The Impact of World War I on Relativity: Part III, the Aftermath
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Vector and Tensor Analysis, 1950, Harry Lass, 0177610514, 9780177610516, Mcgraw- Hill, 1950
Vector and tensor analysis, 1950, Harry Lass, 0177610514, 9780177610516, McGraw- Hill, 1950 DOWNLOAD http://bit.ly/1CHWNWq http://www.powells.com/s?kw=Vector+and+tensor+analysis DOWNLOAD http://goo.gl/RBcy2 https://itunes.apple.com/us/book/Vector-and-tensor-analysis/id439454683 http://bit.ly/1lGfW8S Vector & Tensor Analysis , U.Chatterjee & N.Chatterjee, , , . Tensor Calculus A Concise Course, Barry Spain, 2003, Mathematics, 125 pages. A compact exposition of the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and. The Art of Modeling Dynamic Systems Forecasting for Chaos, Randomness and Determinism, Foster Morrison, Mar 7, 2012, Mathematics, 416 pages. This text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes. Partial differential equations in physics , Arnold Sommerfeld, Jan 1, 1949, Mathematics, 334 pages. Partial differential equations in physics. Tensor Calculus , John Lighton Synge, Alfred Schild, 1978, Mathematics, 324 pages. "This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the. Vector and tensor analysis , Harry Lass, 1950, Mathematics, 347 pages. Abstract Algebra and Solution by Radicals , John Edward Maxfield, Margaret W. Maxfield, 1971, Mathematics, 209 pages. Easily accessible undergraduate-level text covers groups, polynomials, Galois theory, radicals, much more. Features many examples, illustrations and commentaries as well as 13. Underwater Missile Propulsion A Selection of Authoritative Technical and Descriptive Papers, Leonard Greiner, 1968, Fleet ballistic missile weapons systems, 502 pages. -
Chronological List of Correspondence, 1895–1920
CHRONOLOGICAL LIST OF CORRESPONDENCE, 1895–1920 In this chronological list of correspondence, the volume and document numbers follow each name. Documents abstracted in the calendars are listed in the Alphabetical List of Texts in this volume. 1895 13 or 20 Mar To Mileva Maric;;, 1, 45 29 Apr To Rosa Winteler, 1, 46 Summer To Caesar Koch, 1, 6 18 May To Rosa Winteler, 1, 47 28 Jul To Julia Niggli, 1, 48 Aug To Rosa Winteler, 5: Vol. 1, 48a 1896 early Aug To Mileva Maric;;, 1, 50 6? Aug To Julia Niggli, 1, 51 21 Apr To Marie Winteler, with a 10? Aug To Mileva Maric;;, 1, 52 postscript by Pauline Einstein, after 10 Aug–before 10 Sep 1,18 From Mileva Maric;;, 1, 53 7 Sep To the Department of Education, 10 Sep To Mileva Maric;;, 1, 54 Canton of Aargau, 1, 20 11 Sep To Julia Niggli, 1, 55 4–25 Nov From Marie Winteler, 1, 29 11 Sep To Pauline Winteler, 1, 56 30 Nov From Marie Winteler, 1, 30 28? Sep To Mileva Maric;;, 1, 57 10 Oct To Mileva Maric;;, 1, 58 1897 19 Oct To the Swiss Federal Council, 1, 60 May? To Pauline Winteler, 1, 34 1900 21 May To Pauline Winteler, 5: Vol. 1, 34a 7 Jun To Pauline Winteler, 1, 35 ? From Mileva Maric;;, 1, 61 after 20 Oct From Mileva Maric;;, 1, 36 28 Feb To the Swiss Department of Foreign Affairs, 1, 62 1898 26 Jun To the Zurich City Council, 1, 65 29? Jul To Mileva Maric;;, 1, 68 ? To Maja Einstein, 1, 38 1 Aug To Mileva Maric;;, 1, 69 2 Jan To Mileva Maric;; [envelope only], 1 6 Aug To Mileva Maric;;, 1, 70 13 Jan To Maja Einstein, 8: Vol. -
A Contextual Analysis of the Early Work of Andrzej Trautman and Ivor
A contextual analysis of the early work of Andrzej Trautman and Ivor Robinson on equations of motion and gravitational radiation Donald Salisbury1,2 1Austin College, 900 North Grand Ave, Sherman, Texas 75090, USA 2Max Planck Institute for the History of Science, Boltzmannstrasse 22, 14195 Berlin, Germany October 10, 2019 Abstract In a series of papers published in the course of his dissertation work in the mid 1950’s, Andrzej Trautman drew upon the slow motion approximation developed by his advisor Infeld, the general covariance based strong conservation laws enunciated by Bergmann and Goldberg, the Riemann tensor attributes explored by Goldberg and related geodesic deviation exploited by Pirani, the permissible metric discontinuities identified by Lich- nerowicz, O’Brien and Synge, and finally Petrov’s classification of vacuum spacetimes. With several significant additions he produced a