"Maxwell square root", of Ricci tensor 90
"Maxwell square root", of stress-energy tensor 228 245—249
"Maxwell square" of electromagnetic field 239 240 242
 -meson 6 79 103—105
3-geometry, as argument of state functional for geometrodynamics 75 81
3-geometry, as carrier of information about time 36—39 43 44
3-geometry, conceived as a coordinate-free concept 35
3-geometry, plus extrinsic curvature as initial value data, case of time symmetric gravitational wave 54
3-sphere, type of topology 92
3-surface, as relevant to initial value conditions see "Initial value conditions"
3-surface, as testing ground to determine whether 4-geometry satisfies Einstein's field equations 51
3-surface, initial, as launching platform for orthogonal geodesies which eventually cross 53
3-surfaces, family of geodesically parallel 53
4-geometry, found from Einstein's field equations 35—40
4-manifold, bounded in space, as model of universe 59
40 Eri B, gravitational red shift caused by 46
Abrikosov, A.A. 79 n
Accelerated source, fields produced by, electromagnetic and gravitational 111—114
Accelerators, as source of neutrinos 107
Achieser, A. 103 n 140
Acoustical images, multiple, and analogous effect in curved space 115 130
Action option, relevant to distinction between Fermi — Dirac and Einstein — Bose statistics 101 102
Action principle, for general relativity plus electromagnetism 134
Action, change of, as geon leaks energy 146
Action, classical, role of in method of sum over histories 84
Adams, J.B. 62 n
Adams, Miss 46 n
Adiabatic equation of state, in expansion of universe 60
Adiabatic in variance, principle of, applied to change of modes of oscillation of electromagnetic field in slowly changing metric 208—211
Air line distances, table of as illustrative of general relativity 12
Airy function, in analysis of simple spherical geon 159
Akasa 236 n
Aleksandrov, P.S. 255 n
Alexandroff, P. xiv
Algebraic curve, used in construction of minimal surface 52
Allen, J.S. 107 n 111
Alpha particle decay, as related to leakage out of geon 26 27
Alpha particle reactions, irrelevant for big A problem 125
Already unified field theory xii 9 16 20 21 228—231 237—253
Already unified field theory, as example of taking square root 90
Already unified field theory, assessed 24
Already unified field theory, case of region where complexion is not defined 22 23
Already unified field theory, defined 230
Alvarez, L. 108
Anderson, J. 184 n
Anticommuting c-numbers, avoidability of 97—102
Antineutrino 3 5 6
Aperture, of lens for electromagnetic radiation 57
Araki, H. 55 n
Arena concept of space time 8 68 225
Arnowitt, R. xv
Asymptotic approach to Schwarzschildean character 56
Asymptotic flatness, of universe, regarded by Einstein less simple than closure 58 59
Asymptotic flatness, without singularity 63
Atoms, identity of, after following different routes 13
Attrition, of geon 144 163—168
Attritivity, of geon 145
Auslander, L. 244
Automobile fender, comparison of 4-manifold with 35 36 41
Axially symmetric, as subclass of time symmetric gravitational waves 55
Babcock, D. xvi
Bach, R. 305 n
Bacher, R.F. 89 n
Background fields, as relevant to motion of geon 29 30
Background fields, in theory of motion 134
Bade, W.L. 96 n
Bargmann, V. 17 n 96 97 228 248 306 307
Baryon 1
Basis, countable, as property of a manifold 256
Benard, H. 189
Bentley 235
Bergmann, P. xiv xv 66 96 184 230 307
Bernstein, S., theorem on regular solutions of minimal surface problem 52
Bers, L.F. Lipman 52 n
Bertotti, B. 115 n
Beta coupling see "Fermi coupling"
Beta decay xiii 1
Bethe, H.A. 89 n
Betti number 270—272
Betti number, and Coulomb fields 292
Betti number, second, non-vanishing of, as condition for possibility of charge 278
Betti, E. 231
Bianchi identity, relation of, to Maxwell's equations 251
Bidelman, W.C. 46 n
Big A problem 6 120—127
Birkhoff, G. 47
Blackbody container, analogy of thermal geon to 191
Blades, of space-time geometry, failure to mesh 249
Blades, of two-bladed structure of electromagnetic field 243
Bleakney, W. 188 n
Bocchieri, P. 90 n
Body, concept of, in general relativity 133
Bohm, D. 91 n
Bohr, Niels 76 n 109 137 221
Bondi, H. 55 63 118
Bonnor, W.B. 17 n 228
Boundaries of p-chains 267
Boundary value data see "Initial value data or two-surface data"
Boundary, 2-surface, used in evaluation of flux integral and charge 50
Boyle, R. 235
Brahman 236 n
Breit, G. 103 n 176 219
Bridge, Einstein — Rosen, contrasted with wormhole 47 48
Brill, D.K. 4 n 55 57 62 91 96 104 110
Brodsky, A. 91 n 109
Bubble, undersea, analogous to universe in its dynamics 61—63
c-number formalism, contrasted with operator formalism 84—87
c-numbers, anticommuting, avoidability of 97—102
