Einstein's Grand Quest for a Unified Theory
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Cracking the Einstein Code: Relativity and the Birth of Black Hole Physics, with an Afterword by Roy Kerr / Fulvio Melia
CRA C K I N G T H E E INSTEIN CODE @SZObWdWbgO\RbVS0W`bV]T0ZOQY6]ZS>VgaWQa eWbVO\/TbS`e]`RPg@]gS`` fulvio melia The University of Chicago Press chicago and london fulvio melia is a professor in the departments of physics and astronomy at the University of Arizona. He is the author of The Galactic Supermassive Black Hole; The Black Hole at the Center of Our Galaxy; The Edge of Infinity; and Electrodynamics, and he is series editor of the book series Theoretical Astrophysics published by the University of Chicago Press. The University of Chicago Press, Chicago 60637 The University of Chicago Press, Ltd., London © 2009 by The University of Chicago All rights reserved. Published 2009 Printed in the United States of America 18 17 16 15 14 13 12 11 10 09 1 2 3 4 5 isbn-13: 978-0-226-51951-7 (cloth) isbn-10: 0-226-51951-1 (cloth) Library of Congress Cataloging-in-Publication Data Melia, Fulvio. Cracking the Einstein code: relativity and the birth of black hole physics, with an afterword by Roy Kerr / Fulvio Melia. p. cm. Includes bibliographical references and index. isbn-13: 978-0-226-51951-7 (cloth: alk. paper) isbn-10: 0-226-51951-1 (cloth: alk. paper) 1. Einstein field equations. 2. Kerr, R. P. (Roy P.). 3. Kerr black holes—Mathematical models. 4. Black holes (Astronomy)—Mathematical models. I. Title. qc173.6.m434 2009 530.11—dc22 2008044006 To natalina panaia and cesare melia, in loving memory CONTENTS preface ix 1 Einstein’s Code 1 2 Space and Time 5 3 Gravity 15 4 Four Pillars and a Prayer 24 5 An Unbreakable Code 39 6 Roy Kerr 54 7 The Kerr Solution 69 8 Black Hole 82 9 The Tower 100 10 New Zealand 105 11 Kerr in the Cosmos 111 12 Future Breakthrough 121 afterword 125 references 129 index 133 PREFACE Something quite remarkable arrived in my mail during the summer of 2004. -
Gravity Without Dark Matter
Gravity Without Dark Matter John Moffat Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada 1/13/2005 Miami 2004 1 Contents n 1. Introduction n 2. Gravity theory n 3. Action and field equations n 4. Quantum gravity and group renormalization flow n 5. Modified Newtonian acceleration n and flat galaxy rotation curves n 6. Galaxy clusters and lensing n 7. Cosmology without dark matter n 8. Conclusions 1/13/2005 Miami 2004 2 1. Introduction n Can gravity theory explain galaxy dynamics and cosmology without dominant dark matter? n We need a gravity theory that generalizes GR. Such a generalization is nonsymmetric gravitational theory (NGT). n A simpler theory is metric-skew-tensor gravity (MSTG). n There is also the problem of the nature of Dark Energy that explains the accelerating Universe. n The gravity theory must be stable and contain GR in a consistent way. It must yield agreement with solar system tests and the binary pulsar PSR 1913+16. n The cosmology without dominant dark matter must agree with the latest WMAP and CMB data. 1/13/2005 Miami 2004 3 2. Gravity theory n A popular phenomenological model that replaces dark matter is MOND (Milgrom, Beckenstein, Sanders-McGough). This phenomenology fits the flat rotation curves of galaxies, but has no acceptable relativistic gravity theory (see, however, Beckenstein 2004). n The MSTG theory can explain flat rotation curves of galaxies and cosmology without dominant dark matter. n We need to incorporate quantum gravity in a renormalization group (RG) flow framework with effective running coupling “constants” and an effective action. -
