The Search for Extra Dimensions
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Einstein's Mistakes
Einstein’s Mistakes Einstein was the greatest genius of the Twentieth Century, but his discoveries were blighted with mistakes. The Human Failing of Genius. 1 PART 1 An evaluation of the man Here, Einstein grows up, his thinking evolves, and many quotations from him are listed. Albert Einstein (1879-1955) Einstein at 14 Einstein at 26 Einstein at 42 3 Albert Einstein (1879-1955) Einstein at age 61 (1940) 4 Albert Einstein (1879-1955) Born in Ulm, Swabian region of Southern Germany. From a Jewish merchant family. Had a sister Maja. Family rejected Jewish customs. Did not inherit any mathematical talent. Inherited stubbornness, Inherited a roguish sense of humor, An inclination to mysticism, And a habit of grüblen or protracted, agonizing “brooding” over whatever was on its mind. Leading to the thought experiment. 5 Portrait in 1947 – age 68, and his habit of agonizing brooding over whatever was on its mind. He was in Princeton, NJ, USA. 6 Einstein the mystic •“Everyone who is seriously involved in pursuit of science becomes convinced that a spirit is manifest in the laws of the universe, one that is vastly superior to that of man..” •“When I assess a theory, I ask myself, if I was God, would I have arranged the universe that way?” •His roguish sense of humor was always there. •When asked what will be his reactions to observational evidence against the bending of light predicted by his general theory of relativity, he said: •”Then I would feel sorry for the Good Lord. The theory is correct anyway.” 7 Einstein: Mathematics •More quotations from Einstein: •“How it is possible that mathematics, a product of human thought that is independent of experience, fits so excellently the objects of physical reality?” •Questions asked by many people and Einstein: •“Is God a mathematician?” •His conclusion: •“ The Lord is cunning, but not malicious.” 8 Einstein the Stubborn Mystic “What interests me is whether God had any choice in the creation of the world” Some broadcasters expunged the comment from the soundtrack because they thought it was blasphemous. -
Black Hole Production and Graviton Emission in Models with Large Extra Dimensions
Black hole production and graviton emission in models with large extra dimensions Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften vorgelegt beim Fachbereich Physik der Johann Wolfgang Goethe-Universitat in Frankfurt am Main von Benjamin Koch aus Nordlingen Frankfurt am Main 2007 (D 30) vom Fachbereich Physik der Johann Wolfgang Goethe-Universitat als Dissertation angenommen Dekan Gutachter Datum der Disputation Zusammenfassung In dieser Arbeit wird die mogliche Produktion von mikroskopisch kleinen Schwarzen Lcchern und die Emission von Gravitationsstrahlung in Modellen mit grofien Extra-Dimensionen untersucht. Zunachst werden der theoretisch-physikalische Hintergrund und die speziel- len Modelle des behandelten Themas skizziert. Anschliefiend wird auf die durchgefuhrten Untersuchungen zur Erzeugung und zum Zerfall mikrosko pisch kleiner Schwarzer Locher in modernen Beschleunigerexperimenten ein- gegangen und die wichtigsten Ergebnisse zusammengefasst. Im Anschluss daran wird die Produktion von Gravitationsstrahlung durch Teilchenkollisio- nen diskutiert. Die daraus resultierenden analytischen Ergebnisse werden auf hochenergetische kosmische Strahlung angewandt. Die Suche nach einer einheitlichen Theorie der Naturkrafte Eines der grofien Ziele der theoretischen Physik seit Einstein ist es, eine einheitliche und moglichst einfache Theorie zu entwickeln, die alle bekannten Naturkrafte beschreibt. Als grofier Erfolg auf diesem Wege kann es angese- hen werden, dass es gelang, drei 1 der vier bekannten Krafte mittels eines einzigen Modells, des Standardmodells (SM), zu beschreiben. Das Standardmodell der Elementarteilchenphysik ist eine Quantenfeldtheo- rie. In Quantenfeldtheorien werden Invarianten unter lokalen Symmetrie- transformationen betrachtet. Die Symmetriegruppen, die man fur das Stan dardmodell gefunden hat, sind die U(1), SU(2)L und die SU(3). Die Vorher- sagen des Standardmodells wurden durch eine Vielzahl von Experimenten mit hochster Genauigkeit bestatigt. -
