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Introduction | ||
Relativity : the special and general theory | 1 | |
1 | Physical meaning of geometrical propositions | 5 |
2 | The system of co-ordinates | 9 |
3 | Space and time in classical mechanics | 13 |
4 | The Galileian system of co-ordinates | 16 |
5 | The principle of relativity (in the restricted sense) | 18 |
6 | The theorem of the addition of velocities employed in classical mechanics | 23 |
7 | The apparent incompatibility of the law of propagation of light with the principle of relativity | 25 |
8 | On the idea of time in physics | 29 |
9 | The relativity of simultaneity | 34 |
10 | On the relativity of the conception of distance | 38 |
11 | The Lorentz transformation | 40 |
12 | The behaviour of measuring-rods and clocks in motion | 47 |
13 | Theorem of the addition of velocities : the experiment of Fizeau | 51 |
14 | The heuristic value of the theory of relativity | 56 |
15 | General results of the theory | 58 |
16 | Experience and the special theory of relativity | 65 |
17 | Minkowski's four-dimensional space | 72 |
18 | Special and general principle of relativity | 77 |
19 | The gravitational field | 82 |
20 | The equality of inertial and gravitational mass as an argument for the general postulate of relativity | 86 |
21 | In what respects are the foundations of classical mechanics and of the special theory of relativity unsatisfactory? | 92 |
22 | A few inferences from the general principle of relativity | 95 |
23 | Behaviour of clocks and measuring-rods on a rotating body of reference | 101 |
24 | Euclidean and non-Euclidean continuum | 106 |
25 | Gaussian co-ordinates | 111 |
26 | The space-time continuum of the special theory of relativity considered as a Euclidean continuum | 116 |
27 | The space-time continuum of the general theory of relativity is not a Euclidean continuum | 119 |
28 | Exact formulation of the general principle of relativity | 123 |
29 | The solution of the problem of gravitation on the basis of the general principle of relativity | 127 |
30 | Cosmological difficulties of Newton's theory | 133 |
31 | The possibility of a "finite" and yet "unbounded" universe | 136 |
32 | The structure of space according to the general theory of relativity | 143 |
App. 1 | Simple derivation of the Lorentz transformation | 147 |
App. 2 | Minkowski's four-dimensional space ("world") | 155 |
App. 3 | The experimental confirmation of the general theory of relativity | 158 |
Commentary | 171 | |
The cultural legacy of relativity theory | 225 |
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