Sacred Rhetorical Invention in the String Theory Movement
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Communication Studies Theses, Dissertations, and Student Research Communication Studies, Department of Spring 4-12-2011 Secular Salvation: Sacred Rhetorical Invention in the String Theory Movement Brent Yergensen University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/commstuddiss Part of the Speech and Rhetorical Studies Commons Yergensen, Brent, "Secular Salvation: Sacred Rhetorical Invention in the String Theory Movement" (2011). Communication Studies Theses, Dissertations, and Student Research. 6. https://digitalcommons.unl.edu/commstuddiss/6 This Article is brought to you for free and open access by the Communication Studies, Department of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Communication Studies Theses, Dissertations, and Student Research by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. SECULAR SALVATION: SACRED RHETORICAL INVENTION IN THE STRING THEORY MOVEMENT by Brent Yergensen A DISSERTATION Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Doctor of Philosophy Major: Communication Studies Under the Supervision of Dr. Ronald Lee Lincoln, Nebraska April, 2011 ii SECULAR SALVATION: SACRED RHETORICAL INVENTION IN THE STRING THEORY MOVEMENT Brent Yergensen, Ph.D. University of Nebraska, 2011 Advisor: Ronald Lee String theory is argued by its proponents to be the Theory of Everything. It achieves this status in physics because it provides unification for contradictory laws of physics, namely quantum mechanics and general relativity. While based on advanced theoretical mathematics, its public discourse is growing in prevalence and its rhetorical power is leading to a scientific revolution, even among the public. -
Einstein Not Yet Displaced Controversial Theory of Varying Speed of Light Still Lacks a Solid Foundation
books and arts Einstein not yet displaced Controversial theory of varying speed of light still lacks a solid foundation. Faster Than the Speed of Light: The Story of a Scientific Speculation MILES COLE by João Magueijo William Heinemann/Perseus: 2003. 320 pp. £16.99/$26 George Ellis João Magueijo is one of many who hope to see the epitaph ‘Einstein was wrong, I was right’ on their gravestone. He is a cosmolo- gist who, one rainy morning in Cambridge, suddenly saw the possibility of a varying speed of light (VSL) as an alternative to the inflationary-theory paradigm that domi- nates present-day theoretical cosmology. He knew from the start that it represented a fundamental challenge to physics ortho- doxy (it violates the foundations of Einstein’s special theory of relativity) and would not easily be accepted, but he worked enthusi- astically to develop the idea. He found a collaborator who wavered but eventually completed a joint paper with him on the topic. This was rejected by major journals but was eventually accepted for publication read and referred to. Why, then, his major dis- Magueijo has not gone back to the founda- after a long battle. He then discovered that content? He has had no more difficulty than tions and sorted them out. Any theory of the idea had already been proposed, in a many others who have presented challenges this kind needs, first, a viable proposal slightly different form, by John Moffat. He to orthodoxy. All major new ideas have for measuring both time and distance, as found new collaborators and with them been resisted in their time: the expanding velocity is based on this; second, a physical developed variants of his theory. -
Voigt Transformations in Retrospect: Missed Opportunities?
