Einstein's Dice and Schrödinger's
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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. -
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manu- script of Einstein, composed in 1938 and entitled “Unified Field Theory,” the only such writing, published or unpublished, carrying this title without any further specification.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. -
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. -
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. -
PLUNGE #305 - William K
20--MANCHESTER HERALD, Friday, Oct. 1.^, 1989 READ YOUR AD: ClassiFed odvertlsoments a r t I qi^ cars I CARS [g^CARS I CARS W E D ELIVER taken by telephone os o conyenlence. The FOR SALE FOR SALE FOR SALE Manchester Herald Is responsible For only one FOR SALE For Horr>© Del: 'sry. Call Incorrect Insertion and then only tor the size oF 6 4 7 - 9 9 4 6 the original Insertion. E . rorswhichdonot lessen the yolue oF the advertisement will not be 1984 HONDA Civic Wagon CHEVROLET 1980 Ma O L D S M O B IL E 1981 R e CHEVROLET 1985 Celeb Monday to Friday. 9 to 6 - 646-0767 or 649-4554, libu - 4 door, good gency - Loaded, must rity wagon. Excellent corrected by on additional Insertion._____________ J o c k . ________ condition. $1,250. 643- sell. 643-1364.___________ condition. V-6 auto 1986 JEEP Wogoneer Li 5484. 1984 CELEBRITY-4door, matic, power steerlng- /brakes, air, cruise. CARS mited - Excellent con CHEVROLET 1974 Co Fully equipped, excel CARS CARS dition, 43,000 miles, moro - New point, new lent condition. $3,500. $4,500 or best otter. IQI i FOR SALE 647-8894. FOR SALE automatic, olr condl- vinvl top, 6 cylinder 1987 MUSTANG LX - 4 I^^H foR sale FOR SALE tlonlng, om/tm automatic, $1,750. Ne cylinder, hatchback, 5 cassette, leather Inte- gotiable. 649-8944, speed, $6,500. 646-2392. rlor. $10,900, 643-2938. leave message. TRUCKS/VANS 1984 FORD Escort Wagon C O R V E T T E 1971 S tlno STEAL It. -
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. -
0045-Flyer-Einstein-En-2.Pdf
FEATHERBEDDINGCOMPANYWEIN HOFJEREMIAHSTATUESYN AGOGEDREYFUSSMOOSCEMETERY MÜNSTERPLATZRELATIVI TYE=MC 2NOBELPRIZEHOMELAND PERSECUTIONAFFIDAVIT OFSUPPORTEMIGRATIONEINSTEIN STRASSELETTERSHOLOCAUSTRESCUE FAMILYGRANDMOTHERGRANDFAT HERBUCHAUPRINCETONBAHNHOF STRASSE20VOLKSHOCHSCHULEFOU NTAINGENIUSHUMANIST 01 Albert Einstein 6 7 Albert Einstein. More than just a name. Physicist. Genius. Science pop star. Philosopher and humanist. Thinker and guru. On a par with Copernicus, Galileo or Newton. And: Albert Einstein – from Ulm! The most famous scientist of our time was actually born on 14th March 1879 at Bahnhofstraße 20 in Ulm. Albert Einstein only lived in the city on the Danube for 15 months. His extended family – 18 of Einstein’s cousins lived in Ulm at one time or another – were a respected and deep-rooted part of the city’s society, however. This may explain Einstein’s enduring connection to the city of his birth, which he described as follows in a letter to the Ulmer Abend- post on 18th March 1929, shortly after his 50th birthday: “The birthplace is as much a unique part of your life as the ancestry of your biological mother. We owe part of our very being to our city of birth. So I look on Ulm with gratitude, as it combines noble artistic tradition with simple and healthy character.” 8 9 The “miracle year” 1905 – Einstein becomes the founder of the modern scientific world view Was Einstein a “physicist of the century”? There‘s no doubt of that. In his “miracle year” (annus mirabilis) of 1905 he pub- lished 4 groundbreaking works along- side his dissertation. Each of these was worthy of a Nobel Prize and turned him into a physicist of international standing: the theory of special relativity, the light quanta hypothesis (“photoelectric effect”), Thus, Albert Einstein became the found- for which he received the Nobel Prize in er of the modern scientific world view. -
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. -
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, Eddington, and the Eclipse: Travel Impressions
EINSTEIN, EDDINGTON, AND THE ECLIPSE: TRAVEL IMPRESSIONS ESSAY 195 INTRODUCTION The total solar eclipse that occurred on 29 May 1919—perhaps considered the most famous solar eclipse ever—was exceptional for a variety of scientific, political, social, and even religious reasons. At just over five minutes of totality (more precisely, 302 seconds), it was a long eclipse. Behind the sun appeared the Taurus constellation, which included the Hyades, the brightest star cluster in the ecliptic. The preparations of the British teams that observed it, and which are the subject of this essay, took place in the middle of the Great War, during a period of international instability. The observation locations selected by these specialists were in the tropics, in distant regions unknown to most astronomers, and thus required extensive preparations. These places included the city of Sobral, in the north-eastern state of Ceará in Brazil, and the equatorial island of Príncipe, then part of the Portuguese empire, and today part of the Republic of São Tomé and Príncipe. Located in the Gulf of Guinea on the West African coast, Príncipe was then known as one of the world’s largest cocoa producers, and was under international suspicion for practicing slave labour. Additionally, among the teams of expeditionary astronomers from various countries—including the United Kingdom, the United States, and Brazil—there was not just one, but two British teams. This was an uncommon choice given the material, as well as the scientific and financial effort involved, accentuated by the unfavourable context of the war. The expedition that observed at Príncipe included Arthur Stanley Eddington (1882– 1944), the astrophysicist and young director of the Cambridge Observatory, as well as the clockmaker and calculator Edwin Turner Cottingham (1869–1940); the expedition that visited Brazil included Andrew Claude de la Cherois Crommelin (1865–1939), and Charles Rundle Davidson (1875–1970), both experienced astronomers at the Greenwich Observatory (see pp. -
Miniaturized Single Particle Dissolution Testing
MINIATURIZED SINGLE PARTICLE DISSOLUTION TESTING Sami Svanbäck University of Helsinki Faculty of Pharmacy Division of Pharmaceutical Technology September 2013 Contents LIST OF ABBREVIATIONS................................................................................ 1 INTRODUCTION.........................................................................................................1 2 DISSOLUTION.............................................................................................................1 2.1 Three physical models of dissolution....................................................................3 2.2 Three single particle models of dissolution, and beyond.......................................6 2.3 The intrinsic dissolution rate..................................................................................9 3 SOLUBILITY .............................................................................................................10 4 FACTORS AFFECTING THE DISSOLUTION RATE AND SOLUBILITY IN AQUEOUS MEDIA – IN VITRO AND IN VIVO.........................................................13 4.1 Sink conditions.....................................................................................................14 4.2 The effect of pH...................................................................................................14 4.3 Particle size, shape and agitation.........................................................................16 4.4 Solid state properties............................................................................................18