216
INDEX
- Eclipse, observations during, 113
- Ehrenfest's paradox, 75
- Electrical theory of inertia, 61
- Electricity and gravitation, 167
- Electromagnetic potentials and forces, 172
- Electron, dimensions of, 177; geometry inside, 91; gravitational mass of, 178; inertia of, 61; Kaufmann's experiment on, 62, 146; singularity in field, 167
- "Elsewhere," 50
- Emptiness, perception of, 190
- Energy, conservation of, 139; identified with mass, 146; inertia of, 61, 146; weight of radio-active, 112
- Entropy, 149
- Eötvös torsion-balance, 112
- Equivalence, Principle of, 76, 131, 212
- Euclidean geometry, 1, 47, 73
- Euclidean space of five dimensions, 84
- Event, definition of, 45, 186
- Evershed, 130
- Extension in four dimensions, 37, 46
- Feeling, elements of, 192
- Fields of force, artificial, 64; due to disturbance of observer, 69; electromagnetic, 171; relativity of, 67
- Field of velocity, 195
- FitzGerald contraction, 19; consequences of, 22; modified by acceleration, 75; relativity explanation of, 54
- Flat space in two dimensions, 80
- Flat space-time, 83; at infinity, 84; conditions for, 89
- Flatfish, analogy of, 95
- Flatland, 57
- Force, compared with inertia, 137; electromagnetic, 172; elementary conception of, 63; fields of, 64; relativity of, 43, 67, 76
- Form contrasted with content, 192, 200
- Formalism of knowledge, 175
- Foucault's pendulum, 152
- Four-dimensional order, 35, 56, 186
- Four-dimensional space-time, geometry of, 45, 82; reality of, 181
- Fourth dimension, 13
- Frame, inertial, 156
- Frames of reference, "right" and "wrong," 42
- Freewill, 51
- Freundlich, 212
- Future, absolute, 50
- Galilean potentials, 83
- Gauge, effect on observations, 31; provided by radius of space, 177
- Gauge-system, 169
- Geodesic, absolute significance of, 70, 150; definition of, 75; motion of particles in, 138, 151; in regions at infinity, 157
- Geodesic structure, absolute character of, 155, 164; acceleration of, 195
- Geometrical conception of the world, 176, 183
- Geometry, Euclidean, 1; hyperbolic, 47; Lobatchewskian, 1, 9; natural, 2; non-Euclidean, or Riemannian, 6, 73, 84, 90; non-Riemannian, 169; semi-Euclidean, 47
- Ghosts of stars, 161
- Globe of water, limit to size of, 148
- Gravitation, Einstein's law of, differential formula, 90; integrated formula for a particle, 97; macroscopic equations, 140, 193
- Gravitation, Newton's law of, ambiguity of, 93; approximation to Einstein's law, 103; deflection of light, 109, 111
- Gravitation, propagation with velocity of light, 94, 147; relativity for uniform motion, 21, 125
- Gravitational field of Sun, 97; deflection of light, 107, 118, 207; displacement of spectral lines, 129; motion of perihelion, 122, 206; Newtonian attraction, 102; result of observational verification, 126
- Grebe and Bachem, 130
- Greenwich, Royal Observatory, 114
- Gyro-compass, 152
- Hummock in space-time, 97
- Hurdles, analogy of counts of, 104
- Hyperbolic geometry, 47