Voigt transformations in retrospect: missed opportunities? Olga Chashchina Ecole´ Polytechnique, Palaiseau, France∗ Natalya Dudisheva Novosibirsk State University, 630 090, Novosibirsk, Russia† Zurab K. Silagadze Novosibirsk State University and Budker Institute of Nuclear Physics, 630 090, Novosibirsk, Russia.‡ The teaching of modern physics often uses the history of physics as a didactic tool. However, as in this process the history of physics is not something studied but used, there is a danger that the history itself will be distorted in, as Butterfield calls it, a “Whiggish” way, when the present becomes the measure of the past. It is not surprising that reading today a paper written more than a hundred years ago, we can extract much more of it than was actually thought or dreamed by the author himself. We demonstrate this Whiggish approach on the example of Woldemar Voigt’s 1887 paper. From the modern perspective, it may appear that this paper opens a way to both the special relativity and to its anisotropic Finslerian generalization which came into the focus only recently, in relation with the Cohen and Glashow’s very special relativity proposal. With a little imagination, one can connect Voigt’s paper to the notorious Einstein-Poincar´epri- ority dispute, which we believe is a Whiggish late time artifact. We use the related historical circumstances to give a broader view on special relativity, than it is usually anticipated. PACS numbers: 03.30.+p; 1.65.+g Keywords: Special relativity, Very special relativity, Voigt transformations, Einstein-Poincar´epriority dispute I. INTRODUCTION Sometimes Woldemar Voigt, a German physicist, is considered as “Relativity’s forgotten figure” [1]. -
Explaining Planet Formation and the Initial Mass Function of Stars with a Universe Composed of Mathematics Plus Re- Evaluation of the Mass-Gravity Relationship
EXPLAINING PLANET FORMATION AND THE INITIAL MASS FUNCTION OF STARS WITH A UNIVERSE COMPOSED OF MATHEMATICS PLUS RE- EVALUATION OF THE MASS-GRAVITY RELATIONSHIP By Rodney Bartlett (corresponding author), [email protected], vUniversity3A (Science and Technology), Stanthorpe, Qld. 4380, Australia Abstract - This preprint is a never-print. It can never be printed in a science journal because that approach has often been tried, only to see the submission's ideas repeatedly rejected as too speculative and non-mathematical. Professor John Wheeler used to say the early papers on quantum mechanics were regarded as highly speculative. Nevertheless, editors of the 1920s published them (today's editors would be too timid). Maybe the maths in it doesn't qualify as maths since it isn't complicated (Einstein used to say a theory that can't be explained to a 6-year-old isn't really understood by its author). Or maybe editors believe the only real maths is the squiggly lines of algebra. The distribution of stellar masses at the birth of stars is called the Initial Mass Function or IMF. Why does the IMF favour the production of low-mass stars? There is a clue in the report that most planetary systems seem to outweigh the protoplanetary disks (PPDs) in which they formed, leaving astronomers to re-evaluate planet-formation theories. (AstroNews 2019) Science must always be free to question everything: even the long- established idea that mass is the cause of gravity (by, according to General Relativity (Einstein 1915), warping and curving space-time). Exploration of the reverse, that gravity forms mass, sounds absurd to modern science. -
1. Introduction
Beichler (1) Preliminary paper for Vigier IX Conference June 2014 MODERN FYSICS PHALLACIES: THE BEST WAY NOT TO UNIFY PHYSICS JAMES E. BEICHLER Research Institute for Paraphysics, Retired P.O. Box 624, Belpre, Ohio 45714 USA [email protected] Too many physicists believe the ‘phallacy’ that the quantum is more fundamental than relativity without any valid supporting evidence, so the earliest attempts to unify physics based on the continuity of relativity have been all but abandoned. This belief is probably due to the wealth of pro-quantum propaganda and general ‘phallacies in fysics’ that were spread during the second quarter of the twentieth century, although serious ‘phallacies’ exist throughout physics on both sides of the debate. Yet both approaches are basically flawed because both relativity and the quantum theory are incomplete and grossly misunderstood as they now stand. Had either side of the quantum versus relativity controversy sought common ground between the two worldviews, total unification would have been accomplished long ago. The point