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Belated Decision in the Hilbert-Einstein Priority Dispute
(10). As described above, the severely opis- Dinosauria (Univ. of California Press, Berkeley, CA, However, the overall similarity of the pelvis of Archae- 1990). opteryx to those of the enantiornithine birds, espe- thopubic condition of their pelvis is consis- 10. L. Hou, L. D. Martin, Z. Zhou, A. Feduccia, Science cially the presence of the hypopubic cup, as well as tent with the notion that these birds roost- 274, 1164 (1996). the morphology of the London and Berlin Archae- ed in trees. In contrast, based primarily on 11. Q. Ji and S. Ji, Chin. Geol. 10, 30 (1996); see also V. opteryx specimens, offer support for our interpreta- disputed measurements of claw curvature, Morell, Audubon 99, 36 (1997). tion of the pelvic structure of these early birds [L. D. 12. Rather than representing primitive archosaurian Martin, in Origin of the Higher Groups of Tetrapods, Archaeopteryx has been interpreted as structures, it is probable that the hepatic-piston dia- H. P. Schultze and L. Trueb, Eds. (Cornell Univ. adapted primarily for a terrestrial rather phragm systems in crocodilians and theropods are Press, Ithaca, NY, 1991), pp. 485–540. than an arboreal existence (18). However, convergently derived. Pelvic anatomy in early “pro- 18. D. S. Peters and E. Go¨ rgner, in Proceedings of the II todinosaurs” such as Lagosuchus, as well as in all International Symposium of Avian Paleontology, K. as in the enantiornithines, the morphology ornithischian dinosaurs, shows no evidence of the Campbell, Ed. (Los Angeles Museum of Natural His- of Archaeopteryx’s pelvis is best interpreted pubis having served as a site of origin for similar tory Press, Los Angeles, CA, 1992), pp. -
Relational Quantum Mechanics
Relational Quantum Mechanics Matteo Smerlak† September 17, 2006 †Ecole normale sup´erieure de Lyon, F-69364 Lyon, EU E-mail: [email protected] Abstract In this internship report, we present Carlo Rovelli’s relational interpretation of quantum mechanics, focusing on its historical and conceptual roots. A critical analysis of the Einstein-Podolsky-Rosen argument is then put forward, which suggests that the phenomenon of ‘quantum non-locality’ is an artifact of the orthodox interpretation, and not a physical effect. A speculative discussion of the potential import of the relational view for quantum-logic is finally proposed. Figure 0.1: Composition X, W. Kandinski (1939) 1 Acknowledgements Beyond its strictly scientific value, this Master 1 internship has been rich of encounters. Let me express hereupon my gratitude to the great people I have met. First, and foremost, I want to thank Carlo Rovelli1 for his warm welcome in Marseille, and for the unexpected trust he showed me during these six months. Thanks to his rare openness, I have had the opportunity to humbly but truly take part in active research and, what is more, to glimpse the vivid landscape of scientific creativity. One more thing: I have an immense respect for Carlo’s plainness, unaltered in spite of his renown achievements in physics. I am very grateful to Antony Valentini2, who invited me, together with Frank Hellmann, to the Perimeter Institute for Theoretical Physics, in Canada. We spent there an incredible week, meeting world-class physicists such as Lee Smolin, Jeffrey Bub or John Baez, and enthusiastic postdocs such as Etera Livine or Simone Speziale. -
‰M‰Mwm Cixþvi Cék² I Dîi
gBs‡iwRƒj eBGqi 1g cÎ AwZwiÚ Ask 275 ‰m‰mwm cixÞvi cÉk² I Dîi 1. Dhaka Board-2015 English (Compulsory) 1st Paper Read the passage. Then answer the questions below. The National Memorial at Savar is a symbol of the nation's respect for the martyrs of the War of Liberation. It is built with concrete, but made of blood. It stands 150 feet tall, but every martyr it stands for stands so much taller. It is an achievement the dimension of which can be measured, but it stands for an achievement, which is immeasurable. It stands upright for the millions of martyrs who laid down their lives so that we may stand upright, in honour and dignity, amongst the nations of the world. Most prominently visible is the 150 feet tower that stands on a base measuring 130 feet wide. There are actually a series of 7 towers that rise by stages to a height of 150 feet. The foundation was laid on the first anniversary of the Victory Day. There is actually a plan to build a huge complex in several phases. The entire complex will cover an area of 126 acres. The plan of this complex includes a mosque, a library and a museum. The relics of the Liberation War will be kept in the museum. They will ever remind our countrymen and all who would come to visit museum of the valiant struggle and supreme sacrifices of a freedom loving people. Here also will be a clear warning to all oppressors that the weapons of freedom need not be very big, and that oppression will always be defeated. -
