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Aczel A.D. — God's Equation: Einstein, Relativity, and the Expanding Universe
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Название: God's Equation: Einstein, Relativity, and the Expanding Universe
Автор: Aczel A.D.
Аннотация: Who would have thought a mathematical constant would make such an engaging character? God's Equation: Einstein, Relativity, and the Expanding Universe, mathematician Amir Aczel's tale of the search for a scientific explanation of the universe, features the cosmological constant in a role as complex as Einstein's. The great genius referred to it as his "greatest blunder," but recent events in the world of astrophysics have brought the prodigal term back into the fold as an important part of his field equation. Aczel is a powerful storyteller, and makes no secret of his admiration for Einstein; much of the book revolves around his conquest of general relativity. Integrating relativity with gravitation was no easy task (even for Einstein), but the author deftly steers the reader away from the sticky stuff and focuses attention on concepts of importance.
Aczel shows Einstein's aesthetic troubles with the cosmological constant, which preceded theoretical and experimental problems leading to its abandonment. The universe was caught in the act of expansion by Edwin Hubble, and the constant, originally invoked to maintain a steady-state universe, was unnecessary. Fortunately, though, the mathematics underlying the constant had become important tools for physicists; observations in 1997 and 1998 by Saul Perlmutter, Neta Bahcall, and others showed that the universe will continue expanding indefinitely and sent theorists back to the drawing board to revise their equations. The cosmological constant returned triumphant, and while its inventor might never have approved of it, today's scientific community gives it an honored role in God's Equation.
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Рубрика: Физика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: reprinted edition
Год издания: 2000
Количество страниц: 236
Добавлена в каталог: 28.03.2010
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Предметный указатель
Abraham, Max 111-12
Adelhard of Bath 48
Albrecht, Andy 199
Alpher, Ralph 176
Alvarez, Louis 217
Alvarez, Walter 217
Andromeda 154 163
Arab science 47-48
Aristotle 206
Asteroids 215
Astral geometry 58
Babylonians 43-44
Bahcall, John 200-201
Bahcall, Neta, n 199-202
Beltarmi, Eugenio 101
Berlin 66-68 80-81 105-8 119-20 125
Berlin Observatory 36-37 68
Besso, Michele Angelo 17 24 28 83
Bianchi identities 113-14
Bianchi, Luigi 110 114
big bang 168 171-72 217-18
Big bang, evidence for 176-78
Big bang, instanton concept 211 213
Big bang, problems with standard big bang, theory 173-75
Big bang, spacetime singularity 168 169-71 213 218
Black holes 4 119 168-69
Bolyai, Johann 56-59 101
Bolyai, Wolfgang 56 58
Brazil, eclipse expedition in 126-29 133-34 135 142-44
Broken symmetries 208-9
Cepheid variables 161-62 163
Chandrasekhar, S. 122 146
Chemical elements in universe 177-78
Chern, S. S. 99-100 219
Clark, Ronald 82
Corry, L. 114
Cosmic Background Explorer satellite (COBE) 177
Cosmic background radiation 175 176-77
Cosmological constant, as measurement of force expanding universe 180 204-6
Cosmological constant, as variable 205 209
Cosmological constant, challenges to 15 8-60
Cosmological constant, Einstein's abandonment of 160 164-65 168
Cosmological constant, Einstein's introduction of 155-58 167-68 206
Cosmological constant, relationship to curvature of universe 156-57