Albert Einstein
THE COLLECTED PAPERS OF Albert Einstein VOLUME 15 THE BERLIN YEARS: WRITINGS & CORRESPONDENCE JUNE 1925–MAY 1927 Diana Kormos Buchwald, József Illy, A. J. Kox, Dennis Lehmkuhl, Ze’ev Rosenkranz, and Jennifer Nollar James EDITORS Anthony Duncan, Marco Giovanelli, Michel Janssen, Daniel J. Kennefick, and Issachar Unna ASSOCIATE & CONTRIBUTING EDITORS Emily de Araújo, Rudy Hirschmann, Nurit Lifshitz, and Barbara Wolff ASSISTANT EDITORS Princeton University Press 2018 Copyright © 2018 by The Hebrew University of Jerusalem Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW press.princeton.edu All Rights Reserved LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA (Revised for volume 15) Einstein, Albert, 1879–1955. The collected papers of Albert Einstein. German, English, and French. Includes bibliographies and indexes. Contents: v. 1. The early years, 1879–1902 / John Stachel, editor — v. 2. The Swiss years, writings, 1900–1909 — — v. 15. The Berlin years, writings and correspondence, June 1925–May 1927 / Diana Kormos Buchwald... [et al.], editors. QC16.E5A2 1987 530 86-43132 ISBN 0-691-08407-6 (v.1) ISBN 978-0-691-17881-3 (v. 15) This book has been composed in Times. The publisher would like to acknowledge the editors of this volume for providing the camera-ready copy from which this book was printed. Princeton University Press books are printed on acid-free paper and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources. Printed in the United States of America 13579108642 INTRODUCTION TO VOLUME 15 The present volume covers a thrilling two-year period in twentieth-century physics, for during this time matrix mechanics—developed by Werner Heisenberg, Max Born, and Pascual Jordan—and wave mechanics, developed by Erwin Schrödinger, supplanted the earlier quantum theory. -
Black Hole Production and Graviton Emission in Models with Large Extra Dimensions
Black hole production and graviton emission in models with large extra dimensions Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften vorgelegt beim Fachbereich Physik der Johann Wolfgang Goethe–Universit¨at in Frankfurt am Main von Benjamin Koch aus N¨ordlingen Frankfurt am Main 2007 (D 30) vom Fachbereich Physik der Johann Wolfgang Goethe–Universit¨at als Dissertation angenommen Dekan ........................................ Gutachter ........................................ Datum der Disputation ................................ ........ Zusammenfassung In dieser Arbeit wird die m¨ogliche Produktion von mikroskopisch kleinen Schwarzen L¨ochern und die Emission von Gravitationsstrahlung in Modellen mit großen Extra-Dimensionen untersucht. Zun¨achst werden der theoretisch-physikalische Hintergrund und die speziel- len Modelle des behandelten Themas skizziert. Anschließend wird auf die durchgefuhrten¨ Untersuchungen zur Erzeugung und zum Zerfall mikrosko- pisch kleiner Schwarzer L¨ocher in modernen Beschleunigerexperimenten ein- gegangen und die wichtigsten Ergebnisse zusammengefasst. Im Anschluss daran wird die Produktion von Gravitationsstrahlung durch Teilchenkollisio- nen diskutiert. Die daraus resultierenden analytischen Ergebnisse werden auf hochenergetische kosmische Strahlung angewandt. Die Suche nach einer einheitlichen Theorie der Naturkr¨afte Eines der großen Ziele der theoretischen Physik seit Einstein ist es, eine einheitliche und m¨oglichst einfache Theorie zu entwickeln, die alle bekannten Naturkr¨afte beschreibt. -
Florida Physics News University of Florida - Department of Physics Annual Alumni Newsletter 2005