is, literally, that the discrete quantum, continuous relativity, basic physical geometry, theoretical mathematics and classical physics all share one common characteristic that has never been fully explored or explained – a paradoxical duality between a dimensionless point (discrete) and an extended length (continuity) in any dimension – and if the problem of unification is approached from an understanding of how this paradox relates to each paradigm, all of physics and indeed all of science could be unified under a single new theoretical paradigm. Keywords: unification, single field theory, unified field theory, quantized space-time, five-dimensional space-time, quantum, relativity, hidden variables, Einstein, Kaluza, Klein, Clifford 1. -
“YOU MUST REMEMBER THIS” Abraham (“Abe”) Edel
MATERIAL FOR “YOU MUST REMEMBER THIS” Abraham (“Abe”) Edel (6 December 1908 – 22 June 2007) “Twenty-Seven Uses of Science in Ethics,” 7/2/67 Abraham Edel, In Memoriam, by Peter Hare and Guy Stroh Abraham Edel, 1908-2007 Abraham Edel was born in Pittsburgh, Pennsylvania on December 6, 1908. Raised in Yorkton, Canada with his older brother Leon who would become a biographer of Henry James, Edel studied Classics and Philosophy at McGill University, earning a BA in 1927 and an MA in 1928. He continued his education at Oxford where, as he recalled, “W.D. Ross and H.A. Prichard were lecturing in ethics, H.W.B. Joseph on Plato, and the influence of G. E. Moore and Bertrand Russell extended from Cambridge. Controversy on moral theory was high. The same was true of epistemology, where Prichard posed realistic epistemology against Harold Joachim who was defending Bradley and Bosanquet against the metaphysical realism of Cook Wilson.” He received a BA in Litterae Humaniores from Oxford in 1930. In that year he moved to New York City for doctoral studies at Columbia University, and in 1931 began teaching at City College, first as an assistant to Morris Raphael Cohen. F.J.E. Woodbridge directed his Columbia dissertation, Aristotle’s Theory of the Infinite (1934). This monograph and two subsequent books on Aristotle were influenced by Woodbridge’s interpretation of Aristotle as a philosophical naturalist. Although his dissertation concerned ancient Greek philosophy, he was much impressed by research in the social sciences at Columbia, and the teaching of Cohen at City College showed him how philosophical issues lay at the root of the disciplines of psychology, sociology, history, as well as the natural sciences. -
UTPT-Lt-15 1
The Status and Prospects of Quantum Non-local Field Theory N. J. Cornish Department of Physics University of Toronto Toronto, Ontario M5S 1A7, Canada & School of Physics University of Melbourne Parkville, Victoria 3052, Australia UTPT-lt-15 1 Abstract It is argued that non-locality is an essential ingredient in Relativistic Quantum Field Theory in order to have a finite theory without recourse to renormalisation and the problems that come with it. A critical review of the physical constraints on the form the non-locality can take is presented. The conclusion of this review is that non- locality must be restricted to interactions with the vacuum sea of virtual particles. A successful formulation of such a theory, QNFT, is applied to scalar electrodynamics and serves to illustrate how gauge invariance and manifest finiteness can be achieved. The importance of the infinite dimensional symmetry groups that occur in QNFT are discussed as an alternative to supersymmetry, the ability to generate masses by breaking the non-local symmetry with a non-invariant functional measure is given a critical assessment. To demonstrate some of the many novel applications QNFT may make possible three disparate examples are mooted, the existence of electroweak monopoles, an mechanism for CP violation and the formulation of a finite perturbative theory of Quantum Gravity. 2 1 Introduction There was once a time, not so very long ago, when a manifestly finite, unitary and gauge invariant Quantum field theory would have been accepted as the natural union of Relativity and Quantum mechanics. Unfortunately, the Quantum field theory born of that time gave infinite results for what should have been small Quantum correc tions. -
Non-Particle Proposals for Dark Matter