Cajori, F. 235 n
Callaway, J. 24 n 131 234
Carbon-nitrogen cycle, irrelevant for big A problem 125
Carbon-nitrogen cycle, neutrinos produced in 107
Cartan, E. xiv xv 92 237 255 260 238 295
Carter, R.E. 1 n 107
Case, K.M. 89 n 181
Casimir, H.B.G. 92
Casuality, and short wormhole connection between two distant points 48
Casuality, and signals sent through throat of wormhole 65
Catalysis, of conversion of nucleons into radiation, by high pressure 127
Cauchy problem, prediction of geometrodynamical future from present 62
Cauchy — Kowaleski theory 283 n 288
Cavitation, in bubble contraction, connection with question of singularities 62
Cayley — Klein parameters 92
Chains, as related to oriented cubes 266
Chains, closed, compared with closed forms 279
Chains, p-chains, examples of 268
Chains, vector space defined by 271
Chandrasekhar, S. 115 n 121 122 124
Chandratreya, G.L. 236 n
Characteristic field for pair production, sets limit to smallness of thermal geons 193
Characteristic length associated with gravitational field fluctuations 67 71 72 76 120 137
Charge reversal, and parity inversion 130
Charge, "dressed" and "undressed" 233
Charge, as an aspect of a multiply connected space 8 49—50 183—184 226 232 254—306
Charge, classical, of wormhole model, distinguished from physical charges 50 68 76 77 81 82
Charge, electric and magnetic, excluded in source-free formulation of Einstein — Maxwell theory 135
Charge, problem of single complexion for 304—305
Chase, D.M. 24 n 133 302
Chern, S. xiv
Chevalley, C. 260 n
Choquard, P. 83
Classical physics, as contained in geometrodynamics 21
Classical physics, considered as comprising relativity and electro magnetism 14
Classical physics, legalistic description of state in, by electromagnetic fields and metric alone 31
Classical physics, summarized in structure law of space time 22
Clemence, G.M. 46 n 133
Clifford, W.K. 8 129 231 235
Clock, geodesic 10—12
Clock, rate of ticking of inside geon 26
Clocks, in general relativity 9
| Closed space, Einstein's arguments for 58 59
Closed space, properly and not properly closed 63 64 66
Closed universe, associated with time symmetric gravitational wave of critical strength 57
Closure of space, by sufficient density of mass-energy 117
Cobordism and freedom of choice of topology 44
Cole, R.H. 61 n
Collective disturbances, and the nature of elementary particles 79 81
Collective motions, of geons 170
Collision of two photons as mechanism of escape from geon 165—169
Commutators, topological analysis of 83 84 87
Complexion, as describing lack of uniqueness in square root 90
Complexion, considered as a new aspect of geometry 23
Complexion, found from integration of its gradient 20
Complexion, gradient integral conditions on, in a multiply connected space 253—254
Complexion, not defined for null field 23
Complexion, of electromagnetic field, defined 18 19 229 230 241
Complexion, of electromagnetic field, illustrated 19
Complexion, of electromagnetic field, question of determination from curvature 19 20
Complexion, question of more geometric rephrasing of 130
Composition law for propagators 85—87
Composition of vector and tensor fields out of spinor field 89
Compton wave length 2 72
Computer, applied to thermal geon 215
Computer, as tool to analyse two-body problem 49
Computer, electronic, and analysis of geon 161
Condon, E.U. xv 143
Configuration, in method of sum over histories 84—86
Configurations of electromagnetic field different, giving same metric (table) 23
Confucius 225
Connor, P. 307
Conservation law deduced from Stokes theorem 274
Constants, large dimensionless 119—120
Constants, primitive unexplained of physics 68 82
Constraint, equations of see "Initial value equations" "Equations
Continuity, as conceived in topology 255
Contraction effect, on energy of electromagnetic field 208
Contraction, of universe 59—61
Conversion factor, charge to length 14
Conversion factor, electromagnetic field to inverse length 14
Conversion factor, mass to length 13
Conversion factor, time to length 13
Coordinate patches 259—260
Coordinate-free representation of mechanics and geometrodynamics 187
Coordinates as distinguished from intrinsic geometry 35
Coordinates, freedom of choice of 43 44
Corben, H.C. 90 n
Correspondence principle, inapplicable to neutrinos 88 91
Cosmic radiation, contribution of, to density of mass-energy in universe 116—117
Cosmic ray neutrinos 107
Cosmological term, absence of from field, equations of general relativity 131
Cosmological term, in general relativity, status of 59
Cosmology, spherically symmetrical universe in 59 — 61
Cotime 10—12 71 227
Coulomb field as a harmonic field 289—293
Coulomb law, valid over many powers of ten 66