Florida Physics News University of Florida - Department of Physics Annual Alumni Newsletter 2005 University of Florida - Department of Physics 1 Contents Chair’s Corner 2 Chair’s Corner UF Teacher/Scholar Award 3 American Physical Society - Three New Fellows 5 APS Keithley Award 5 November 2005 marks the third anniversary of Professors Earn Positions in National Societies 6 my term as department chair, and I can say that the Columbia Shuttle Accident Investigation 7 Student Government Award 8 past year has been the most exciting one (“exciting” Academy Induction 8 in the sense of the ancient Chinese curse, “May you Faculty Promotions 8 Post-Doc Awarded Fellowship from L’Oreal Corporation 8 live in exciting times”). Two significant events come to Research Scholar Award 8 mind: the record 2004 hurricane season, and the July Travel Awards 9 Undergraduate Physics Newsletter - In Review 10 2004 implementation of the new Enterprise Resource Albert Einstein Institut Rewards Two Students 12 Planning so�ware from PeopleSo�, designed to Physics Teacher of the Year 12 manage UF’s financial, payroll, and human resources 25th Brandt-Ritchie Workshop 12 TannerFest 12 activities. As you know, Florida was hammered 45th Sanibel Symposium 13 by four hurricanes during last year’s season, and Faculty Retirement 13 Faculty Selected Publications 14 Hurricanes Frances and Jeanne directly hit Gainesville Davis Productivity Award 16 in September 2004. Although ultimately the damage to Staff Retirement 16 Employee Excellence Awardees 16 UF was minimal, with downed trees, power outages, Undergraduate Honors 16 and minor flooding, it was nonetheless a stressful time Outreach Program 17 Celebrating New PhD’s 18 for the many faculty, staff, and students who were Awards Made Possible By Alumni Donations 18 affected by the storms. -
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. -
Arxiv:1308.1092V3 [Hep-Th] 28 Oct 2014
Noname manuscript No. (will be inserted by the editor) Unifying Geometrical Representations of Gauge Theory Scott Alsid · Mario Serna Received: date / Accepted: date Abstract We unify three approaches within the vast body of gauge-theory research that have independently developed distinct representations of a geometrical surface- like structure underlying the vector-potential. The three approaches that we unify are: those who use the compactified dimensions of Kaluza-Klein theory, those who use Grassmannian models (also called gauge theory embedding or CPN−1 models) to rep- resent gauge fields, and those who use a hidden spatial metric to replace the gauge fields. In this paper we identify a correspondence between the geometrical represen- tations of the three schools. Each school was mostly independently developed, does not compete with other schools, and attempts to isolate the gauge-invariant geometri- cal surface-like structures that are responsible for the resulting physics. By providing a mapping between geometrical representations, we hope physicists can now isolate representation-dependent physics from gauge-invariant physical results and share re- sults between each school. We provide visual examples of the geometrical relation- ships between each school for U(1) electric and magnetic fields. We highlight a first new result: in all three representations a static electric field (electric field from a fixed ring of charge or a sphere of charge) has a hidden gauge-invariant time dependent surface that is underlying the vector potential. Keywords Kaluza Klein · Gauge field theory: Composite · Field theoretical model: CPN−1 · Gauge Geometry Embedding · Grassmannian Models · Hidden-spatial geometry PACS 04.20.Cv · 11.15.-q · 04.20.-q · 12.38.Aw S. -
Einstein and the Kaluza-Klein Particle