Cosmological constant, relationship to expansion of universe 194-95 208 217
Cosmological constant, relationship to inflationary universe theory 175 205 209
Cosmological constant, usefulness 167-68 204-5 207 217
Cosmology see also Universe
Cosmology, Einstein on 149 151-59
Cosmology, flatness problem 173
Cosmology, horizon problem 173-75
Cosmology, quantum 198
Cosmology, search for unified field theory 210-11
Cottingham 134 138
Cowan, Clyde 182
Crab Nebula (Ml) 2-3
Crimean eclipse expedition 71 79 81-84 85 87
Critical density of universe 173 187 191-95
Crommelin, A. C. D. 126 127 143
Curvature see also Light deflection
Curvature of finite universe 156-57
Curvature of flat Euclidean space 94
Curvature of hyperbolic space 94 101
Curvature of spacetime 59 65 94 96 118 143-44
Curvature of spherical space 94
Curvature tensor 113-14
Daly, Ruth, n 199
Dark matter 186 202
de Sitter, Willem 121 122-23 140-41 154 158 60 165
Demetz, Peter 31
Dicke, Robert H. 176
Differential 191 (see also Field equation of gravitation)
Differential equations 191
Differential geometry 97 99-100
Dinosaurs 215
Distances, in non-Euclidean geometries 95-97 100 117
Dyson, Frank 124 125 138 142-43
Earth, believed to be flat 43-44 50-51
Eclipses, attempts to observe bending of starlight 76-77 78-79 124-25 147-48
Eclipses, Brazilian expedition 126-133-34 135 137 142-44
Eclipses, Crimean expedition 71 79 81-84 85 87
Eclipses, Principe expedition 124 126-27 129-34 135-37 142-44
Eddington, Arthur 90 121-24 125 141
Eddington, Arthur, on curvature of space and general relativity 132-33 44 145 146 148
Eddington, Arthur, poetry 146-47
Eddington, Arthur, Principe expedition 126-27 129-34 135-37 138
Eddington, Arthur, research on expanding universe 165
Effects of gravity 27-28 59
Effects of gravity, explanation for lack of ether 24-25
Effects of gravity, influences 19-21
Effects of gravity, mathematics related to 18 32-33 63
Effects of gravity, redshift 32
Effects of gravity, reference frames 21
Ehrenfest, Paul 68 87
Einstein, Albert, as celebrity 142 147
Einstein, Albert, at German University (Prague) 29-31 33-34 38-39 40
Einstein, Albert, awareness of anti-Semitism 67 107-8
Einstein, Albert, correspondence with Einstein, Albert, Freundlich 68 73-79 88 89-90 112 147-48
Einstein, Albert, family 14 15-16 19 66 80
Einstein, Albert, in Berlin 66-68 80-81 82 105-8 119-20 125
Einstein, Albert, in Zurich 62 65-66
Einstein, Albert, Jewishness 30-31
Einstein, Albert, knowledge of astronomy 76-77
Einstein, Albert, knowledge of British confirmation of light deflection 139-40 141-42
Einstein, Albert, life 14-19 39
Einstein, Albert, marriages 17 19 80 107
Einstein, Albert, mathematical knowledge 17-18 61-63
Einstein, Albert, personality 15 40 76 108-9 112 115
Einstein, Albert, reputation 119
Einstein, Albert, research and papers Einstein, Albert, published 21 29 38-39 40 119-20
Einstein, Albert, search for unified field Einstein, Albert, theory 100 160 211 219
Einstein, Albert, work at Swiss patent office 19 21 28 59 62
Einstein, Albert, Zurich Notebook 3 7 116-17
Einstein, Elsa 80 107
Einstein, Mileva 17 66 105
Electromagnetism 160
Equations 64-65
Escher, M. C 53 54 55
ETH see Federal Institute of Technology
Ether 20-21 22-24 145
Euclidean geometry 44-45
Euclidean geometry, fifth postulate 45-51 54-58
Euclidean geometry, of universe 173 186-87 191-92 194 212 217
Expansion of universe see also Big bang; Inflationary universe theory
Expansion of universe, "funny energy" as force in 10-11 180 204-6
Expansion of universe, beginning of 168 171
Expansion of universe, closed theory (collapse predicted) 6-7
Expansion of universe, cosmological constant dropped because of 160 164-65 168
