Minkowski spacetime : a hundred years later

Bibliographic Information

Minkowski spacetime : a hundred years later

Vesselin Petkov, editor

(Fundamental theories of physics, v. 165)

Springer, c2010

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Note

Text in English with translation and original German version of Minkowski's paper

Includes bibliographical references

Contents of Works

  • Hermann Minkowski, relativity and the axiomatic approach to physics / Leo Corry
  • Minkowski's modern world / Scott Walter
  • Hermann Minkowski and special relativity / Greham Hall
  • The rich structure of Minkowski space / Domenico Giulini
  • Minkowski space-time and quantum mechanics / W.G. Unruh
  • Modern space-time and undecidability / Rodolfo Gambini and Jorge Pullin
  • Quantum space-times beyond the continuum of Minkowski and Einstein / Abhay Ashtekar
  • Space-time extensions in quantum gravity / Martin Bojowald
  • The adolescence of relativity : Einstein, Minkowski, and the philosophy of space and time / Dennis Dieks
  • Hermann Minkowski : from geometry of numbers to physical geometry / Yvon Gauthier
  • The mystical formula and the mystery of Khronos / Orfeu Bertolami
  • Physical laws and worldlines in Minkowski spacetime / Vesselin Petkov
  • Time as an illusion / Paul S. Wesson
  • Consequences of Minkowski's unification of space and time for a philosophy of nature / Herbert Pietschmann

Description and Table of Contents

Description

This volume is dedicated to the one hundredth anniversary of the publication of Hermann Minkowski's paper "Raum und Zeit" in 1909 [1]. The paper presents the textofthetalkMinkowskigaveatthe80thMeetingoftheGermanNaturalScientists and Physicians in Cologne on September 21, 1908. Minkowski's work on the spacetime representation of special relativity had a huge impact on the twentieth century physics, which can be best expressed by merely stating what is undeniable - that modern physics would be impossible wi- out the notion of spacetime. It is suf cient to mention as an example only the fact that general relativity would be impossible without this notion; Einstein succeeded to identifygravitywith the curvatureofspacetime onlywhen he overcamehis initial hostile reactionto Minkowski'sfour-dimensionalrepresentationof special relativity and adopted spacetime as the correct relativistic picture of the world. While there exists an unanimous consensus on the mathematical signi cance of spacetime for theoretical physics, for a hundred years there has been no consensus on the nature of spacetime itself. The rst sign of this continuing controversy was Sommerfeld's remark in his notes on Minkowski's article [2]: "What will be the epistemologicalattitudetowardsMinkowski'sconceptionofthetime-spaceproblem is another question, but, as it seems to me, a question which does not essentially touch his physics".

Table of Contents

  • Preface Hermann Minkowski: Space and Time (English translation by Dennis Lehmkuhl) Hermann Minkowski: Raum und Zeit (original German text) PART I: The Impact of Minkowski Spacetime on the Twentieth Century Physics from a Historical Perspective Hermann Minkowski, Relativity and the Axiomatic Approach to Physics
  • Leo Corry, Cohn Institute for History and Philosophy of Science, Tel-Aviv University Minkowski's Modern World
  • Scott Walter, University of Nancy and H. Poincare Archives PART II: Implications of Minkowski Spacetime for Theoretical Physics Hermann Minkowski and Special Relativity
  • Graham Hall, Department of Mathematical Sciences, University of Aberdeen The Rich Structure of Minkowski Space
  • Domenico Giulini, Institute of Physics, University of Freiburg Minkowski Spacetime and Quantum Mechanics
  • William G. Unruh, Department of Physics & Astronomy, University of British Columbia Modern Spacetime and Undecidability
  • Rodolfo Gambini, Institute of Physics, Montevideo University, and Jorge Pullin, Department of Physics, Louisiana State University Quantum Spacetimes: Beyond the Continuum of Minkowski and Einstein
  • Abhay Ashtekar, Department of Physics, Pennsylvania State University Spacetime Extensions in Quantum Gravity
  • Martin Bojowald, Institute for Gravitational Physics and Geometry, The Pennsylvania State University PART III: Conceptual and Philosophical Issues of Minkowski Spacetime The Adolescence of Relativity: Einstein, Minkowski, and the Philosophy of Space and Time
  • Dennis Dieks, Department of History and Foundations of Science, Utrecht University Hermann Minkowski: From Geometry of Numbers to Physical Geometry
  • Yvon Gauthier, Department of Philosophy, University of Montreal The Mystical Formula and the Mystery of Khronos
  • Orfeu Bertolami, Dpto. Fisica, Instituto Superior Tecnico, Lisbon, Portugal Physical Laws and Worldlines in Minkowski Spacetime
  • Vesselin Petkov, Science College, Concordia University Time as an Illusion
  • Paul S. Wesson, Department of Physics and Astronomy, University of Waterloo Consequences of Minkowski's Unification of Space and Time for a Philosophy of Nature
  • Herbert Pietschmann, Institute for Theoretical Physics at the University of Vienna

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