Mathematical Cosmology and Extragalactic Astronomy

Mathematical Cosmology and Extragalactic Astronomy......Page 4
Copyright Page......Page 5
Contents......Page 6
Preface......Page 8
1. Standpoint and purpose......Page 12
2. Causality and geometry—historical......Page 13
3. Conformality, groups, and particles—historical......Page 16
4. Natural philosophy of chronogeometric cosmology......Page 19
5. The universal cosmos—sketch......Page 23
6. The chronometric redshift theory......Page 25
7. Theoretical ramifications; the cosmic background radiation......Page 30
1. Causal orientations......Page 33
2. Causality in groups......Page 39
3. Causal morphisms of groups......Page 45
4. Causality and conformality......Page 48
5. Relation to Minkowski space......Page 52
6. Observers and clocks......Page 55
7. Local observers......Page 59
1. The Cosmos......Page 61
2. Postulational development......Page 62
3. Physical observers......Page 70
4. Conformal geometry and the unitary formalism......Page 74
5. Causal symmetries and the energy......Page 79
6. The redshift......Page 86
7. Local Lorentz frames......Page 93
8. Cosmic background radiation......Page 96
9. Special relativity as a limiting case of unispatial theory......Page 99
1. Introduction......Page 104
2. The redshift–magnitude relation......Page 105
3. Further cosmological tests......Page 109
4. The aperture correction for galaxies......Page 115
5. Statistical effect of the selection of the brightest objects......Page 119
6. The Peterson galaxies......Page 120
7. Markarian galaxies and N-galaxies......Page 125
8. The redshift–magnitude relation for nearby galaxies......Page 128
9. The redshift–magnitude relation for Sandage's brightest cluster galaxies......Page 145
10. Preliminary discussion of quasars......Page 151
11. The N–z relation for quasars......Page 158
12. The apparent magnitude distribution for quasars......Page 163
13. The redshift–luminosity relation for quasars......Page 165
14. The redshift–number relation for quasar subsamples......Page 169
15. The Schmidt V/Vm test for quasars in the chronometric theory......Page 174
16. The angular diameter redshift relation for double radio sources......Page 178
17. Observation versus theory for radio sources......Page 179
18. The Setti–Woltjer quasar classes......Page 181
19. Other observational considerations......Page 185
1. General conclusions......Page 192
2. Theoretical aspects......Page 198
3. Further observational work......Page 205
References......Page 208
Index......Page 212