comprehensive overview of the state of research in equations of motion and gravitational waves that was presented in a widely cited series of lectures at King’s College, London, in 1958. Fundamental new contribu- tions were the formulation of boundary conditions representing outgoing gravitational radiation the deduction of its Petrov type, a covariant expression for null wave fronts, and a derivation of the correct mass loss formula due to radiation emission. Ivor Robin- son had already in 1956 developed a bi-vector based technique that had resulted in his rediscovery of exact plane gravitational wave solutions of Einstein’s equations. He was the first to characterize shear-free null geodesic congruences. He and Trautman met in London in 1958, and there resulted a long-term collaboration whose initial fruits were the Robinson-Trautman metric, examples of which were exact spherical gravitational waves. -
Hilberts Ruf Nach Bern
Gesnerus 57 (2000) 182-205 Hilberts Ruf nach Bern Tilman Sauer* Summary Attempts to find a successor for the late Berne professor of mathematics Johann Heinrich Graf in winter and spring 1919 proved fruitless when, unexpectedly, the renowned Göttingen mathematician David Hilbert intimated that he himself would, under certain conditions, accept a call to Berne. Subsequent negotiations between Hilbert and the Bernese and Prussian authorities mainly concerned the question of salary, with offers of unusually high compensation both in Berne and in Göttingen. Although Hilbert eventually declined for financial reasons, it is argued that his consi- derations may well have been rather complex and reflect both his own situation in Göttingen and the general state of affairs of university mathe- matics in Germany and Switzerland after the First World War. Zusammenfassung Nach erfolglosen Versuchen im Winter und Frühjahr 1919, einen Nachfolger für den verstorbenen Berner Ordinarius für Mathematik Johann Heinrich Graf zu finden, liess unerwarteterweise der bekannte Göttinger Mathema- tiker David Hilbert durchblicken, dass er selbst unter bestimmten Bedin- gungen bereit wäre, einen Ruf nach Bern anzunehmen. Obwohl es in den nachfolgenden Verhandlungen Hilberts mit den Berner und Preussischen Unterrichtsbehörden vornehmlich um Gehaltsfragen ging und Hilbert nach ungewöhnlich grosszügigen Angeboten aus Bern und Berlin den Berner Ruf schliesslich ablehnte, mögen Hilberts Überlegungen dennoch komplex * Ich danke Robert Casties, Hans-Joachim Dahms, Gerd Grasshoff, Andrea Loettgers, Karin Nickelsen, Franziska Roggcr und Klaus Sommer für Anregungen, Hinweise und Kommentare. Tilman Sauer. Universität Bern, Institut für Exakte Wissenschaften, Sidlerstr. 5, CH-3012 Bern ([email protected]). 182 Downloaded from Brill.com10/11/2021 06:36:08AM via free access gewesen sein. -
Einstein's Controversy with Drude and the Origin of Statistical Mechanics
EINSTEIN’S CONTROVERSY WITH DRUDE AND THE ORIGIN OF STATISTICAL MECHANICS: A NEW GLIMPSE FROM THE “LOVE LETTERS“ Jürgen Renn 1. Introduction: Statistical Mechanics as a Conduit from Classical to Modern Physics In this paper I argue that statistical mechanics, at least in the version published by Einstein in 1902,1 was the result of a reinterpretation of already existing results by Boltzmann. I will show that, for this reinterpretation, a certain perspective on these results was decisive which was shaped by Einstein’s occupation with specific problems of the constitution of matter and radi- ation, as well as with atomism as a general foundation of physics. Using newly available evi- dence, I will identify the electron theory of metals as the key problem triggering the elaboration of statistical mechanics. In this way, a conjecture by the Ehrenfests on the role of electron the- ory for a renewal of statistical physics, as well as a hypothesis by the editors of volume 2 of Einstein’s Collected Papers concerning its role for Einstein’s work, receive an unexpected con- firmation. In addition, I will argue that a controversy between Einstein and Drude in 1901 was, in effect, not so much a dispute about the latter’s electron theory of metals, as has been assumed so far, but a controversy in which Einstein’s real opponent was, at least in part, Boltzmann and whose issue was the foundation of an atomistic theory of matter. It was this controversy which became the starting point of Einstein’s elaboration of his approach to statistical mechanics. -
