| Introduction by Roger Penrose |
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ix | |
| Note on the Text |
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xxvii | |
| Relativity: The Special and General Theory |
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1 | (2) |
| Preface |
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3 | (2) |
| PART I THE SPECIAL THEORY OF RELATIVITY |
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1. Physical Meaning of Geometrical Propositions |
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5 | (4) |
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2. The System of Co-ordinates |
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9 | (4) |
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3. Space and Time in Classical Mechanics |
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13 | (3) |
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4. The Galileian System of Co-ordinates |
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16 | (2) |
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5. The Principle of Relativity (In the Restricted Sense) |
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18 | (5) |
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6. The Theorem of the Addition of Velocities Employed in Classical Mechanics |
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23 | (2) |
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7. The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity |
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25 | (4) |
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8. On the Idea of Time in Physics |
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29 | (5) |
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9. The Relativity of Simultaneity |
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34 | (4) |
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10. On the Relativity of the Conception of Distance |
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38 | (2) |
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11. The Lorentz Transformation |
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40 | (7) |
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12. The Behaviour of Measuring-Rods and Clocks in Motion |
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47 | (4) |
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13. Theorem of the Addition of Velocities. The Experiment of Fizeau |
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51 | (5) |
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14. The Heuristic Value of the Theory of Relativity |
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56 | (2) |
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15. General Results of the Theory |
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58 | (7) |
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16. Experience and the Special Theory of Relativity |
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65 | (7) |
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17. Minkowski's Four-Dimensional Space |
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72 | (5) |
| PART II THE GENERAL THEORY OF RELATIVITY |
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18. Special and General Principle of Relativity |
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77 | (5) |
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19. The Gravitational Field |
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82 | (4) |
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20. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity |
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86 | (6) |
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21. In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? |
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92 | (3) |
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22. A Few Inferences from the General Principle of Relativity |
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95 | (6) |
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23. Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference |
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101 | (5) |
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24. Euclidean and Non-Euclidean Continuum |
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106 | (5) |
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25. Gaussian Co-ordinates |
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111 | (5) |
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26. The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum |
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116 | (3) |
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27. The Space-Time Continuum of the General Theory of Relativity Is Not a Euclidean Continuum |
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119 | (4) |
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28. Exact Formulation of the General Principle of Relativity |
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123 | (4) |
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29. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity |
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127 | (6) |
| PART III CONSIDERATIONS ON THE UNIVERSE AS A WHOLE |
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30. Cosmological Difficulties of Newton's Theory |
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133 | (3) |
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31. The Possibility of a "Finite" and Yet "Unbounded" Universe |
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136 | (7) |
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32. The Structure of Space According to the General Theory of Relativity |
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143 | (4) |
| APPENDIXES |
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1. Simple Derivation of the Lorentz Transformation |
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147 | (8) |
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2. Minkowski's Four-Dimensional Space ("World") |
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155 | (3) |
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3. The Experimental Confirmation of the General Theory of Relativity |
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158 | (13) |
| Commentary by Robert Geroch |
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171 | (54) |
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171 | (8) |
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The Principle of Relativity |
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179 | (4) |
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183 | (5) |
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188 | (3) |
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191 | (4) |
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The Conversion of Energy to Mass |
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195 | (6) |
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201 | (4) |
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Inertial and Gravitational Mass |
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205 | (3) |
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208 | (3) |
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Space-Time and General Relativity |
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211 | (6) |
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Special Relativity and General Relativity |
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217 | (3) |
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220 | (5) |
| The Cultural Legacy of Relativity Theory by David C. Cassidy |
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225 | (22) |
| Bibliography |
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247 | (4) |
| Index |
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251 | |