Non-particle Proposals for Dark Matter Will Bunting California Institute of Technology Ph 199 Seminar Presentations May 28, 2014 Overview 1 What is the dark matter problem? Experimental discrepencies Proposed solutions 2 Exotic Candidates Exotic particles Hidden sector particles Black hole remnants Modified gravity Geons 3 Conclusion Astrophysical evidence for dark matter • Galactic rotation curves • Gravitational lensing on cluster scales • Cosmic microwave background • Large scale structure formation (Vera Rubin's original Andromeda rotation curve) Astrophysical evidence for dark matter • Galactic rotation curves • Gravitational lensing on cluster scales • Cosmic microwave background • Large scale structure formation (Abell 2744 cluster lensing) Proposals Particle Dark Matter Non-particle Dark Matter • WIMP • Black hole remnant • Axion • Modified Gravity • Majorana fermion • Modified Newtonian Dynamics (MOND) • Tensor-vector-scalar gravity (TeVeS) • Sterile neutrino • Moffat gravity • Q-Ball • Topological Geons • Hidden sector particles Proposals Particle Dark Matter Non-particle Dark Matter • WIMP • Black Hole Remnant • Axion • Modified Gravity • Majorana fermion • Modified Newtonian Dynamics (MoND) • Tensor-vector-scalar gravity (TeVeS) • Sterile neutrino • Moffat gravity • Q-Ball • Topological Geons • Hidden sector particles Einstein Gravity • Our current best theory of gravity is General Relativity • Governed by an action principle for the gravitional field gµν 1 Z p Z p S = d4x R −g + d4xL −g (1) EH 8πG M • Varying the action gives the -
Inhomogeneous Cosmology, Inflation and Late-Time Accelerating Universe
Inhomogeneous Cosmology, Inflation and Late-Time Accelerating Universe J. W. Moffat The Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada and Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Abstract An exact inhomogeneous solution of Einstein’s field equations is shown to be able to inflate in a non-uniform way in the early universe and explain anomalies in the WMAP power spectrum data. It is also possible for the model to explain the accelerated expansion of the universe by late-time inho- mogeneous structure. e-mail: john.moff[email protected] 1 Introduction In the following, we shall investigate an exact inhomogeneous cosmological solu- tion of Einstein’s field equations obtained by Szekeres [1], for an irrotational dust dominated universe and subsequently generalized by Szafron [2] and Szafron and Wainright [3, 4] to the case when the pressure p is non–zero. The cosmological model contains the Friedmann-Lemaˆıtre-Robertson-Walker (FLRW) cosmology and arXiv:astro-ph/0606124v2 30 May 2007 the spherically symmetric Lemaˆıtre-Tolman-Bondi (LTB) model [5, 6, 7] as special solutions. The Szafron model describes a more general inhomogeneous spacetime with no prescribed initial symmetry [8]. We will show that the Szafron inhomogeneous cosmology in the early universe near the Planck time can lead to an inhomogeneous inflationary period, which can predict that the primordial power spectrum is not uniform across the sky. Recent investigations have revealed that there appears to be a lack of power in the CMB power spectrum above 600 and anisotropy in hot and cold spots on the sky [9, 10, 11, 12, 13]. -
The Subtleties of Light Alan Van Vliet
The Subtleties of Light Alan Van Vliet P.O. Box 1676, Pinehurst, NC 28370 [email protected] 910.673.6797 910.690.2333 Fax 910.673.8980 Abstract The foundations of modern physics are based upon a conditional constant, a paradox within itself. The “constancy” of the speed of light is valid only when considered in the context of a vacuum or empty space. I propose there is no “caveat” and consequently the speed of balanced, white light is absolute, always 300,000 km/sec. I further propose that the seven monochromatic components of light have absolute, but individual speeds, these speeds differing from the absolute speed of balanced, white light. Based upon these premises, I explore a different explanation for the geometrical “deflection” of light proposed by General Relativity. I consider the gravitational field as a refractive medium that optically disperses light. A viable solution for the “deflection” of light is considered as a result of the curved path created by these “divergent speeds of monochromatic light.” The consideration of this divergent relationship within the very nature of light raises significant questions about the curvature of space-time itself. As a result, this opens the field to the possibility of a non-geometric theory of gravity, one that may more closely align with the quantum theory. In conclusion, I examine the historical implications of Einstein’s quest, his never-ending search for the unification of electromagnetism and gravity, and his personal vision of unity that still guides us today. Introduction "We find the world strange, but what’s strange is us.