Relativistic Astrophysics: the View from Texas in Baltimore (Review)
btropliysica/ Letters, 1981, Vol. 22, pp. 21-30 C> 1981 Gordon and Breach, Science Publishers, Inc. 0004-6388/81/2201-002 I $06.5010 Printed in the United States of America Relativistic Astrophysics: The View from Texas in Baltimore (Review) V. L. TRIMBLE Department of Physics, University of'Ca/ifornia. Irvine CA 92717 and Astronomy Program, University of Maryland College Park MD 20742 S. P. MARAN Laborarory for Astronomy and Solar Physics. NASA Goddard Space Flight Center, Greenbelt MD 20771 (Received July 7, 1981) · INTRODUCTION quantum theory and cannot be turned into one. It 0 is not renormalizable. That is, many seemingly The phrase relativistic astrophysics" was in sensible calculations yield infinite answers, and vented by Ivor Robinson, the late Alfred Schild, there is no coherent prescription for subtracting and Englebert Schucking on July 4th, 1963, as the infinite part to leave a finite, correct answer, part of the title of a symposium they were then in the way that quantum electrodynamics deals organizing at Dallas ("Conference on Gravita with the infinities of electromagnetism. tional Collapse and Other Topics in Relativistic 0 Even at the classical level, there may be linger Astrophysics ). The glory of the name, according ing doubts: Thomas Van Flandern (U.S. Naval to Robinson (who claims to have been out of the Observatory) finds, primarily from precise timings room at the crucial moment), was that no one of lunar occultations, that the constant of gravity knew what it meant, so they could have anything is decreasing by 3 parts in 10 11 per year, which is they wanted at the conference. -
Biographies of Albert Einstein – Mastermind of Theoretical Physics
Biographies of Albert Einstein – Mastermind of Theoretical Physics Galina Weinstein Over the years many have written biographies of Einstein. They all based their biographies on primary sources, archival material: memories and letters of people who were in contact with Einstein, Einstein's own recollections; interviews that Einstein had given over the years, and letters of Einstein to his friends – youth friends like Marcel Grossman and Michele Besso and later friends and colleagues like Heinrich Zangger; and especially his love letters with Mileva Marić. One can demarcate between two types of biographies, namely, Documentary biographies, and, Non-documentary biographies. Non- documentary biographies were written by people who based themselves on documentary biographies and on other non-documentary biographies. Documentary biographies were written by people who knew Einstein personally, and received information from him and from other people who were in personal contact with him. This type can be further divided into two subgroups: books that were written while Einstein was still alive, and books that were written after his death. Among the first group there were some biographies that Einstein considered to be more reliable, others he thought were less reliable, and still other biographies which he considered to be almost pure imagination. I will demonstrate that relying on primary sources and "documentary" does not necessarily mean "reliable". Einstein wrote on February 22, 1949 to the writer Max Brod, "There have already been published by the bucketful such brazen lies and utter fictions about me that I would long since have gone to my grave if I had let myself pay attention to them".1 I will first give two examples of non-documentary biographies, and then address the question of reliability of documentary sources.2 1. -
Curriculum Vitae Charles W