ITFA-99-28 Einstein and the Kaluza-Klein particle Jeroen van Dongen1 Institute for Theoretical Physics, University of Amsterdam Valckeniersstraat 65 1018 XE Amsterdam and Joseph Henry Laboratories, Princeton University Princeton NJ 08544 Abstract In his search for a unified field theory that could undercut quantum mechanics, Einstein considered five dimensional classical Kaluza-Klein theory. He studied this theory most intensively during the years 1938-1943. One of his primary objectives was finding a non-singular particle solution. In the full theory this search got frustrated and in the x5-independent theory Einstein, together with Pauli, argued it would be impossible to find these structures. Keywords: Einstein; Unified Field Theory; Kaluza-Klein Theory; Quantization; Soli- tons 1 Introduction After having formulated general relativity Albert Einstein did not immediately focus on the unification of electromagnetism and gravity in a classical field theory - the issue that would characterize much of his later work. It was still an open question to him whether arXiv:gr-qc/0009087v1 26 Sep 2000 relativity and electrodynamics together would cast light on the problem of the structure of matter [18]. Rather, in a 1916 paper on gravitational waves he anticipated a different development: since the electron in its atomic orbit would radiate gravitationally, something that cannot “occur in reality”, he expected quantum theory would have to change not only the ”Maxwellian electrodynamics, but also the new theory of gravitation” [19]2. Einstein’s position, however, gradually changed. From about 1919 onwards, he took a strong interest in the unification programme3. In later years, after about 1926, he hoped that he would find a particular classical unified field theory that could undercut quantum theory. -
Fermilab Theory Group
Fermilab Theory Group Christopher T. Hill DOE Annual Program Review Fermilab, May 17, 2006 Scale of Effort(s) Program Review FY05 FY06 FY07 FY08 Particle Theory (SWF+M&S+G&V) $3,598 $3,531 $3,731 $3,899 Lattice $1,451 $2,782 $2,733 $3,035 The support for the Lattice gauge is increasing; some of the funds come from SciDAC, some from the core budget. Scientists (12) Associate Scientists (1) Research Associates (9) Bill Bardeen Thomas Becher (9/04) Mu-Chun Chen Marcela Carena Richard Hill Estia Eichten Jay Hubicz Keith Ellis Jim Laiho Walter Giele Olga Mena Christopher Hill Senior Guest Scientist(1) Enrico Lunghi Andreas Kronfeld Jose Santiago Boris Kayser Joe Lykken Peter Skands Paul Mackenzie Ruth van de Water Bogdan Dobrescu* Emeritus Scientist (1) Regular Users Stephen Parke Leon M. Lederman C. Albright (NIU) Chris Quigg S. Mrenna (Fermilab, Computing) Y. Keung (UIC) *Promoted, 10/01/05 S.P. Martin (NIU) Ulrich Baur (Buffalo) Departures: Associate Scientist Search: Ayres Freitas Zurich ETH Babis Anastasiou (offered and declined) Giulia Zanderighi CERN Uli Haisch Zurich ETH History of the Post-Docs, Associate Masataka Okamoto KEK Scientists and Frontier Fellows is Ulrich Nierste Karlsruhe (Professor) posted on the web: http://theory.fnal.gov/people/ellis/alumni.html New Postdoc Hires arrived Fall 2005: http://theory.fnal.gov/people/ellis/Assoc.html Mu-Chun Chen (from BNL),(*) http://theory.fnal.gov/people/ellis/frontier.html Richard Hill (from SLAC), Jay Hubicz (from Cornell) Enrico Lunghi (from ETH) Ruth van de Water (from Seattle) (*) just received Jr. Faculty offer from Irvine New Postdoc Hires to arrive Fall 2006: K. -
Supergravity
Supergravity Parada Prangchaikul, Suranaree University of Technology, Thailand September 6, 2018 Abstract Supergravity theory is an effective theory of M-theory in 11 dimensions (11D), hence the study of supergravity helps us understanding the fundamental theory. In this project, we worked on the construction of supergravity theories in certain conditions and studied the supersymmetry transformations of field contents in the theories. Furthermore, we studied a bosonic sector of matter coupled N = 2 4D supergravity using coset manifold. In conclusion, we obtained N = 1, N = 2 supergravity theories in 4D, 11D supergravity and the special Kahler manifold from the bosonic sector of matter coupled N = 2 4D supergravity written in the coset form G=H. 1 Contents 1 Introduction 3 2 N = 1 D = 4 supergravity 3 3 D = 11 supergravity 4 4 N = 