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Preface | ||
Pt. I | The Special Theory of Relativity | |
1 | Physical Meaning of Geometrical Propositions | 3 |
2 | The System of Co-ordinates | 6 |
3 | Space and Time in Classical Mechanics | 10 |
4 | The Galileian System of Co-ordinates | 12 |
5 | The Principle of Relativity (in the Restricted Sense) | 14 |
6 | The Theorem of the Addition of Velocities Employed in Classical Mechanics | 18 |
7 | The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity | 20 |
8 | On the Idea of Time in Physics | 23 |
9 | The Relativity of Simultaneity | 27 |
10 | On the Relativity of the Conception of Distance | 30 |
11 | The Lorentz Transformation | 32 |
12 | The Behaviour of Measuring-Rods and Clocks in Motion | 37 |
13 | Theorem of the Addition of Velocities. The Experiment of Fizeau | 40 |
14 | The Heuristic Value of the Theory of Relativity | 44 |
15 | General Results of the Theory | 46 |
16 | Experience and the Special Theory of Relativity | 51 |
17 | Minkowski's Four-dimensional Space | 56 |
Pt. II | The General Theory of Relativity | |
18 | Special and General Principle of Relativity | 61 |
19 | The Gravitational Field | 65 |
20 | The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity | 68 |
21 | In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? | 72 |
22 | A Few Inferences from the General Principle of Relativity | 75 |
23 | Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference | 79 |
24 | Euclidean and non-Euclidean Continuum | 83 |
25 | Gaussian Co-ordinates | 87 |
26 | The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum | 91 |
27 | The Space-Time Continuum of the General Theory of Relativity is not a Euclidean Continuum | 94 |
28 | Exact Formulation of the General Principle of Relativity | 97 |
29 | The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity | 100 |
Pt. III | Considerations on the Universe as a Whole | |
30 | Cosmological Difficulties of Newton's Theory | 107 |
31 | The Possibility to a "Finite" and yet "Unbounded" Universe | 110 |
32 | The Structure of Space according to the General Theory of Relativity | 115 |
App. 1 | Simple Derivation of the Lorentz Transformation [Supplementary to Section 11] | 117 |
App. 2 | Minkowski's Four-dimensional Space ("World") [Supplementary to Section 17] | 124 |
App. 3 | The Experimental Confirmation of the General Theory of Relativity | 126 |
App. 4 | The Structure of Space according to the General Theory of Relativity [Supplementary to Section 32] | 136 |
App. 5 | Relativity and the Problem of Space | 139 |
Bibliography | 159 | |
Index | 161 |
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