Maxwell's equations, satisfied by duality-rotated field 91
Maxwell's equations, state exterior derivative of field vanishes 264
Maxwell's equations, state field form and its dual one closed 274
Maxwell's equations, trace of, on a spacelike surface 285—287
Maxwell's letter on Newton's views 235
Maxwell, J.C. xii 81 226 230 232 236 237
McGuire, A.D. 1 n 106
Mckerson, H.K. xv
McMillan, E. 29
McVittie, G. xiv 46
Mean free path of neutrinos 128
Mercury atom, and wave length standard 9
Mercury, perihelion precession of 46
Merrifield, R.E. 79 n
Meson field 68
Meson,  1
Meson,  1
Meson, K 1
Metallic lattice dimension 9
Meteorite impact as source of gravitational radiation 114
Meter, alternative definitions of 9—10
Meter, geometrodynamical standard for 10—12
Metric tensor, determinant of 15
Metric tensor, reciprocal of 15
Metric, role of, in Maxwell's equations 280
Metric, singularities in, as one model used, for mass 25
Metric-free character of part of information in Maxwell's equations 275
Metropolis, N. 122
Michel, L. 182 n
Milnor, J. 258 n
Minimal surface 62
Minimal surfaces, theory of, analogy to relativity 51 52 63
Minkowski frame see also "Lorentz frame"
Minkowski frame, special, Maxwell's equations in 250—253
Minkowski frame, special, Ricci curvature in 245
Minkowski metric 237 239
Misner, C.W. xi—xiii xv 8 9 17 20 22 36 43 44 49 50 75 94 225 226 307
Mitter, H. 80 n
Mjolsness, K. 62 n
Mode, quenching of one, in thermal geon 206—212
Modes of electromagnetic oscillation, two types of, in thermal geon 190 196—200
Moller, C. xiv 256
Momentum, as feature of one-surface formulation of particle and field dynamics 42—43
Montaldi, E. 90 n
Moore, J.H. 46 n
Morse, M. 187 n
Mossbauer effect, used to measure gravitational red shift 46
Motion, geodesic equation of, as derived from Einstein's field equations 15 133—134 302
Motte 235 n
Multiple connectedness xiii
Multiple connectedness, associated with quantum fluctuations in geometry 72 73 75—83
Multiple connectivity and the wormhole picture of charge 183—184
Multiple connectivity and the wormhole picture of charge, topological, and consequences for description of electric charge 49 50
Multiply connected manifold xii
Multiply connected space, conditions imposed upon complexion in 253
Nearby, as used in topology 255—256
Negative energy states, sea of, change in level of 121—127
Neuman, M. 140 n
Neutrino xv 6
Neutrino field 68
Neutrino field, Fermi energy of, effect on nucleon equilibrium 127
Neutrino field, Fermi — Dirac character of 91
Neutrino field, normal modes of 96
Neutrino field, space-like description of 102
Neutrino field, space-like representation of quantum state of 96
Neutrino interaction processes 103—110
Neutrino interaction processes, table of estimated cross sections for 108
Neutrino interactions, in geon, analyzed by dispersion relation 179—180
Neutrino interactions, weakness of, absence of explanation for 128
Neutrino scattering, and absorption, experiments on 105—109
Neutrino scattering, by electron 7
Neutrino scattering, by neutrino 6
Neutrino states, occupation number of 3
Neutrino theory and multiple connectivity 83
Neutrino theory of light 89
Neutrino theory of light, problems of 181
Neutrino wave equation, satisfied by duality-rotated spinor field 91
Neutrino, 2-component equation for, in curved space 95
Neutrino, absence of obvious place for in scheme of geometrodynamics 129
Neutrino, and antineutrino fluxes, table of 107
Neutrino, as foreign field in arena of space-time 95
Neutrino, response of, to gravitational field of large scale 111
Neutrino, scattering of, by electron 7
Neutrinos xiii 1—8
Neutrinos, as ineffective intermediary for production of other couplings 89—90
Neutrinos, contribution of, to density of mass-energy in universe 116—117
Neutrinos, energy density of 4
Neutrinos, equilibrium distribution, Fermi energy associated with 3 5 6
Neutrinos, equilibrium in emission and absorption of 3 5 6
Neutrinos, in constitution of geon 140 n
Neutrinos, interaction of, in neutrino geon 179—181
Neutrinos, opacity of matter to 127—128
Neutrinos, pairs of, produced by gravitons 109—110
Neutrinos, search for a geometric description of 88—96
Neutrinos, search for a space-like description of 96—103
Neutron gas, gravitational equilibrium of 123 124
Neutron-proton equilibrium, in cold massive star 122
Newton — Maxwell scheme of physics, satisfied by geons in slowly varying fields 30
Newton, I., letter of, to Bentley 235
Newtonian force law, from field theory 301—302
Newtonian gravitational potential 199
Nikhilanda, S. 236 n
Non-classical two-valuedness, Pauli's term for spin 88 93 94
Non-linear couplings between photons, two kinds of, contrasted 169