2 D = 4 Supergravity 5 5 The bosonic sector of matter coupled N = 2 D = 4 supergravity 6 6 Future work 8 2 1 Introduction The minimal supergravity in 4 dimension was constructed by [1] in 1976. After that it was generalized in various dimensional spacetimes and numbers of supersymmetries. Then, Cremmer, Julia and Scherk [2] found the mother theory of supergravity, which was the theory in 11 spacetime dimensions. Since D > 11 dimensional theories consist of particles with helicities greater than 2. Therefore, the greatest supergravity theory is the one that lives in 11 dimensions (some physicists might say that supergravity is in its most beautiful form in 11 dimensions). In 1995, Edward Witten [3] found the link between five candidates of string theory which are type I, type IIA, type IIB, SO(32) Heterotic and E8 × E8 Heterotic string theories. -
The Early Years of String Theory: a Personal Perspective
CALT-68-2657 THE EARLY YEARS OF STRING THEORY: A PERSONAL PERSPECTIVE John H. Schwarz California Institute of Technology Pasadena, CA 91125, USA Abstract arXiv:0708.1917v3 [hep-th] 3 Apr 2009 This article surveys some of the highlights in the development of string theory through the first superstring revolution in 1984. The emphasis is on topics in which the author was involved, especially the observation that critical string theories provide consistent quantum theories of gravity and the proposal to use string theory to construct a unified theory of all fundamental particles and forces. Based on a lecture presented on June 20, 2007 at the Galileo Galilei Institute 1 Introduction I am happy to have this opportunity to reminisce about the origins and development of string theory from 1962 (when I entered graduate school) through the first superstring revolution in 1984. Some of the topics were discussed previously in three papers that were written for various special events in 2000 [1, 2, 3]. Also, some of this material was reviewed in the 1985 reprint volumes [4], as well as the string theory textbooks [5, 6]. In presenting my experiences and impressions of this period, it is inevitable that my own contributions are emphasized. Some of the other early contributors to string theory have presented their recollections at the Galileo Galilei Institute meeting on “The Birth of String Theory” in May 2007. Since I was unable to attend that meeting, my talk was given at the GGI one month later. Taken together, the papers in this collection should -
STRING THEORY in the TWENTIETH CENTURY John H
STRING THEORY IN THE TWENTIETH CENTURY John H. Schwarz Strings 2016 { August 1, 2016 ABSTRACT String theory has been described as 21st century sci- ence, which was discovered in the 20th century. Most of you are too young to have experienced what happened. Therefore, I think it makes sense to summarize some of the highlights in this opening lecture. Since I only have 25 minutes, this cannot be a com- prehensive history. Important omitted topics include 2d CFT, string field theory, topological string theory, string phenomenology, and contributions to pure mathematics. Even so, I probably have too many slides. 1 1960 { 68: The analytic S matrix The goal was to construct the S matrix that describes hadronic scattering amplitudes by assuming • Unitarity and analyticity of the S matrix • Analyticity in angular momentum and Regge Pole The- ory • The bootstrap conjecture, which developed into Dual- ity (e.g., between s-channel and t-channel resonances) 2 The dual resonance model In 1968 Veneziano found an explicit realization of duality and Regge behavior in the narrow resonance approxima- tion: Γ(−α(s))Γ(−α(t)) A(s; t) = g2 ; Γ(−α(s) − α(t)) 0 α(s) = α(0) + α s: The motivation was phenomenological. Incredibly, this turned out to be a tree amplitude in a string theory! 3 Soon thereafter Virasoro proposed, as an alternative, g2 Γ(−α(s))Γ(−α(t))Γ(−α(u)) T = 2 2 2 ; −α(t)+α(u) −α(s)+α(u) −α(s)+α(t) Γ( 2 )Γ( 2 )Γ( 2 ) which has similar virtues.