Curriculum Vitae Charles W. Misner University of Maryland, College Park Education B.S., 1952, University of Notre Dame M.A., 1954, Princeton University Ph.D., 1957, Princeton University University Positions 1956{59 Instructor, Physics Department, Princeton University 1959{63 Assistant Professor, Physics, Princeton University 1963{66 Associate Professor, Department of Physics and Astronomy, University of Maryland 1966{2000 Professor, Physics, University of Maryland, College Park 1995{99 Assoc. Chair, Physics, University of Maryland 2000{ Professor Emeritus and Senior Research Scientist, Physics, University of Maryland Visitor 2005 (April, May) MPG-Alfred Einstein Institute, Postdam, Germany 2002 (January{March) MPG-Alfred Einstein Institute, Postdam, Germany 2000{01 (November{April) MPG-Alfred Einstein Institute, Postdam, Germany 2000 (January) Institute for Theoretical Physics, U. Cal. Santa Barbara 1983 (January) Cracow, Poland: Ponti¯cal Academy of Cracow 1980{81 Institute for Theoretical Physics, U. Cal. Santa Barbara 1977 (May) Center for Astrophysics, Cambridge, Mass. 1976 (June) D.A.M.T.P. and Caius College, Cambridge, U.K. 1973 (spring term) All Souls College, Oxford 1972 (fall term) California Institute of Technology 1971 (June) Inst. of Physical Problems, Academy of Sciences, USSR, Moscow 1969 (fall term) Visiting Professor, Princeton University 1976 (summer) Niels Bohr Institute, Copenhagen, Denmark 1966{67 Department of Applied Mathematics and Theoretical Physics, Cambridge University, England 1 1960 (spring term) Department of Physics, Brandeis University, Waltham, Massachusetts 1959 (spring and summer) Institute for Theoretical Physics, Copenhagen 1956 (spring and summer) Institute for Theoretical Physics, Leiden, the Netherlands Honors and Awards Elected Fellow of the American Academy of Arts & Sciences, May 2000 Dannie Heineman Prize for Mathematical Physics (Am. -
Ivor Robinson: a Brief Appreciation of His Science by Roger Penrose May 2017
Ivor Robinson: a Brief Appreciation of His Science By Roger Penrose May 2017 Ivor Robinson had an important influence on my research into mathematical physics. I believe that it was through Dennis Sciama that I first met him, sometime in the 1950s. Ivor always spoke about his ideas with impressive gestures, distinctive prose, and infectious enthusiasm. He had a remarkable original talent for words, and this was his way of conveying his impressive research ideas to the world outside. When he could find an appropriate colleague to write it all up, this would usually result in an important joint publication. I never had the privilege of collaborating with Ivor in this way, but I benefited greatly, in particular, from his famous 1962 paper with Andrzej Trautman. This had a considerable importance for me with regard to my understandings of asymptotically flat space-times, and how to describe such asymptotic flatness in a clear geometrical way. Even more influential for me was his seminal role in my development of the theory of twistors. This came from Ivor’s ingenious procedure for the construction of what are called twisting null solutions of Maxwell’s equations. He had found a way, starting from non-twisting such solutions, to obtain twisting ones, by displacing them in an imaginary direction, and then taking the real part. (The experts will know what I mean here!) The simplest case of this provided what I referred to as a “Robinson congruence”, and it yielded the key insight, for me, enabling the launching of the theory of twistors in 1967. -
Editorial Note To: J. Ehlers, F. A. E. Pirani and A. Schild, the Geometry of Free Fall and Light Propagation
Editorial note to: J. Ehlers, F. A. E. Pirani and A. Schild, The geometry of free fall and light propagation Andrzej Trautman General Relativity and Gravitation ISSN 0001-7701 Volume 44 Number 6 Gen Relativ Gravit (2012) 44:1581-1586 DOI 10.1007/s10714-012-1352-5 1 23 Your article is published under the Creative Commons Attribution license which allows users to read, copy, distribute and make derivative works, as long as the author of the original work is cited. You may self- archive this article on your own website, an institutional repository or funder’s repository and make it publicly available immediately. 