Non-linear field theory of Ivanenko and Heisenberg 80
Non-linearities, in the neutrino field 6
Non-linearity, as doubtful desiratum 80
Non-linearity, of Einstein's field equations see "Einstein's field equations non-linearity
Non-Riemannian geometry xi
Nordstrom — Reissner solution 294 296—300
Nordstrom, K. 82 118 189 237
Normal modes, failure to find in geometrodynamics 64 66
Notman, D. xvi
Nuclear density, larger than density of geon 138
Nuclear matter, in big A problem 122—127
Nuclear reactor, as source of neutrinos 105—109
Nuclei, densities of, small compared to energy density in vacuum 129
Nucleons, law of conservation of 130
Nucleons, law of conservation of, and difficulty of the big A problem 121—127
Nucleons, question of conservation of 6
Null geodesies, in thermal geon (diagram) 191 196—200
Null tensor, special case of stress-energy tensor 246—249
Nullfield case of already unified theory 303
Observational tests of general relativity, as related to Schwarzschild geometry 46
Observational tests of general relativity, question of position of Hubble expansion among 59
Observational tests of general relativity, unaffected in source-free case by singularity developing at Schwarzschild throat 65
Occupation numbers, for neutrino states 3
Occupation numbers, for photon states 4
One-surface formulation of conditions sufficient to fix a history of electromagnetism or geometrodynamics see "Initial value data"
Opacity, of matter to neutrinos 4
Operator formalism, contrasted with c-number formalism 84—87
Oppenheimer, J.R. 121 n 123 124 128
Orientable and non-orientable manifolds contrasted 272
Oscillator, fluctuation in coordinate of 73
Oscillators, electromagnetic field 32
Otto, F.A. xvi
Outgoing wave, gives same geon structure as standing wave 152
Oveden, M.W. 46 n
Overcomplete family of states 97—102
Packing fraction, and big A problem 122
Pair creation, as limit to smallness of thermal geons 193
Pair production, critical electric field for, compared to fields in geon 28
Pair production, in geon, when field exceeds critical value 138
Pair production, in neutrino-neutrino collision 103—104
Pair production, in photon-photon collision 103
Pair, electron, production of by gravitons 6
Pair, neutrino, production of by gravitons 6
Pair, production of, by neutrinos 6
Pais, A. 70 n
Papakyriakopoulos, C.D. 244
| Parity inversion 130
Parity non conservation xiii
Parity, correlation of spin with 94
Particle vs. field, distinction 2
Particle, distinguished from concept of body in general relativity 133
Patrizzi, F. 236 n
Pauli's non-orientable manifold 94
Pauli's non-orientable manifold, orientable manifold 94
Pauli's non-orientable manifold, torsion, topological 94
Pauli's non-orientable manifold, two-component equation for neutrino 95
Pauli's non-orientable manifold, wormhole, valuedness associated with 93—94
Pauli, W. xiv xv 79 88 90 93 227 305
Penrose, R. 22 n 63 92 305
Perihelion precession, observation vs. prediction 46 47
Period, as value of integral over surface of a given homology class 274
Pfaffian derivatives 261
Phenomenological approach to elementary particle problem 78
Philips, T. 130
Phonon as example of collective disturbance 79
Phonons, as guide to consideration of collective phenomena in vacum 129
Photon orbits, in geon (diagram) 26
Photon, as means to study expansion of universe 59—61
Photon-photon collisions, as mechanism for escape of energy from thermal geon 218—220
Physics as geometry 8
Physics as geometry, earlier views on 235—236
Piir, I. 109 n
Planck, M. 120
Plass, G.N. 131 n
Plateau, problem of 52
Plebanski, J. xv 24 133
Poincare, H. 70 n 71
Point sets 255
Points, distinguishability of, regarded as problematical 24
Polarization, number of states of, for gravitational waves 44
Polarization, of a transverse vector in 3-space 289
Polkinghorne, J.C. 83
Pollock, F. 235 n
Polvani, G. xi xv 130
Pontecorvo, B. 108
Pontrjagin, L. 255 n
Popper, D.M. 46 n
Positive electron 6
Potential barrier for alpha decay, analogy in geon 26 27
Potential difference, characteristic, as relevant to properties of geon 143
Potential energy, analog of, in dynamics of universe 60 61 64
Potential, four-potential, and absence of magnetic charge 274
Potential, four-potential, as way to satisfy four of Maxwell's equations 264
Potential, super-potential, question of existence of, for initial value problem 306
Pound, R.V. 46 n
Power, E. 301 306
Power, E.A. xv 69 186
Poynting flux 15 16
Poynting flux, in initial value equation of geometrodynamics 33
Poynting flux, relation to stress-energy tensor in null case 247
Poynting flux, term in initial value equations of geometrodynamics 295