Coupling constant for gravitational forces, absence of 21
Coupling constants 68 78 82
Courant, R. 52 n
Covariance, employed in deriving field equations from initial value equations 41
Covariant derivative, of curvature 20
Covariant derivative, relevant for spinor field 96
Covering group, for rotation group 93
Cowan, C.L., Jr. 1 n 6 106 127 128 179
Crest of water wave, eventual singularity at 67 68 72
Critical field, for pair production, as relevant to minimum size of classical geon 138
Critical mass, of gravitationally attracting nucleons at end point of thermonuclear reaction 120—127
Crushing points, two, in building up cold dense star 124
Crystal lattice, zero point vibration in 69
Cube, oriented unit, as employed in integration 265
Curl, generalized see "Exterior derivative"
Curvature, conditions on, to be represent able as due to an electromagnetic field 18
Curvature, Einstein tensor description of 15 17 18
Curvature, extrinsic to a 3-dimensional hypersurface 34 (diagram)
Curvature, intrinsic to a 3-dimensional hypersurface 33 34
Curvature, invariant for 3-dimensional hypersurface 33
Curvature, invariants 47
Curvature, invariants, as coordinates 187
Curvature, invariants, as tool to characterize intrinsic geometry in a coordinate-free way 35 36
Curvature, of space time 10—12
Curvature, of space time, as indicator of electromagnetic field 16
Curvature, of space time, in a geon 27
Curvature, Ricci, covariant derivative of 20
Curvature, Ricci, tensor description of 15 18
Curvature, scalar invariant of 15 18 see
Curvature, tensor, effect on elementary particles 120
Curved empty space, rich physics of 29
Curved space or curved space-time 8
Cycles, bounding and non-bounding 269—270
Cycles, examples of 268
Cycles, vector space defined by 271
Cycloid, curve connecting radius of universe and time 60
d'Alembert's operator 15
d'Alembertian, generalized, in Einstein's theory 132
Darboux, G. 52 n
Darrow, K.K. 232 n
Davis, R., jr. 108 n
de Broglie, L. 89 n 181
de Groot, S.R. 307
de Rham's first theorem, regarding forms with periods (charge) 278
de Rham's theorem and the initial value problem 288
de Rham, G. xv 255 260
de Witt, B. xv 44
Debever, R. 187 n
Degrees of freedom, internal, in some models for mass 25
Degrees of freedom, number of, for source-free gravitation field 43 44
Degrees of freedom, number of, for time symmetric source-free gravitational wave 54
Degrees of freedom, per space unit 32—39
Dempster, H. 74 n 83
Density of mass energy in universe 46
derivatives xv
Derived quantities emerging from pure geometry 83
Deser, S. xv 79
Diagonalization of a symmetric tensor, not always possible 248
Dicke, R.H. 10 n 119
Dietz, R.S. 114
Differentiable manifold 257—259
Differential equations, fourth order, derived by union of Maxwell and Einstein equations 21 23
Differential equations, of general relativity, non-linearity of, essential for derivation of equations of motion 25
Differential forms see "Forms"
Differential geometry, intrinsic 260
Differential geometry, shortcomings as device to bring out geometrical character of complexion 23
Differentiate functions and fields 259—260
Differentiation, exterior 262
Dimensionless constants, question of change with time 119—120
Dimensionless ratios in physics 10
Dirac's equation for neutrino 108
Dirac's equation for neutrino, and sea of negative energy states 69 70
Dirac's equation for neutrino, equation for neutrino in curved space 95
Dirac's equation for neutrino, equation in curved space 178
Dirac's equation for neutrino, matrices as mechanism to take root 184
Dirac, P.A.M. xv 10 119
Dispersion relation, applied to neutrino interaction in geon 179—180
Dispersion relation, applied to scattering of light and neutrinos 103—104
Dispersion relation, for scattering of light by light 103
Disposable constants per space point, number of 32—39
Divergence conditions, in electromagnetism 32 33
Divergence of quantum electrodynamics, and phenomena at small distances 78 79
Divergence relations, for electromagnetic field see "Initial value conditions"
Divergence via duality and exterior derivative 281
Divergent logarithm in neutrino scattering, in stopping power and in plasma physics 104
Droplets from breakup of wave crest 67 68
Dual and duality, defined for electromagnetic field 19
Dual electromagnetic field tensor 40
Dual forms 31
Dual language of electromagnetic fields and metric, convenience of 24
Dual, defined 227
Duality rotation, compared and contrasted with Lorentz transformation 240
Duality rotation, defined 239
Duality rotation, effect of, on a null field 248—249
Duality rotation, of electromagnetic field and spinor field, compared 91
|
|
|
О проекте