| Preface by the Rt. Hon. Viscount Haldane, O.M. | [pp. 5-8] |
| Introduction | [pp. 13-15] |
CHAPTER I THE METAMORPHOSES OF SPACE AND TIME |
Removing the mathematical difficulties—The pillars of knowledge—Absolute time and space, from Aristotle to Newton—Relative time and space, from Epicurus to Poincaré and Einstein— Classical Relativity—Antinomy of stellar aberration and the Michelson experiment | [pp. 17-31] |
CHAPTER II SCIENCE IN A NO-THOROUGHFARE |
Scientific truth and mathematics—The precise function of Einstein—Michelson’s experiment, the Gordian knot of science—The hesitations of Poincaré—The strange, but necessary, Fitzgerald-Lorentz hypothesis—The contraction of moving bodies—Philosophical and physical difficulties | [pp. 32-52] |
CHAPTER III EINSTEIN’S SOLUTION |
Provisional rejection of ether—Relativist interpretation of Michelson’s experiment—New aspect of the speed of light—Explanation of the contraction of moving bodies—Time and the four dimensions of space—Einstein’s “Interval” the only material reality | [pp. 53-72] |
CHAPTER IV EINSTEIN’S MECHANICS |
The mechanical foundation of all the sciences— Ascending the stream of time—The speed of light an impassable limit—The addition of speeds and Fizeau’s experiment—Variability of mass— The ballistics of electrons—Gravitation and light as atomic microcosms—Matter and energy— The death of the sun | [pp. 73-100] |
CHAPTER V GENERALISED RELATIVITY |
Weight and inertia—Ambiguity of the Newtonian law—Equivalence of gravitation and accelerated movement—Jules Verne’s projectile and the principle of inertia—Why rays of light are subject to gravitation—How light from the stars is weighed—An eclipse as a source of light | [pp. 101-123] |
CHAPTER VI THE NEW CONCEPTION OF GRAVITATION |
Geometry and reality—Euclid’s geometry and others—Contingency of Poincaré’s criterion— The real universe is not Euclidean but Riemannian— The avatars of the number π—The point of view of the drunken man—Straight and geodetic lines—The new law of universal attraction—Explanation of the anomaly of the planet Mercury—Einstein’s theory of gravitation | [pp. 124-147] |
CHAPTER VII IS THE UNIVERSE INFINITE? |
Kant and the number of the stars—Extinct stars and dark nebulæ—Extent and aspect of the astronomical universe—Different kinds of universes—Poincaré’s calculation—Physical definition of the infinite— The infinite and the unlimited—Stability and curvature of cosmic space-time—Real and virtual stars—Diameter of the Einsteinian universe— The hypothesis of globes of ether | [pp. 148-159] |
CHAPTER VIII SCIENCE AND REALITY |
The Einsteinian absolute—Revelation by science— Discussion of the experimental bases of Relativity— Other possible explanations—Arguments in favour of Lorentz’s real contraction—Newtonian space may be distinct from absolute space—The real is a privileged form of the possible—Two attitudes in face of the unknown | [pp. 160-172] |
CHAPTER IX EINSTEIN OR NEWTON? |
Recent discussion of Relativism at the Academy of Sciences—Traces of the privileged space of Newton—The principle of causality, the basis of science—Examination of M. Painlevé’s objections—Newtonian arguments and Relativist replies—M. Painlevé’s formulas of gravitation—Fecundity of Einstein’s theory— Two conceptions of the world—Conclusion | [pp. 173-185] |