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| Wheeler J.A. — Topics of modern physics. Vol. I. Geometrodynamics |
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| Предметный указатель |
Rohrlich, F. 227 n
Ronzio, A.R. 106 n
Rosen, N. 47 n 48 63 82 232 297
Rosenbluth, M.N. 105 n
Rosenfeld, L. 76 n 137
Rotation group, topology of 92—93
Rotation, local, described by spinor 91—93
Rowland, H.A. 232 n
Rudkjobing 121 n
Runge 215
Salam, A. 91 n
Sandage, A. 10 n
Sankaracharya 236 n
Sastri, A.M. 236 n
Savannah River neutrino experiments 106—109
Sayana 236 n
Scaling law for geons 135 155 157—158
Scarf, F.L. 96 n
Scattering, of light by light 103
Scattering, of light by light, in small dense geon 140 174—178
Scattering, of neutrino by neutrino 104
Scheffers, G. 306 n
Schild, A. 24 n 133 302
Schiller, R. 91 n
Schlieder, S. 80 n
Schoenberg, M. 4 n 127
Schouten, J.A. 243 307
Schroedinger equation 85
Schroedinger, E. 216
Schucking 114
Schwarzschild geometry 64
Schwarzschild geometry, approximation to, around well separated mouths of uncharged wormhole 49
Schwarzschild geometry, as a tool in building solutions 188
Schwarzschild geometry, interior vs. exterior solution 47
Schwarzschild geometry, intrinsic singularity in, after finite proper time 53
Schwarzschild geometry, non-Euclidean topology of 47 48
Schwarzschild geometry, stability of 189
Schwarzschild metric, in spherical geon 150
Schwarzschild metric, maximal extension of 47 48
Schwarzschild metric, maximal extension of, diagram for 45
Schwarzschild radius 121
Schwarzschild throat 64—66
Schwarzschild, K., solution 294 296—300
Schwarzschild, M. 46 n 115
Schwinger, J. 70 n
Scintillations and irregularities in refractive index or curvature of space 115 130
Secondary and derived concepts, need of, in geometrodynamics 189
Seifert, H. xiv 268
Serber, R. 121 n
Serre, J.P. 268 n
Shadow zone, in geodesic charting of Schwarzschild geometry 65
Sharp, D.H. 22 n 36 43 44 130 306
Shock waves 69
Shock waves, geometrodynamic analog of 188
Signature, and relation between exterior product and scalar product 281
Simon, W.O. xvi
Singularities in geometry, and issue of quantization 66—68 71
Singularities in geometry, intrinsic vs. apparent 47
Singularities, exclusion of, in pure geometrodynamics 259
Singularity in intrinsic geometry for closed space with moment of time symmetry 57
Singularity in metric, difficulty with, as model for body 133
Singularity, in geometry, always after finite proper time, conjectured 61—64
Singularity, intrinsic, in geometry of Schwarzschild metric 45
Singularity, intrinsic, in Schwarzschild geometry after finite proper time 53
Singularity, intrinsic, vs. apparent, in geometry studied via geodesic coordinates 53
Singularity-free character of time-symmetric gravitational waves of less than critical strength 57 58
Sirius B, red shift caused by 46
Skeleton history 85—86
Skeleton history, of Fermi-Dirac degree of freedom 98
Slip stream 188
Smith, J.W. 244
Snyder, H. 121 n
Soap film see "Minimal surface problem"
Sokolov, A. 80 n 89 109 181
Solution of equations of geometrodynamics and Lie groups 306
Sound, generation of, by turbulence 69
Space theory of matter, Clifford's 235
Space, as material of construction 8
Space, closure of, by sufficient density of mass-energy 117
Space, irregularly curved, focussing properties of 115 130
Space, properly closed, question of unique quantum state in 75
Space-time, arena and building material concepts of, contrasted 68
Space-time, arena vs. everything concepts of, and today's compromise between 234
Space-time, as arena 225
Space-time, as building material 226
Space-time, concept, scope of 83
Space-time, curvature of 10—12
Space-time, structure law of see "Structure law"
Spacelike description, of electromagnetic field 7 8
Spacelike description, of neutrino field 8
Spacelike hypersurfaces, in formulation of boundary value data 42—44
Spacelike surface, in electromagnetism 31
Specificity, in interaction of geons 178
Specificity, of connection between one charge and another, contrast between classical and quantum pictures of 50
Spencer, D.C. xv 307
Sphere, n-dimensional 256 258
Sphere, pierced 256—258
Sphere, pierced, example of charge in 276—277
Spherical harmonics, expansion of hydrodynamic potential and metric in terms of 188
