Relativity

Hanoch Gutfreund is professor emeritus of theoretical physics at the Hebrew University of Jerusalem, where he is also the academic director of the Albert Einstein Archives. He lives in Jerusalem. Jurgen Renn is a director at the Max Planck Institute for the History of Science in Berlin. His books include The Genesis of General Relativity. He lives in Berlin.

Introduction xiii Einstein as a Missionary of Science 1 Einstein's Booklet: Relativity: The Special and the General Theory 7 PART I : The Special Theory of Relativity 1.Physical Meaning of Geometrical Propositions 11 2.The System of Co- ordinates 14 3.Space and Time in Classical Mechanics 18 4.The Galileian System of Co- ordinates 21 5.The Principle of Relativity (in the Restricted Sense) 23 6.The Theorem of the Addition of Velocities Employed in Classical Mechanics 27 7.The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity 28 8.On the Idea of Time in Physics 32 9.The Relativity of Simultaneity 36 10.On the Relativity of the Conception of Distance 39 11.The Lorentz Transformation 41 12.The Behaviour of Measuring- Rods and Clocks in Motion 47 13.Theorem of the Addition of the Velocities. The Experiment of Fizeau 50 14.The Heuristic Value of the Theory of Relativity 54 15.General Results of the Theory 56 16.Experience and the Special Theory of Relativity 62 17.Minkowski's Four- Dimensional Space 68 PART II: The General Theory of Relativity 18.Special and General Principle of Relativity 72 19.The Gravitational Field 76 20.The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity 80 21.In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? 85 22.A Few Inferences from the General Principle of Relativity 88 23.Behaviour of Clocks and Measuring- Rods on a Rotating Body of Reference 93 24.Euclidean and Non- Euclidean Continuum 97 25.Gaussian Co- ordinates 101 26.The Space- Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum 106 27.The Space- Time Continuum of the General Theory of Relativity Is Not a Euclidean Continuum 109 28.Exact Formulation of the General Principle of Relativity 113 29.The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity 117 PART III: Considerations on the Universe as a Whole 30.Cosmological Diffi culties of Newton's Theory 122 31.The Possibility of a "Finite" and Yet "Unbounded" Universe 125 32.The Structure of Space According to the General Theory of Relativity 131 Appendixes 1.Simple Derivation of the Lorentz Transformation (Supplementary to Section 11) (1918) 133 2.Minkowski's Four- Dimensional Space ("World") (Supplementary to Section 17) (1918) 140 3.The Experimental Confi rmation of the General Theory of Relativity (1920) 142 4.The Structure of Space According to the General Theory of Relativity (Supplementary to Section 32) (1946) 153 5.Relativity and the Problem of Space (1953) 155 A Reading Companion: Thirteen Commentaries Physics and Geometry ( 1- 2) 180 Mechanics and Space ( 3- 6) 182 Light Propagation and Time ( 7- 9) 187 Light Propagation and Space ( 10- 12 and Appendix 1) 191 Physics in Relativistic Space and Time ( 13- 16) 193 The World of Four Dimensions ( 17 and Appendix 2) 201 From Special to General Relativity 204 Gravitation and Inertia ( 18- 21) 205 Acceleration, Clocks, and Rods ( 22- 23) 209 Gravitation and Geometry ( 24- 27) 213 Gravitation and General Relativity ( 28- 29) 218 The Challenge of Cosmology ( 30- 32 and Appendix 4) 222 The Relation between Theory and Experiment (Appendix 3) 226 The Changing Concept of Space (Appendix 5) 230 A History and Survey of Foreign-Language Editions The English Translation 244 The French Translation 247 The Italian Translation 252 The Spanish Translation 256 The Russian Translation 259 The Chinese Translation 262 The Japanese Translation 266 The Polish Translation 270 The Czech Translation 273 The Hebrew Translation 276 Concluding Remarks 279 Appended Documents A Letter from Walther Rathenau to Einstein 281 A Sample Page of Einstein's Handwriting 284 Manuscript of Appendix 3 of the Booklet 286 Further Reading 293 Index 297