Einstein, Nordström and the Early Demise of Scalar, Lorentz Covariant Theories of Gravitation
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Generalization of Lorentz-Poincare Ether Theory to Quantum Gravity
Abstract We present a quantum theory of gravity which is in agreement with observation in the relativistic domain. The theory is not rel- ativistic, but a Galilean invariant generalization of Lorentz-Poincare ether theory to quantum gravity. If we apply the methodological rule that the best available theory has to be preferred, we have to reject the relativistic paradigm and return to Galilean invariant ether theory. arXiv:gr-qc/9706055v1 18 Jun 1997 1 Generalization Of Lorentz-Poincare Ether Theory To Quantum Gravity Ilja Schmelzer∗ September 12, 2021 ... die bloße Berufung auf k¨unftig zu entdeckende Ableitungen bedeutet uns nichts. Karl Popper In quantum gravity, as we shall see, the space-time manifold ceases to exist as an objective physical reality; geometry becomes relational and contextual; and the foundational conceptual categories of prior science – among them, existence itself – become problematized and relativized. Alan Sokal Contents 1 The Problem Of Quantum Gravity 3 2 Introduction 4 3 Generalization Of Lorentz-Poincare Ether Theory To Gra- vity 6 3.1 Elementary Properties Of Post-Relativistic Gravity . 8 3.2 TheCosmologicalConstants . 9 3.2.1 The Observation Of The Cosmological Constants . 9 3.2.2 The Necessity Of Cosmological Constants . 10 3.3 TheGlobalUniverse ....................... 11 3.4 Gravitational Collapse . 12 ∗WIAS Berlin 2 3.5 A Post-Relativistic Lattice Theory . 13 3.6 BetterAtomicEtherTheories . 15 4 Canonical Quantization 16 5 Discussion 17 5.1 Conclusion............................. 18 1 The Problem Of Quantum Gravity We believe that there exists a unique physical theory which allows to describe the entire universe. That means, there exists a theory — quantum gravity — which allows to describe quantum effects as well as relativistic effects of strong gravitational fields. -
On the Status of the Geodesic Principle in Newtonian and Relativistic Physics1
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by PhilSci Archive On the Status of the Geodesic Principle in Newtonian and Relativistic Physics1 James Owen Weatherall2 Logic and Philosophy of Science University of California, Irvine Abstract A theorem due to Bob Geroch and Pong Soo Jang [\Motion of a Body in General Relativ- ity." Journal of Mathematical Physics 16(1), (1975)] provides a sense in which the geodesic principle has the status of a theorem in General Relativity (GR). I have recently shown that a similar theorem holds in the context of geometrized Newtonian gravitation (Newton- Cartan theory) [Weatherall, J. O. \The Motion of a Body in Newtonian Theories." Journal of Mathematical Physics 52(3), (2011)]. Here I compare the interpretations of these two the- orems. I argue that despite some apparent differences between the theorems, the status of the geodesic principle in geometrized Newtonian gravitation is, mutatis mutandis, strikingly similar to the relativistic case. 1 Introduction The geodesic principle is the central principle of General Relativity (GR) that describes the inertial motion of test particles. It states that free massive test point particles traverse timelike geodesics. There is a long-standing view, originally due to Einstein, that the geodesic principle has a special status in GR that arises because it can be understood as a theorem, rather than a postulate, of the theory. (It turns out that capturing the geodesic principle as a theorem in GR is non-trivial, but a result due to Bob Geroch and Pong Soo Jang (1975) 1Thank you to David Malament and Jeff Barrett for helpful comments on a previous version of this paper and for many stimulating conversations on this topic. -
Interaction Energy of a Charged Medium and Its EM Field in a Curved Spacetime Mayeul Arminjon
Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime Mayeul Arminjon To cite this version: Mayeul Arminjon. Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime. Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Jun 2018, Varna, Bulgaria. pp.88-98. hal-01881100 HAL Id: hal-01881100 https://hal.archives-ouvertes.fr/hal-01881100 Submitted on 25 Sep 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime Mayeul Arminjon Univ. Grenoble Alpes, CNRS, Grenoble INP, 3SR lab., F-38000 Grenoble, France Abstract In the electrodynamics of special relativity (SR) or general relativ- ity (GR), the energy tensors of the charged medium and its EM field add to give the total energy tensor that obeys the dynamical equation without external force. In the investigated scalar theory of gravitation (\SET"), this assumption leads to charge non-conservation, hence an additional, \interaction" energy tensor T inter has to be postulated. The present work aims at constraining this tensor. -
Einstein's Washington Manuscript on Unified Field Theory