Expansion of universe, critical density and 173 187 191-95 216-17
Expansion of universe, de Sitter on 159-60
Expansion of universe, description 178-80
Expansion of universe, distribution of matter 186
Expansion of universe, Einstein's initial doubts about 153-54
Expansion of universe, evidence for 160-61
Expansion of universe, evidence for acceleration of 7-10 11 199 204-5 216-17
Expansion of universe, Hubble's Constant 164 191-92
Expansion of universe, Hubble's Law 5 164 178
Expansion of universe, models of 165 212
Expansion of universe, steady state theory 6
Expansion of universe, theories 6-7 10
Expansion of universe, varying rates of 208 209
Extended inflation model 198
F lsing, Albrecht 24
Fan, Xiaohui 11
Federal Institute of Technology (ETH; Zurich) 16 17-18 38 40 61-62 63 66
Fermi National Accelerator Laboratory (Fermilab) 11 198-99 203-4
Fermi, Enrico 182
Feynman, Richard 212
Field equation of gravitation see also Cosmological constant
Field equation of gravitation, application to universe 151-52 156-57
Field equation of gravitation, as icon 205-6
Field equation of gravitation, components 114-15 117 151-52
Field equation of gravitation, development of 68 75 113-15
Field equation of gravitation, early approximation of 116-17
Field equation of gravitation, geometry of universe and 190-99
Field equation of gravitation, metric tensor 65 96 152 155
Field equation of gravitation, power of 13-14 218-19
Field equation of gravitation, publication of 117
Field equation of gravitation, solutions 117-19 205
Fields 20-21 (see also Gravitational field)
Fokker, A. 109
Foucault's pendulum 150
Four-dimensional spacetime 32-33 190
Fractals 185
Frank, Philipp 38 40
Franz Ferdinand, Archduke 84-85
Freundlich, Erwin Finlay 36-37
Freundlich, Erwin Finlay, astronomical research 77-78
Freundlich, Erwin Finlay, correspondence with Einstein 68 73-79 88 89-90 112 147-48
Freundlich, Erwin Finlay, Crimean eclipse expedition 71 79 81-84 85 87
Freundlich, Erwin Finlay, in career 89-90
Freundlich, Erwin Finlay, relationship with Einstein 71-79 82 87-88 89-90 147-48
Freundlich, Erwin Finlay, research on light deflection 74 78-79 147-48
Friedmann, Alexander 165 168
Frieman, Joshua 199
Functions, derivatives 170
Galaxies, dark matter in 202
Galaxies, discovery of 154 163-64
Galaxies, distribution in universe 184-86
Galaxies, formation of 171-72 177
Galaxies, measuring distances to 4-5 162 163
Galaxies, most distant 173-74
Galaxies, redshifts 5
Galaxies, speed of recession 4-5 7-10 160-61 164 178 179
Galaxies, structures 184-86
Galileo Galilei 19 21
Gamow, George 176
Gauss, Karl Friedrich 54-56 58 92 93 94 102
Geller, Margaret 185
General theory of relativity see also Field equation of gravitation; Light deflection
General theory of relativity, application to entire general theory of relativity, universe 152-54
General theory of relativity, development 28 31-32 33-38 39 64 107 115-17
General theory of relativity, difficulty of understanding 145-46
General theory of relativity, dissemination of Einstein's general theory of relativity, paper 121 122
General theory of relativity, Eddington on 132-33 145
General theory of relativity, Einstein's desire for experimental confirmation 68 73-79 82-83 119
General theory of relativity, later work based on 99-100 112-13 114-15 141
General theory of relativity, mathematics of 33-34 62-65 68 96 109-11 112-14
General theory of relativity, meetings on 140 142-47
General theory of relativity, perihelion of Mercury and 83-84 109 111 145
General theory of relativity, power of 218-19
General theory of relativity, reactions to 82 111-12 144-45
General theory of relativity, reference frames 3 2
