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Eddington A. — Relativity Theory of Protons and Electrons |
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Предметный указатель |
Lemaitre, G. 47 279 319
Light-time 111 129 218
Limit state 259
Linear transformations 13
Linkage of system to surroundings 32 111 117 129 292
Linked rotations 182 187
Linked rotations, displacement in time 187 192 201
Linked translations 189
Littlewood, D.E. 71
Local orthogonal coordinates 98
Local system (system B) 266
Localisation of characteristics 240
Lorentz transformations 76 116 249
Lorentz transformations inapplicable to internal state 92 96
Lorentz transformations to exclusion principle 231
Lorentz transformations to non-transferable energy 254
Lorentz transformations, Einstein world 211
MacDuffee, C.C. 7
Macroscopic and microscopic theory in secondary quantum theory 315
Macroscopic and microscopic theory, connection of 4 169 201 208 256
Macroscopic relativity theory, emendations required 136 279 326
Macroscopic relativity theory, new light on 190 327
Macroscopic set 83
Magnetic field, energy due to 227
Magnetic field, strong and weak fields 228
magnetic moment 88 89
Mass, origin of 201 262 268 276
Mass-constant 230
Mass-ratio of proton and electron 3 219 304
Matrices 16
Matrices components 36
Matrices double 155
Matrices kinematical and electrical 84
Matrices non-commutative property 17
Matrices Pauli 47
Matrices real and imaginary 40
Matrices space-like and time-like 96
Matrix representation, advantage of 39 96
Matrix representing general E-number (given in full) 42
Measurables 170 324
Measurement in strong fields 81 243
Metrical tensor , identified with kinematical self energy tensor of comparison fluid 196 209
Metrical tensor , measurement of 81
Microscopic and macroscopic theory in secondary quantum theory 315
Microscopic and macroscopic theory, connection of 4 169 201 208 256
Microscopic vorticity 189 326
Milner, S.R. 48
Minimum equation 44
Minor complete set 47
Minus particles 88 90 264 319
Mixed tensor 14 29 54 94
Modifying factor 107 281
Momentum and position 162; see also “Uncertainty principle”
Momentum operator 120 131
Momentum operator in practical units 152
Momentum operator, relation to energy operator 230
Momentum vector 63
Momentum vector, complete 65
Momentum vector, non-algebraic 120
Monothetic 75
Motastable states 150
Multiplication of probabilities 154 213 309
Multiplication, inner, outer and chain 15 16
Multiplication, non-commutative 17
Multiplicity of frames 204 317
Mutual energy invariant 221 260
Mutual energy tensor 165 205 315
Mutual pressure invariant 221 231
Natural coordinates 98
Natural gauge 136
Nebulae, speed of recession 279
Negations 90 265
Negative and positive charges 81 88 223 301
Negative and positive charges, balancing of 278
Negative energy levels 265
Neumann, J.V. 2 36
Neutral comparison fluid 206
Neutral particle 89
Neutral particle, formula for mass 271 275
Neutral particle, mass of 219 267
Neutral sets 83
Neutral space-time 80
Neutron 7
Newman, M.H.A. 42
Non-algebraic phases 97
Non-algebraic wave functions 120
Non-commutative addition 154
Non-commutative exponentials 50 53
Non-commutative multiplication 17
Non-commutative wave functions 311
Non-integrable gauge transformation 137
Nonads 42
Normalised E-numbers 70
Normalised strain vectors 106
Nuclei ,disruption by protons 246
Nuclei, atomic 7
Number of dimensions of space-time 3 325
Number of particles in the universe 272 316 325
Number of particles in the universe, relation to number of eigenfunctions 319
Numerical constants of nature 3
Object system 180
Observables 170 324
Observer 79
Observer, his selective interference 328
Outer product 16
Outer product, notation for 17
Packing ratio in helium 10
Parallel displacement 122
Parallel displacement in 288
Parallel displacement in comparison fluid 182
Parallel displacement, generalised 126
Parallel strain 134
Parameters of wave functions 60
Parameters of wave functions, promotion to coordinate rank 123 289
Partial comparison fluid 196 198 207 210
Partial existence 309 320
Partially occupied states 311 317
Particles 8
Particles of composite identity 234 285 307 315
Particles, elementary 74
Particles, excluding (Formi — Dirac) and non-excluding (Einstein — Bose) 312
Particles, external and internal 174 221
Particles, indistinguishable 282 285
Particles, neutral 89
Particles, number in the universe 272 316 325
Particles, scalar 231
Partition, scheme of 183
Pauli matrices 47 160 248 278 310
Pauli space, duplexity of 321
Pentad 23 35
Pentad, real and imaginary members 40
Pentadic part 68
Permanent 59
Permutation coordinate 153 228 283 284
Permutation coordinate, recoil 293
Permutation coordinate, relativity of 291
Perturbation 116 141 239 249 292
Phase 97
Phase space 95
Phase space in CD frame 166
Phase space, double 165
Phase space, singular 112
Philosophical outlook 327
photons 263 315
Physical reality, invariance of 76
Position and momentum 162; see also “Uncertainty principle”
Position tensor 164
Position vector 73 162
Positive and negative charges 81 88 223 301