The E.P.R. Paradox George Levesque
Undergraduate Review Volume 3 Article 20 2007 The E.P.R. Paradox George Levesque Follow this and additional works at: http://vc.bridgew.edu/undergrad_rev Part of the Quantum Physics Commons Recommended Citation Levesque, George (2007). The E.P.R. Paradox. Undergraduate Review, 3, 123-130. Available at: http://vc.bridgew.edu/undergrad_rev/vol3/iss1/20 This item is available as part of Virtual Commons, the open-access institutional repository of Bridgewater State University, Bridgewater, Massachusetts. Copyright © 2007 George Levesque The E.P.R. Paradox George Levesque George graduated from Bridgewater his paper intends to discuss the E.P.R. paradox and its implications State College with majors in Physics, for quantum mechanics. In order to do so, this paper will discuss the Mathematics, Criminal Justice, and features of intrinsic spin of a particle, the Stern-Gerlach experiment, Sociology. This piece is his Honors project the E.P.R. paradox itself and the views it portrays. In addition, we will for Electricity and Magnetism advised by consider where such a classical picture succeeds and, eventually, as we will see Dr. Edward Deveney. George ruminated Tin Bell’s inequality, fails in the strange world we live in – the world of quantum to help the reader formulate, and accept, mechanics. why quantum mechanics, though weird, is valid. Intrinsic Spin Intrinsic spin angular momentum is odd to describe by any normal terms. It is unlike, and often entirely unrelated to, the classical “orbital angular momentum.” But luckily we can describe the intrinsic spin by its relationship to the magnetic moment of the particle being considered. -
Thesis Rests with Its Author
University of Bath PHD New vacuum solutions for quadratic metric–affine gravity Pasic, Vedad Award date: 2009 Awarding institution: University of Bath Link to publication Alternative formats If you require this document in an alternative format, please contact: [email protected] General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Download date: 23. Sep. 2021 New Vacuum Solutions for Quadratic Metric–affine Gravity submitted by Vedad Pasiˇ c´ for the degree of Doctor of Philosophy of the University of Bath Department of Mathematical Sciences February 2009 COPYRIGHT Attention is drawn to the fact that copyright of this thesis rests with its author. This copy of the thesis has been supplied on the condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without the prior written consent of the author. -
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. -
Einstein's Life and Legacy
Reflections Einstein's Life and Legacy Introduction Albert Einstein is the most luminous scientist of the past century, and ranks with Isaac Newton as one among the greatest physicists of all time. There is an enormous amount of material to choose from in talking about Einstein. He is without doubt also the most written about scientist of the past century, may be of all time. The Einstein Archives contain about 43,000 documents, and so far as I know the "Collected Papers of Albert Einstein" have only come upto 1917 with Volume 8 in English translation; another 32 volumes remain to be produced. In the face of all this, this account must be severely selective, and coherent as well. Einstein's life was incredibly rich and intense in the intellectual sense. This will become clear as I go along. In any case let me begin by presenting in Box 1 a brieflisting of a few important dates in his life, howsoever inadequate it may be. He was scientifically active essentially from 1902 upto 1935 at the highest imaginable levels, thus for more than three decades. The Miraculous Year Now let us turn to technical matters. First, a brief mention of his creative outburst of 1905, whose centenary we are celebrating this year. There were four fundamental papers, and the doctoral thesis, all in the six months from March to September. The first paper on the light quantum concept and explanation of the photo electric effect was submitted to Annalen der Physik in March; the second on Brownian Motion in May; and the third setting out the Special Theory of Relativity in June. -
Empirical Modelling of Einstein Absorption Refrigeration System