Geometry see also Euclidean geometry; non - Euclidean geometry
Geometry of universe, application of Einstein's geometry of universe, field equation to 190-99
Geometry of universe, curvature 156-57
Geometry of universe, flat (Euclidean) 173 186-87 189 191-92 212 217
Geometry of universe, hyperbolic (non-Euclidean) 192 193 218
Geometry of universe, non - Euclidean 100-102
Geometry of universe, possibilities 189-95
Geometry of universe, relationship to cosmological constant 156-57 193 194-95
Geometry of universe, spherical (non-Euclidean) 192-93
Geometry, differential 97 99-100
Geometry, four-dimensional 210
Geometry, in ancient times 43-44
German University (Prague) 29-31 33-34 38-39 40
Germany see also Berlin gravitation attempts
Germany, World War I 85-87
Gravitation see also Field equation of gravitation
Gravitation, effects on galaxies 186
Gravitation, Einstein's study of 28 64 112 117-18
Gravitation, expansion of universe driven by 175
Gravitation, in special theory of relativity 27-28
Gravitation, light bent by see Light deflection
Gravitation, Newton's theory 27-28
Gravitation, redshift caused by 32 39
Gravitation, theory 100 160 212-13 219
Gravitational field, limiting value of 151
Gravitational field, space curved due to 11 59 96
Gravitational lensing 37-38 202
Grossmann, Marcel 61-62 63
Grossmann, Marcel, collaboration with Einstein 64 65 69 75
Grossmann, Marcel, criticism of general theory of relativity 68-69
Grossmann, Marcel, relationship with Einstein 19 62 68-69
Group theory 98-99
Guerra, Erick 11
Guth, Alan 159 172-73 175-76 197 2 09 212 213 218
Haber, Fritz 72
Hartle, James 212
Hawking, Stephen 210 211-13
Herman, Robert 176
Herz, Heinrich 21
Higgs fields 175-76
Hilbert, David 112-13 114-15
Hitler, Adolf 81
Horizon problem 173-75
Hoyle, Fred 168
Hu, Esther 173-74 179
Hubble Space Telescope 201 216
Hubble's constant 164 191-92
Hubble's Law 5 164 178
Hubble, Edwin 5 161 162-63
Huchra, John 185
Humason, Milton 163
Hyades 134
Hyperbolic geometry 52-54 57-59 100-101
Hyperbolic geometry, curvature of space 94 101
Hyperbolic geometry, of universe 190 192 193 218
Ield equation of gravitation, Nordstrom's work on 75
IN 41 158 159
Inflationary universe theory 159 172-73 175-76 205 213
Inflationary universe theory, cosmological constant and 175 205 209
Inflationary universe theory, evidence for 177 217
Inflationary universe theory, extended model 198
Inflationary universe theory, flat geometry of universe inflationary universe theory, assumed 186-87 212
Inflationary universe theory, rate of expansion 197-98 211
Inflationary universe theory, skeptics 218 (see also Big bang)
Instanton concept 211 213
Kami oka Neutrino Observatory 183-84
Keck telescopes 173 216
Kirshner, Robert 203
Klein bottles 98
Klein, Felix 98-99
Krupp, Gustav 81
Lapparent, Valerie de 185
Lawrence Berkeley National Laboratory 1-2 216
Leavitt, Henrietta 161-62 163
LeMaitre, Georges 165 168
Levi - Civita, Tullio 34 63 110
Light deflection by massive objects 34-38 39-40
Light, gravitational lensing 37-38 202
Light, particle theory 36 89
Light, speed of 21
Lobachevsky, Nikolai Ivanovich 58-59 101
Lodge, Oliver 144-45
Lorentz, H. A. 21 140-42 158
M bius strips 98
M bius, A. E 98
Mach's law of inertia 149-50
Mach, Ernst 19-20 34 149 158-59
Magellanic Clouds 161 163 184
Magnetic field 20
Magnetic monopoles 175-76
Mandelbrot, Benoit 185
Mandl, Rudi W. 37-38
Mass of universe, average density 157-58
Mass of universe, critical density 173 191-95
Mass of universe, less than critical density 11 183 187 199 216-17
Mass of universe, measuring 201-2
Mass of universe, missing 184-87
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