Positive and negative charges, Balancing of 278
| Positively saturated space 81
Positron 90 264
Potential see “Electromagnetic potential”
potential energy 245 264
Pressure in degenerate gas 235 236
Pressure in degenerate gas, change of zero reckoning 258 269
Pressure in degenerate gas, relation to energy-density 237 241
Pressure invariant 221 231
probability 107
Probability distributions of (“states”) 32 115
Probability from of partial existence 309; see also “Initial probability distribution”
Probability of identification 284 286
Probability, concerned in dynamical equations 142
Probability, conditions of conservation 119 12
Probability, multiplication of 154 213
Procrustean methods 329
Progressive waves 247
Projective relativity 56
Pseudo-reciprocal 26 63 112
Pure wave tensors 65 68
Pure wave tensors, idempotent condition 70 73
Pure wave tensors, physical importance of 91
Pure wave tensors, standard forms 69
Purity lost by contraction 208
Quadratic equation for mass 219 304
Quadruple wave functions 170 297 323
Quantum numbers, 147
Quantum numbers, 147
Quantum numbers, 149
Quantum theory see “Microscopic theory” and “Wave mechanics”
Quarterspur 23 37
Quotient of E-numbers 25
Radiation 7
Radiation, fields of 143 262
Real and imaginary matrices 40
Reality conditions 86
Reality conditions for gauge transformation 135
Reality conditions in phase space 97
Recession of the nebulae 279
Reciprocal 26
Recoil of comparison fluid 183
Recoil of comparison fluid in 293
Recoil of comparison fluid in r 296
Recoil of comparison fluid in time 186 191
Reduced mass 174
Reflection of a complete set 28
Relata and relations 170 181 323
Relative and absolute displacement 109 183
Relative coordinates 170 174
Relative coordinates, energy tensor 197 205
Relative coordinates, existence operator 313
Relative coordinates, identity 290
Relative coordinates, time 217 295
Relativistic degeneracy 235 246 253
Relativity rotation (or transformation) 30 50 165 248
Relativity rotation (or transformation) of identity 283 285
Rest energy (or mass), origin of 262 268 276
Riemann — Christoffel matrix 187
Riemann — Christoffel tensor 181
Riemann — Christoffel tensor, cosmical 202
Riemann — Christoffel tensor, dual of 192
Riemann — Christoffel tensor, relation to energy tensor 188
Right- and left-handed frames 48 81 85 172
Roper time see “Invariant time”
Rotation 30
Rotation, antiperpendicular 51 94
Rotation, circular and hyperbolic 76 97 217;
Saturated space 81 164
Scalar particles 231
Scalar particles, mass-constant of 236
Scalar particles, system of 259
Scalar product 15
Scalar product, Notation for 17
Scalar wave functions 229
Scalar wave functions, relation to vector wave functions 247
Schrodinger's wave mechanics 75 89 143 229 232
SD-numbers 35
Second quantisation 308
Secondary quantum theory 310 315
Self-consistent field 260 312
Self-energy tensor 162 165 205 209 315
Self-energy tensor, complete 163
Self-pressure and energy invariants 221 260
Signature of space-time 3 326
Simultaneity in internal space 92 110
Simultaneity in internal space, not applicable to imaginary time 295
Single-valued wave functions 150 287
Singular matrices and symbols 18 26
Singular matrices and symbols, conditions for 43 44
Singular phase space 112
Singular phase space, transformations 173 308
Sitter, W.de. see “de Sitter”
Six-dimensional group of rotations 85
Six-vector 57
Sommerfeld's formula for energy-levels 147 302
Sound waves 245
Space tensors 15
Space tensors, association with strain vectors 104 110
Space tensors, complete 64
Space tensors, vectors 53
Space-like matrices 96
Space-like matrices in double frame 165
Space-time, four dimensions of 3 325
Space-time, geneses of macroscopic 80
Specification of particles 196
Specification of particles, energy furnished by 197 267
Specification of particles, macroscopic 201
Spectral set 72
Spectral set, analysis of algebraic numbers 89 249
Spherical curvature (Gaussian) 78 220
Spherical space 5 55;
Spin 73 88
Spin, coordinates 221 283
Spin, duplexity 321
Spin, momentum 122
Spur 36
Standard environment 129 143 150 180
standing waves 234 244
Standing waves, hamiltonian of 237
States 32 115
States, degeneracy of 124 247 289 292
Statistical equilibrium 141 239
Steady state 140
Steady state, generalised 143
Stereographic coordinates 101
Stereographic coordinates, application of 218 219
Stereographic projection 257
Stern — Gerlach effect 226 278
Stern — Gerlach effect in weak fields 228
Straight cross 161 164
Strain vector 94
Strain vector form of wave equation 106 130
Strain vector, association with space vector 104 110
Stream vector 65
Stream vector in secondary quantum theory 310
Stream vector of elementary particle 88
Stream vector, algebraic 248
Stream vector, connection with momentum 122
Strong action principles 242
Strong and weak magnetic fields 228
Suffix coordinates 283
Suffixes, omission of 16
Summation convention, limited use 22
Symbolic calculus 20 125
Symbolic factors 37
Symbolic frame 29
Systems 270
Systems A, B (cosmical and local) 266
Temple, G. 27 73 145 151
Tensor 13
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