Spherical symmetry, necessary lack of, in gravitational and electromagnetic waves 57
Spin, and multiple connectivity 83
Spin, correlation of parity with 94
Spin, half-integral, search for a geometric reason for 88—96
Spin, not included in classical theory 234
Spin-waves 79
Spinor as square root of vector 90—91
Spinor field 8
Spinor field, covariant derivative of 96
Spinor fields, half-integral, search for a geometric reason for 88—96
Spinor fields, problem of relation to general relativity 184
Spinors, geometric function of 91—93
Square root, as process to go to field of lower spin 90
St. John, C.E. 46 n
Stability analysis, in hydrodynamics and geometrodynamics, parallelism between 189
Stability, of system of charged particles 66 67
Star 4—6
Star, dense, explosion of 125—126
Star, explosion of, gravitational radiation caused by 113—114
Star, internal structure of cold dense 121—127
Stars, as source of neutrinos 107
Steenrod, N.E. xv 268
Stellar matter 4—6
Stellmacher, K. 298 n
Stephen, L. 235 n
Stokes, G.G. 255
Stokes, theorem of 268 272—275 282
Strength, of gravitational wave, critical 56 57
Stress-energy tensor, as Maxwell square of electromagnetic field 242
Stress-energy tensor, diagonalization of, in null case, impossibility of 247—248
Stress-energy tensor, in thermal geon, detailed expression for 212
Stress-energy tensor, of electromagnetic field 227 243
Stress-energy tensor, of electromagnetism 132—133
Stress-energy tensor, of Maxwell 15 16
Stress-energy tensor, of neutrino field 178
Stress-energy tensor, produced by bundle of trapped radiation 199 206—212 see
Structure law of space-time 20 21 24 35
Structure law of space-time, Sharp variational principle for 22
Sudarshan, E.C.G. 105 n
Sugawara-no-Michizane 131 n
Sum over histories, Feynman's, and quantum fluctuations in geometry 183—184
Sum over histories, method of quantization by, extended to Fermi field 97—102
Sum over histories, topological aspects of 83—87
Sun, as source of neutrinos 107
Sun, compared to smallest classical geons 139
Sun, deflects light, observation 46 47
Sun, mass of, compared to critical mass in big A problem 5
Sun, mass, radius and density of, compared to corresponding quantities for geon 28
Sun, radius of, compared to mean free path of neutrinos 128
Sunyar, A.W. 117 n
Super-masses 6
| Supernovae 5
Surface tension, effect of on wave crest 67 68
Symanzik, K. 97 n
Symmetric rotator, and transformation under rotation of coordinates 92
Symmetry properties of elementary particles, and multiple connectivity 83
Synge, J.L. xiv 17 91 222 228 232 297
Takabayasi, T. 91 n
Takeno, H. 63
Taub, A.H. 188 n
Tauber, G.E. 121 n 142
Telegdi, V. 113
Telescope, radio, to test for minimum angular diameter of galaxies 118—119
Teller, E. 90 n 119 122
Temperature, as characteristic of neutrino equilibrium 4—6
Temperature, Einstein's "wahre" vs. Ehrenfest's "Taschen-" 199
Tensions, required for electron stability, according to Poincare 70 71
Tensor analysis xiv
Tensor analysis, contrasted with intrinsic description of vectors and tensors 259—260
Tensor field, differentiate, definition of 260
Test particle, used to explore Schwarzschild geometry 65
Test particles, as one of tools for measuring interval 10—12
Test particles, used to follow evolution of geometry in time until they cross 53
Test particles, used to study gravitational wave 58
Theory of geometrodynamics 63
Thermal geon, photon-photon collisions in 218—220 see thermal"
Thermal geon, trapped and untrapped modes of electromagnetic oscillation in 190 196—200
Thermonuclear evolution, end point of 5
Thermonuclear reaction, end point of 120—127
Thirring, W. 70 n 78
Thomas, T.Y. 187 n
Thorn, Rene 44
Threlfall, W. xiv 268
Throat joining two nearly Euclidean regions of space, for Schwarzschild metric 45
Time symmetry and dynamics of universe 62
Time, as a length 13
Time, infinitely different scales of, on different world lines 65—66
Time-symmetric waves, electromagnetic 54 55 57
Time-symmetric waves, gravitational 54—58 63
Time-symmetric waves, gravitational, initial value data for 54—57
Tiomno, J. 91 n 105
Toll, J.S. 103 n 140
Tolman's model of radiation-filled universe 116 118
Tolman's radiation-filled model for universe 60—62
Tolman, R.C. xiv 140 199 211 212
Tomonaga, S. 70 n
Topological description of charge xii
topology xiv