Einstein’s Washington Manuscript on Unified Field Theory Tilman Sauer∗ and Tobias Schütz† Institute of Mathematics Johannes Gutenberg University Mainz D-55099 Mainz, Germany Version of August 25, 2020 Abstract In this note, we point attention to and briefly discuss a curious manu- script of Einstein, composed in 1938 and entitled “Unified Field Theory,” the only such writing, published or unpublished, carrying this title without any further specification. Apparently never intended for publication, the manuscript sheds light both on Einstein’s modus operandi as well as on the public role of Einstein’s later work on a unified field theory of gravitation and electromagnetism. arXiv:2008.10005v1 [physics.hist-ph] 23 Aug 2020 ∗[email protected] †[email protected] 1 1 The “Washington manuscript” In July 1938, the Princeton based journal Annals of Mathematics published a paper On a Generalization of Kaluza’s Theory of Electricity in its Vol. 39, issue No. 3 (Einstein and Bergmann, 1938). The paper was co-authored by Albert Einstein (1879–1955) and his then assistant Peter Gabriel Bergmann (1915– 2002). It presented a new discussion of an approach toward a unified theory of the gravitational and electromagnetic fields based on an extension of the number of physical dimensions characterizing space-time. Such five-dimensional theories had been discussed already a number of times, notably by Theodor Kaluza in 1921, and then again in the late twenties by Oskar Klein and others (Goenner, 2004). Einstein had contributed to the discussion already in 1923 and in 1927, but had given up the approach in favor of another one based on distant parallelism (Sauer, 2014). -
Einstein's Equations for Spin $2 $ Mass $0 $ from Noether's Converse
Einstein’s Equations for Spin 2 Mass 0 from Noether’s Converse Hilbertian Assertion November 9, 2016 J. Brian Pitts Faculty of Philosophy, University of Cambridge [email protected] forthcoming in Studies in History and Philosophy of Modern Physics Abstract An overlap between the general relativist and particle physicist views of Einstein gravity is uncovered. Noether’s 1918 paper developed Hilbert’s and Klein’s reflections on the conservation laws. Energy-momentum is just a term proportional to the field equations and a “curl” term with identically zero divergence. Noether proved a converse “Hilbertian assertion”: such “improper” conservation laws imply a generally covariant action. Later and independently, particle physicists derived the nonlinear Einstein equations as- suming the absence of negative-energy degrees of freedom (“ghosts”) for stability, along with universal coupling: all energy-momentum including gravity’s serves as a source for gravity. Those assumptions (all but) imply (for 0 graviton mass) that the energy-momentum is only a term proportional to the field equations and a symmetric curl, which implies the coalescence of the flat background geometry and the gravitational potential into an effective curved geometry. The flat metric, though useful in Rosenfeld’s stress-energy definition, disappears from the field equations. Thus the particle physics derivation uses a reinvented Noetherian converse Hilbertian assertion in Rosenfeld-tinged form. The Rosenfeld stress-energy is identically the canonical stress-energy plus a Belinfante curl and terms proportional to the field equations, so the flat metric is only a convenient mathematical trick without ontological commitment. Neither generalized relativity of motion, nor the identity of gravity and inertia, nor substantive general covariance is assumed. -
The Scientific Content of the Letters Is Remarkably Rich, Touching on The
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Reviews / Historia Mathematica 33 (2006) 491–508 497 The scientific content of the letters is remarkably rich, touching on the difference between Borel and Lebesgue measures, Baire’s classes of functions, the Borel–Lebesgue lemma, the Weierstrass approximation theorem, set theory and the axiom of choice, extensions of the Cauchy–Goursat theorem for complex functions, de Geöcze’s work on surface area, the Stieltjes integral, invariance of dimension, the Dirichlet problem, and Borel’s integration theory. The correspondence also discusses at length the genesis of Lebesgue’s volumes Leçons sur l’intégration et la recherche des fonctions primitives (1904) and Leçons sur les séries trigonométriques (1906), published in Borel’s Collection de monographies sur la théorie des fonctions. Choquet’s preface is a gem describing Lebesgue’s personality, research style, mistakes, creativity, and priority quarrel with Borel. This invaluable addition to Bru and Dugac’s original publication mitigates the regrets of not finding, in the present book, all 232 letters included in the original edition, and all the annotations (some of which have been shortened). The book contains few illustrations, some of which are surprising: the front and second page of a catalog of the editor Gauthier–Villars (pp. 53–54), and the front and second page of Marie Curie’s Ph.D. thesis (pp. 113–114)! Other images, including photographic portraits of Lebesgue and Borel, facsimiles of Lebesgue’s letters, and various important academic buildings in Paris, are more appropriate. -
Abraham-Solution to Schwarzschild Metric Implies That CERN Miniblack Holes Pose a Planetary Risk