Poynting vector, in one mode of spherical geon 150
Precession of perihelion, observation vs. prediction 46
Pressure, as affecting expansion and recontraction of universe 60 61
Pressure, infinite, at center of critical mass 120—127
Prison not a prison when built around mouth of wormhole 50
Probability amplitude, as functional of electromagnetic field 7
Product manifold, defined 257
Product, exterior, defined 261—262
Projection from 4-space time onto 3-space, application to electromagnetism 31
Projection, or trace, of 4-space on 3-space 284—287
Projective 3-space built from Schwarzschild solution 300
Projective n-space 256
Projective plane, as example of non-orientable manifold 272
Propagator, for Fermi — Dirac field 98—102
Propagator, in method of sum over histories 84—87
Properly closed space 94
Properly closed space, question of unique quantum state in 75
Proton-proton reaction, irrelevant for big A problem 125
Proton-proton reaction, neutrinos produced in 107
Pryce, M.H.L. 89 n 181 182
Pseudophoton 221—224
Puppi, G. 105 n
Putnam, J.B. xvi
Pythagorean theorem, in example of 2-space 34
Quantization of general relativity, and question of singularities 66—68 71 75—83
Quantization of general relativity, problem of 184
Quantization of motion of electron and issue of singularities 67 68
Quantum electrodynamics, "dressed" and "undressed" charge in 233
Quantum electrodynamics, vacuum fluctuation predicted by 69—71 76 77
Quantum geometrodynamics, as worth investigation 234
Quantum geometrodynamics, characteristic length associated with 67 71 72 76
Quantum mechanics, formulated in terms of Feynman's sum over histories, topological aspect of 83—87
Quantum numbers, of field oscillators 7
Quantum physics, distinguished from classical physics 226
Quantum theory see also "Wave function"
Quasi Euclidean character of space at great distances see "Asymptotic flatness"
Radiactive decay, alpha and geon, compared 143—144 163—164
Radiation reaction, gravitational, expression for force of unknown 188
Radiation, electromagnetic, emitted by spiralling electron 66
Radiation, leakage out of geon (diagram) 26
Radiation, rate of, gravitational and electromagnetic, compared 111—113
Radiation-filled universe 60—62
Radiation-filled universe, Tolman's model of 116 118
Radicati, L. 130
Radiotelescope, to test for minimum angular diameter of galaxies 118—119
Radius, of cold dense star, vs. central density 125 (diagram)
Radius, of curvature of universe 59—61 67
Rainich conditions 244
Rainich conditions, and two-bladed structure 249
Rainich conditions, briefly summarized 253
Rainich — Misner case of Riemannian geometry xii
Rainich — Riemann geometry, as equivalent to Einstein — Maxwell equations 253
Rainich, G.Y. xii 9 17 20 228 230 236 237 242
Raychaudhuri, A. 53 n 286
Rayleigh 189 n
Rayleigh — Taylor instability 69
Rayleigh's scattering formula 176
Reactor, nuclear, as source of neutrinos 105—109
Reality conditions, in solution to problem of minimal surface 52
Rebka, J.A., jr. 46 n
Red shift 10
Red shift, correlation of, with angular diameter of galaxy 118—119 130
Red shift, gravitational, observation vs. prediction 46 47
Refractive index barrier, for electromagnetic waves, in geon 26 27
Refractive index, effective, in geon 143 163 167 173—174 179 181
Refractive index, inhomogeneities in, in acoustics and geometrodynamics 115 130
Regge, T. 188 n
Reich, D. 17 n
Reines, F. 1 n 6 106 127 128 179
Reissner — Nordstrom solution 294 296—300
Reissner, H. 82 188 189 237
Relativity, general xv
Relativity, unexplored features of, related to hydrodynamics (table) 187—189
Renormalization of charge and mass 70
Representations, alternative, of state of electromagnetic field 7 8
Rest energy, analog of, in dynamics of universe 60 61 64
Ricci curvature tensor 15 18 227 229 245 247
Ricci curvature tensor, and two-bladed structure 249—253
Ricci curvature tensor, as connected with electromagnetic field, in a Minkowski frame 238
Ricci curvature tensor, conditions on, in null case 303
Ricci curvature tensor, number of parameters associated with 244
Riemann curvature tensor 227
Riemann curvature tensor, Ricci part of 245
Riemann, B. 8 12 129 231 235
Riemannian geometries, partial physical classification of 244
Riemannian geometry xiv
Riemannian geometry, modifications of, rejected 234
Riemannian manifold xi
Riemannian manifold, scope of 83
Riemannian surface, in theory of complex variables, as relevant to problem of minimal surface 52
Riesz, Marcel 91 92 178 283
Ritz, W. 217
Robinson, I. 63
Rods, measuring, atomic constitution of 10
Rods, measuring, in general relativity 9
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