Topology, as having precedence over coordinates and metric 254—255
Topology, changes in, as time advances 306
Topology, freedom in choice of 44
Topology, infinitely ramified 73
Topology, infinitely ramified, discussed by Weyl 231
Topology, multiply connected 231 232
Topology, multiply connected, associated with quantum fluctuations 72 73 75—83
Topology, non-Euclidean, of Schwarzschild geometry 47 48
Topology, of Feyman's sum over histories 83—87
Topology, of properly closed space 63 64
Topology, of Schwarzschild metric 45
Topology, survey of certain aspects of 254 258
Topology, toroidal geon see "Geon toroidal"
Torus, example of charge in 277
Torus, n-dimensional 256—257
Torus, two-dimensional, Betti numbers of 271
Touschek, B.F. 91 n
Trace, or projection, of 4-space on 3-space 284—287
Transmutation physics, model for in geon transformations 30
Transverse field 289—291
Triangle diagram for Fermi coupling processes 105
Trivial solution of Einstein's field equations given by flat space-time 53
Trotter, H. 307
Tucker, R. 235 n
Turbulence 69 188
Two-body problem in general relativity, as example of problem of pure geometrodynamics 49
Two-body problem in general relativity, lack of uniqueness in 49
Two-body problem in general relativity, wormhole model for 49
Two-surface formulation, in geometrodynamics, freedom of choice of topology in 44
Two-surface formulation, in thin sandwich limit 42 43
Two-surface formulation, of conditions sufficient to fix a history, for mechanics, electromagnetism and geometrodynamics 38—39
Undersea bubble, analogous to universe in its dynamics 61—63
Unified field theories which give up Riemann's hypothesis 21
Unified field theory, difficulty presented by 131
Units, of length, mass, time, electricity 302—303
Units, of time and mass, regarded as measures of length 13
Universal wave function, question of 75
Universe, age of 116
Universe, closure of, Einstein's arguments for 58 59
Universe, density of known and possible sources of mass-energy in 116 (diagram) 117
Universe, dust-filled model of Friedmann for 60—62
Universe, expansion and recontraction of 46 58—64
Universe, expansion of 10
Universe, explosion and reimplosion of, as accompanied by gravitational radiation 114—117
Universe, gravitational tensions in 71
Universe, large mass not cut off from 121
Universe, radiation-filled model of Tolman for 60—62
Universe, spherically symmetric closed model for 59—61
Upanishads 236 n
URCA process 4 5 128
URCA process, as source of neutrinos 107
Vacuum as seat of fluctuations 69—72 75—83
Vacuum physics xiii 6
Vacuum physics, richness of 83 103 129
Vacuum state see "Ground state"
Vacuum, violent character of 78—83
van Biesbroek, G. 46 n
Varenna xi
Variational principle, as related to two-surface formulation 42
Variational principle, for Reinich — Riemann geometry, not known 253 see
Variational principle, for thermal geon 216—218
Variational principle, Sharp's for already unified field theory 22
Varieties see "Manifolds"
Vayu 236 n
Vector fields, in compast 3-space, classification of (table) 289
Vedas 236 n
Venus, perihelion precession of 46
Vernon, H.C. xvi
Vilain, J. 182 n
Villa Monastero xi xv
Virtual pairs and virtual photons 70
Volkoff, G. 121 n 123 124 128
Vortex ring, analogy to geon 188
Vortices 69 see
Wagner, J.J. 1 n 107
Wakano, M. 5 118 121 123—125 128
Wave function, for geometrodynamics 73
Wave function, for particle, electromagnetic field and relativity, compared 44
Wave functional, as defined for all topologies 44
Wave number space 32
Wave on water, eventual singularity at crest of 67 68 72
Wave packets, motion of, as related to geodesies 221—224
Waves, gravitational xv
Weak interactions 6 79
Weber, J. xv 58 113 231
Weinberg, J.W. 121 n
Weisskopf, V.F. xv 11 176
Welton, T. 69 n
Wende, C. xvi
Weyl, H. xiv 73 231 305
Weymann, B. 123 124
Wheeler, J.A. xv 4 5 9 17 20 32 47 50 58 62 69 75 89 91 96 102 105 109 110 117 118 121 131 140 176 186 188 219 225 226 232 300 301 306 307
White dwarf stars, opacity of, to neutrinos 128
Whittaker, E. 91 n
Wightman, A.S. 181 n 182
Wigner, E.P. 93 n 182
Willey, R. 117 n
Williams, R.W. 182 n
Without: gravitation without gravitation, etc. 234
Witten, L. 22 305
Wollan, E.O. 105 n
World lines, intersection of 10—12
Wormhole 231 232
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