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 75, Issue 3 (2020) 54-62 Journal of Advanced Research in Fluid Mechanics and Thermal Sciences Journal homepage: www.akademiabaru.com/arfmts.html ISSN: 2289-7879 Empirical Modelling of Einstein Absorption Refrigeration Open Access System Keng Wai Chan1,*, Yi Leang Lim1 1 School of Mechanical Engineering, Engineering Campus, Universiti Sains Malaysia, 14300 Nibong Tebal, Penang, Malaysia ARTICLE INFO ABSTRACT Article history: A single pressure absorption refrigeration system was invented by Albert Einstein and Received 4 April 2020 Leo Szilard nearly ninety-year-old. The system is attractive as it has no mechanical Received in revised form 27 July 2020 moving parts and can be driven by heat alone. However, the related literature and Accepted 5 August 2020 work done on this refrigeration system is scarce. Previous researchers analysed the Available online 20 September 2020 refrigeration system theoretically, both the system pressure and component temperatures were fixed merely by assumption of ideal condition. These values somehow have never been verified by experimental result. In this paper, empirical models were proposed and developed to estimate the system pressure, the generator temperature and the partial pressure of butane in the evaporator. These values are important to predict the system operation and the evaporator temperature. The empirical models were verified by experimental results of five experimental settings where the power input to generator and bubble pump were varied. The error for the estimation of the system pressure, generator temperature and partial pressure of butane in evaporator are ranged 0.89-6.76%, 0.23-2.68% and 0.28-2.30%, respectively. -
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. -
Theoretical Physics Group Decoherent Histories Approach: a Quantum Description of Closed Systems
Theoretical Physics Group Department of Physics Decoherent Histories Approach: A Quantum Description of Closed Systems Author: Supervisor: Pak To Cheung Prof. Jonathan J. Halliwell CID: 01830314 A thesis submitted for the degree of MSc Quantum Fields and Fundamental Forces Contents 1 Introduction2 2 Mathematical Formalism9 2.1 General Idea...................................9 2.2 Operator Formulation............................. 10 2.3 Path Integral Formulation........................... 18 3 Interpretation 20 3.1 Decoherent Family............................... 20 3.1a. Logical Conclusions........................... 20 3.1b. Probabilities of Histories........................ 21 3.1c. Causality Paradox........................... 22 3.1d. Approximate Decoherence....................... 24 3.2 Incompatible Sets................................ 25 3.2a. Contradictory Conclusions....................... 25 3.2b. Logic................................... 28 3.2c. Single-Family Rule........................... 30 3.3 Quasiclassical Domains............................. 32 3.4 Many History Interpretation.......................... 34 3.5 Unknown Set Interpretation.......................... 36 4 Applications 36 4.1 EPR Paradox.................................. 36 4.2 Hydrodynamic Variables............................ 41 4.3 Arrival Time Problem............................. 43 4.4 Quantum Fields and Quantum Cosmology.................. 45 5 Summary 48 6 References 51 Appendices 56 A Boolean Algebra 56 B Derivation of Path Integral Method From Operator -
Copyrighted Material
ftoc.qrk 5/24/04 1:46 PM Page iii Contents Timeline v de Sitter,Willem 72 Dukas, Helen 74 Introduction 1 E = mc2 76 Eddington, Sir Arthur 79 Absentmindedness 3 Education 82 Anti-Semitism 4 Ehrenfest, Paul 85 Arms Race 8 Einstein, Elsa Löwenthal 88 Atomic Bomb 9 Einstein, Mileva Maric 93 Awards 16 Einstein Field Equations 100 Beauty and Equations 17 Einstein-Podolsky-Rosen Besso, Michele 18 Argument 101 Black Holes 21 Einstein Ring 106 Bohr, Niels Henrik David 25 Einstein Tower 107 Books about Einstein 30 Einsteinium 108 Born, Max 33 Electrodynamics 108 Bose-Einstein Condensate 34 Ether 110 Brain 36 FBI 113 Brownian Motion 39 Freud, Sigmund 116 Career 41 Friedmann, Alexander 117 Causality 44 Germany 119 Childhood 46 God 124 Children 49 Gravitation 126 Clothes 58 Gravitational Waves 128 CommunismCOPYRIGHTED 59 Grossmann, MATERIAL Marcel 129 Correspondence 62 Hair 131 Cosmological Constant 63 Heisenberg, Werner Karl 132 Cosmology 65 Hidden Variables 137 Curie, Marie 68 Hilbert, David 138 Death 70 Hitler, Adolf 141 iii ftoc.qrk 5/24/04 1:46 PM Page iv iv Contents Inventions 142 Poincaré, Henri 220 Israel 144 Popular Works 222 Japan 146 Positivism 223 Jokes about Einstein 148 Princeton 226 Judaism 149 Quantum Mechanics 230 Kaluza-Klein Theory 151 Reference Frames 237 League of Nations 153 Relativity, General Lemaître, Georges 154 Theory of 239 Lenard, Philipp 156 Relativity, Special Lorentz, Hendrik 158 Theory of 247 Mach, Ernst 161 Religion 255 Mathematics 164 Roosevelt, Franklin D. 258 McCarthyism 166 Russell-Einstein Manifesto 260 Michelson-Morley Experiment 167 Schroedinger, Erwin 261 Millikan, Robert 171 Solvay Conferences 265 Miracle Year 174 Space-Time 267 Monroe, Marilyn 179 Spinoza, Baruch (Benedictus) 268 Mysticism 179 Stark, Johannes 270 Myths and Switzerland 272 Misconceptions 181 Thought Experiments 274 Nazism 184 Time Travel 276 Newton, Isaac 188 Twin Paradox 279 Nobel Prize in Physics 190 Uncertainty Principle 280 Olympia Academy 195 Unified Theory 282 Oppenheimer, J.