building a popular science library collection for high school to adult learners : issues and recommended resources / Gregg Sapp. p. cm. Includes bibliographical references and index. ISBN 0–313–28936–0 1. Libraries—United States—Special collections—Science. I. Title. Z688.S3S27 1995 025.2'75—dc20 94–46939 British Library Cataloguing in Publication Data is available. Copyright ᭧ 1995 by Gregg Sapp All rights reserved. No portion of this book may be reproduced, by any process or technique, without the express written consent of the publisher. Library of Congress Catalog Card Number: 94–46939 ISBN: 0–313–28936–0 First published in 1995 Greenwood Press, 88 Post Road West, Westport, CT 06881 An imprint of Greenwood Publishing Group, Inc. Printed in the United States of America TM The paper used in this book complies with the Permanent Paper Standard issued by the National Information Standards Organization (Z39.48–1984). 10987654321 To Kelsey and Keegan, with love, I hope that you never stop learning. Contents Preface ix Part I: Scientific Information, Popular Science, and Lifelong Learning 1 -
Einstein and the Kaluza-Klein Particle
ITFA-99-28 Einstein and the Kaluza-Klein particle Jeroen van Dongen1 Institute for Theoretical Physics, University of Amsterdam Valckeniersstraat 65 1018 XE Amsterdam and Joseph Henry Laboratories, Princeton University Princeton NJ 08544 Abstract In his search for a unified field theory that could undercut quantum mechanics, Einstein considered five dimensional classical Kaluza-Klein theory. He studied this theory most intensively during the years 1938-1943. One of his primary objectives was finding a non-singular particle solution. In the full theory this search got frustrated and in the x5-independent theory Einstein, together with Pauli, argued it would be impossible to find these structures. Keywords: Einstein; Unified Field Theory; Kaluza-Klein Theory; Quantization; Soli- tons 1 Introduction After having formulated general relativity Albert Einstein did not immediately focus on the unification of electromagnetism and gravity in a classical field theory - the issue that would characterize much of his later work. It was still an open question to him whether arXiv:gr-qc/0009087v1 26 Sep 2000 relativity and electrodynamics together would cast light on the problem of the structure of matter [18]. Rather, in a 1916 paper on gravitational waves he anticipated a different development: since the electron in its atomic orbit would radiate gravitationally, something that cannot “occur in reality”, he expected quantum theory would have to change not only the ”Maxwellian electrodynamics, but also the new theory of gravitation” [19]2. Einstein’s position, however, gradually changed. From about 1919 onwards, he took a strong interest in the unification programme3. In later years, after about 1926, he hoped that he would find a particular classical unified field theory that could undercut quantum theory. -
Fundamental Geometrodynamic Justification of Gravitomagnetism
Issue 2 (October) PROGRESS IN PHYSICS Volume 16 (2020) Fundamental Geometrodynamic Justification of Gravitomagnetism (I) G. G. Nyambuya National University of Science and Technology, Faculty of Applied Sciences – Department of Applied Physics, Fundamental Theoretical and Astrophysics Group, P.O. Box 939, Ascot, Bulawayo, Republic of Zimbabwe. E-mail: [email protected] At a most fundamental level, gravitomagnetism is generally assumed to emerge from the General Theory of Relativity (GTR) as a first order approximation and not as an exact physical phenomenon. This is despite the fact that one can justify its existence from the Law of Conservation of Mass-Energy-Momentum in much the same manner one can justify Maxwell’s Theory of Electrodynamics. The major reason for this is that in the widely accepted GTR, Einstein cast gravitation as a geometric phenomenon to be understood from the vantage point of the dynamics of the metric of spacetime. In the literature, nowhere has it been demonstrated that one can harness the Maxwell Equa- tions applicable to the case of gravitation – i.e. equations that describe the gravitational phenomenon as having a magnetic-like component just as happens in Maxwellian Elec- trodynamics. Herein, we show that – under certain acceptable conditions where Weyl’s conformal scalar [1] is assumed to be a new kind of pseudo-scalar and the metric of spacetime is decomposed as gµν = AµAν so that it is a direct product of the components of a four-vector Aµ – gravitomagnetism can be given an exact description from within Weyl’s beautiful but supposedly failed geometry. My work always tried to unite the Truth with the Beautiful, consistent mathematical framework that has a direct corre- but when I had to choose one or the other, I usually chose the spondence with physical and natural reality as we know it. -
A Teleparallel Effective Geometry for Einstein's Unified Field Theory
A teleparallel effective geometry for Einstein’s unified field theory L.C. Garcia de Andrade 1 Abstract Riemannian and teleparallel geometrical approaches to the investi- gation of Maxwell electrodynamics shown that a unified field theory of gravitation and electromagnetism a la Einstein can be obtained from a stationary metric. This idea contrasts with the recently proposed pre- metric electrodynamics by Hehl and Obukhov. In the teleparallel case the definition of the electric field is obtained straightforward from the spacetime metric and the orthonormal basis frame of teleparallelism. In this case the only nonvanishing component of Cartan torsion is defined as the effective electric field. In this approach the gravita- tional potentials or metric coefficients are expressed in terms of the effective or analogous electric and magnetic potentials. Thefore the arXiv:gr-qc/0501050v1 16 Jan 2005 Maxwell equations in vacuum can be obtained by derivation of this electric field definition as usual. In the Riemannian case we consider an electrostatic spacetime where the Einstein equations in vacuum in the approximation of linear fields. The constraint of Einstein equa- tions in vacuum are shown to lead or to the Coulomb equation or to a singular behaviour on the metric which would represent a kind of effective electrodynamic black hole event horizon. 1Departamento de F´ısica Te´orica - Instituto de F´ısica Rua S˜ao Fco. Xavier 524, Rio de Janeiro, RJ Maracan˜a, CEP:20550-003 , Brasil. E-Mail.: [email protected] 1 Introduction Recently Hehl and Obukhov (HO) [1] have proposed a pre-metric electrody- namics where the metric would be oobtained from constitutive relations of electrodynamics.