Abraham-Solution to Schwarzschild Metric Implies That CERN Miniblack Holes Pose a Planetary Risk O.E. Rössler Division of Theoretical Chemistry, University of Tübingen, 72076 F.R.G. Abstract A recent mathematical re-interpretation of the Schwarzschild solution to the Einstein equations implies global constancy of the speed of light c in fulfilment of a 1912 proposal of Max Abraham. As a consequence, the horizon lies at the end of an infinitely long funnel in spacetime. Hence black holes lack evaporation and charge. Both features affect the behavior of miniblack holes as are expected to be produced soon at the Large Hadron Collider at CERN. The implied nonlinearity enables the “quasar-scaling conjecture.“ The latter implies that an earthbound minihole turns into a planet-eating attractor much earlier than previously calculated – not after millions of years of linear growth but after months of nonlinear growth. A way to turn the almost disaster into a planetary bonus is suggested. (September 27, 2007) “Mont blanc and black holes: a winter fairy-tale.“ What is being referred to is the greatest and most expensive and potentially most important experiment of history: to create miniblack holes [1]. The hoped-for miniholes are only 10–32 cm large – as small compared to an atom (10–8 cm) as the latter is to the whole solar system (1016 cm) – and are expected to “evaporate“ within less than a picosecond while leaving behind a much hoped-for “signature“ of secondary particles [1]. The first (and then one per second and a million per year) miniblack hole is expected to be produced in 2008 at the Large Hadron Collider of CERN near Geneva on the lake not far from the white mountain. -
“Geodesic Principle” in General Relativity∗
A Remark About the “Geodesic Principle” in General Relativity∗ Version 3.0 David B. Malament Department of Logic and Philosophy of Science 3151 Social Science Plaza University of California, Irvine Irvine, CA 92697-5100 [email protected] 1 Introduction General relativity incorporates a number of basic principles that correlate space- time structure with physical objects and processes. Among them is the Geodesic Principle: Free massive point particles traverse timelike geodesics. One can think of it as a relativistic version of Newton’s first law of motion. It is often claimed that the geodesic principle can be recovered as a theorem in general relativity. Indeed, it is claimed that it is a consequence of Einstein’s ∗I am grateful to Robert Geroch for giving me the basic idea for the counterexample (proposition 3.2) that is the principal point of interest in this note. Thanks also to Harvey Brown, Erik Curiel, John Earman, David Garfinkle, John Manchak, Wayne Myrvold, John Norton, and Jim Weatherall for comments on an earlier draft. 1 ab equation (or of the conservation principle ∇aT = 0 that is, itself, a conse- quence of that equation). These claims are certainly correct, but it may be worth drawing attention to one small qualification. Though the geodesic prin- ciple can be recovered as theorem in general relativity, it is not a consequence of Einstein’s equation (or the conservation principle) alone. Other assumptions are needed to drive the theorems in question. One needs to put more in if one is to get the geodesic principle out. My goal in this short note is to make this claim precise (i.e., that other assumptions are needed). -
In Defence of Classical Physics Abstract Classical Physics Seeks To
In defence of classical physics Abstract Classical physics seeks to find the laws of nature. I am of the opinion that classical Newtonian physics is “real” physics. This is in the sense that it relates to mechanical physics. I suggest that if physics is ever to succeed in determining a theory of everything it needs to introduce a more satisfactory invariant medium in order to do this. This is describing the laws of nature and retain the elementary foundational conditions of universal symmetry. [email protected] Quote: “Classical physics describes an inertial frame of reference within which bodies (objects) whose net force acting upon them is zero. These objects are not accelerated. They are either at rest or they move at a constant velocity in a straight line” [1] This means that classical physics is a model that describes time and space homogeneously. Classical physics seeks to find the laws of nature. Experiments and testing have traditionally found it difficult to isolate the conditions, influences and effects to achieve this objective. If scientists could do this they would discover the laws of nature and be able to describe these laws. Today I will discuss the relationship between classical Newtonian physics and Einstein’s Special Relativity model. I will share ideas as to why some scientists suggests there may be shortcomings in Einstein’s Special Relativity theory that might be able to successfully addressed, using my interpretation of both of these theories. The properties of the laws of nature are the most important invariants [2] of the universe and universal reality. -
Dersica NOTAS DE FÍSICA É Uma Pré-Publicaçso De Trabalhos Em Física Do CBPF