1 23 Gen Relativ Gravit (2012) 44:1581–1586 DOI 10.1007/s10714-012-1352-5 GOLDEN OLDIE EDITORIAL Editorial note to: J. Ehlers, F. A. E. Pirani and A. Schild, The geometry of free fall and light propagation Andrzej Trautman Published online: 31 March 2012 © The Author(s) 2012. This article is published with open access at Springerlink.com Keywords Lorentzian geometry · Conformal structures · Projective structures · Free fall · Light propagation · Golden Oldie The article by Jürgen Ehlers, Felix Pirani, and Alfred Schild (EPS), reprinted here as a Golden Oldie, is devoted to the problem of deriving the Lorentzian geometry that underlies the space-time of general relativity from compatible conformal and projective structures on a four dimensional manifold. The geometry is based on a set of axioms; the proofs, even if not complete, are presented in a form appealing to physicists; they are well illustrated by carefully drawn figures. This article has been influenced—perhaps even inspired—by the early papers by Hermann Weyl on the foundations of differential geometry and their relation to physics. -
Explanation, Geometry, and Conspiracy in Relativity Theory
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by PhilSci Archive Explanation, geometry, and conspiracy in relativity theory James Read∗ Abstract I discuss the debate between dynamical versus geometrical ap- proaches to spacetime theories, in the context of both special and general relativity, arguing that (a) the debate takes a substantially different form in the two cases; (b) different versions of the geometri- cal approach|only some of which are viable|should be distinguished; (c) in general relativity, there is no difference between the most viable version of the geometrical approach and the dynamical approach. In addition, I demonstrate that what have previously been dubbed two `miracles' of general relativity admit of no resolution from within gen- eral relativity, on either the dynamical or `qualified’ geometrical ap- proaches, modulo some possible hints that the second `miracle' may be resolved by appeal to recent results regarding the `geodesic principle' in GR. ∗[email protected] 1 Contents 1 Introduction 3 2 Background 5 2.1 Spacetime theories . 5 2.2 Symmetries . 6 2.3 Special and general relativity . 7 2.3.1 Special relativity . 7 2.3.2 General relativity . 8 3 The dynamical/geometrical debate 11 3.1 Special relativity . 12 3.1.1 The geometrical approach . 12 3.1.2 The dynamical approach . 13 3.2 General relativity . 13 3.2.1 The geometrical approach . 14 3.2.2 The dynamical approach . 14 4 Qualified and unqualified explanations 15 5 The geometrical approach 16 5.1 Two geometrical approaches . -
The Physical Tourist Peripatetic Highlights in Bern
05a_Hentschel 232 2.3.2005 14:51 Uhr Seite 107 Phys. perspect. 7 (2005) 107–129 1422-6944/05/010107–23 DOI 10.1007/s00016-004-0232-0 The Physical Tourist Peripatetic Highlights in Bern Ann M. Hentschel* This tour of significant scientific sites in Bern uses the local legacy of its most illustrious scientists, Albert Einstein (1879–1955) and Fritz Houtermans (1903–1966), as its guiding thread through the old town and the university district. Key words: Albert Einstein; Fritz Houtermans; Aimé Forster; Paul Gruner; Heinrich Greinacher; University of Bern; Naturforschende Gesellschaft in Bern; Swiss science; meteorology; metrology; relativity theory. Inroduction The capital city of the Swiss Canton of Bern and of the Swiss Confederation is nestled in a narrow loop of the Aare river, at the foot of the Alps. The old town, founded around 1191, is well preserved despite a devastating fire in 1405.** Major industries of the region developed under the constraints of modest domestic markets, high trans- portation costs, and protectionist legislation across national borders. Switzerland thus found its niche in higher-end markets, such as chocolate making, engine building, instruments, fine textiles, and chemicals or pharmaceuticals. My tour past historically | downloaded: 7.10.2021 significant scientific sites in Bern will use the local legacy of its most illustrious resi- dents,Albert Einstein (1879–1955), who lived there from 1902–1909, and Fritz Houter- mans (1903–1966), who lived there from 1952–1966, as its guiding thread through the old town and the university district. Place names in italics mark stops along the tour. * Ann M.Hentschel is translator of the correspondence volumes of The Collected Papers of Albert Einstein and is currently employed by the Institute for the History and Philosophy of Science at the University of Bern to write the guide for a city tour of Einstein’s old haunts in Bern for the coming jubilee of special relativity in 2005.