Mathematical Cosmology and Extragalactic Astronomy (eBook)

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