CBPF deRsica NOTAS DE FÍSICA é uma pré-publicaçSo de trabalhos em Física do CBPF NOTAS DE FÍSICA is a series of preprints from CBPF Pedidos de copies desta publicação devem ser enviados aos autores ou à: Requests for free copies of these reports should be addressed to: Drvbèo de Publicações do CBPF-CNPq Av. Wenceslau Braz, 71 - Fundos 22.290 - Rio de Janeiro - RJ. Brasil CBPF-NF-38/82 ON EXPERIMENTS TO DETECT POSSIBLE FAILURES OF RELATIVITY THEORY by U. A. Rodrigues1 and J. Tioano Ctntro BratiitirO dê Ptsquisas Físicas - CBPF/CNPq Rua XavUr Sigaud, ISO 22290 - Rfo dt Jantiro, RJ. - BRASIL * Instituto dt MatMitica IMECC - ONICAMP Caixa Postal 61SS 13100 - Canpinas, SP. - BRASIL ABSTRACT: condition* under which 41 may expect failure of Einstein's Relativity, ^^also give a comple te analysis of a recently proposed experiment by Kolen— Torr showing that it must give a negative result, ta 1. INTRODUCTION A number of experiments have been proposed or reported which supposedly would detect the motion of the laboratory relative to a preferential frame SQ (the ether), thus provinding an experi- mental distinction between the so called "Lorentz" Ether Theory and Einstein Theory of Relativity. Much of the confusion on the subject, as correctly identified (2) by Tyapkin . (where references until 1973 can be found) is pos- 3 nesiblw possibility due to Miller*y to tes* twh expexrifipentallo 4# 1957 startey relativityd a discussio. nH eo f asuggeste seeminglyd comparing the Doppler shift of two-maser beams whose atoms move in opposite directions. His calculation of the Doppler shift on the basis of pre-relativistic physics/ gave rise to the appearance of a term linearly dependent upon the velocity v of the labora- tory sytem moving with respect to the ether. -
The Controversy on the Conceptual Foundation of Space-Time Geometry
한국수학사학회지 제22권 제3호(2009년 8월), 273 - 292 The Controversy on the Conceptual Foundation of Space-Time Geometry Yonsei University Yang, Kyoung-Eun [email protected] According to historical commentators such as Newton and Einstein, bodily behaviors are causally explained by the geometrical structure of space-time whose existence analogous to that of material substance. This essay challenges this conventional wisdom of interpreting space-time geometry within both Newtonian and Einsteinian physics. By tracing recent historical studies on the interpretation of space-time geometry, I defends that space-time structure is a by-product of a more fundamental fact, the laws of motion. From this perspective, I will argue that the causal properties of space-time cannot provide an adequate account of the theory-change from Newtoninan to Einsteinian physics. key words: Space-Time Geometry, Substantivalism, Curved Space-Time, The Theory-Change from Newtonian Physics to Einsteinian Physics 1. Introduction The theory-change from Newtonian to Einsteinian physics is viewed by philosophers of science, historians and even physicists as an eloquent example of scientific revolution. According to the physicist Max Born, it signifies the ‘Einsteinian revolution,’ (Born 1965, 2) while the philosopher Karl Popper is of the view that Einstein ‘revolutionised physics.’ (Withrow 1967, 25) Thomas Kuhn, on his part, holds in his Structure of Scientific Revolutions, that the theory-change from Newtonian to Einsteinian physics provides a strong case for the occurrence of a revolution with obvious ‘paradigm changes.’ (Kuhn 1962): One [set of scientists] is embedded in a flat, the other in a curved, matrix of space. Practicing in different worlds, the two groups of - 273 - The Controversy on the Conceptual Foundation of Space-Time Geometry scientists see different things when they look from the same point in the same direction. -
Essays on Einstein's Science And
MAX-PLANCK-INSTITUT FÜR WISSENSCHAFTSGESCHICHTE Max Planck Institute for the History of Science PREPRINT 63 (1997) Giuseppe Castagnetti, Hubert Goenner, Jürgen Renn, Tilman Sauer, and Britta Scheideler Foundation in Disarray: Essays on Einstein’s Science and Politics in the Berlin Years ISSN 0948-9444 PREFACE This collection of essays is based on a series of talks given at the Boston Colloquium for Philosophy of Science, March 3 – 4, 1997, under the title “Einstein in Berlin: The First Ten Years.“ The meeting was organized by the Center for Philosophy and History of Science at Boston University and the Collected Papers of Albert Einstein, and co-sponsored by the Max Planck Institute for the History of Science. Although the three essays do not directly build upon one another, we have nevertheless decided to present them in a single preprint for two reasons. First, they result from a project that grew out of an earlier cooperation inaugurated by the Berlin Working Group “Albert Einstein.“ This group was part of the research center “Development and Socialization“ under the direction of Wolfgang Edel- stein at the Max Planck Institute for Human Development and Education.1 The Berlin Working Group, directed by Peter Damerow and Jürgen Renn, was sponsored by the Senate of Berlin. Its aim was to pursue research on Einstein in Berlin with particular attention to the relation between his science and its context. The research activities of the Working Group are now being continued at the Max Planck Institute for the History of Science partly, in cooperation with Michel Janssen, John Norton, and John Stachel.