Relativity in Curved Spacetime
Publisher: Chocolate Tree Books
Published: 2007
Place of publication: UK
Language: eng
Format: Paperback
Number of pages: 394
Table of contents: title: vi
label: Overview; title: vii
label: Table of Contents; title: xiii
label: Welcome; title: xiv
label: About the Author; title: xiv
label: Notes to the First Edition; title: xv
label: Acknowledgements and Credits; title: xvi
label: Abbreviations; label: PART I
pagenum: 1
title: BACKGROUND PHYSICS; label: 1
pagenum: 3
title: The Speed of Light; label: 1.1
pagenum: 5
title: Light is pretty fast; label: 1.2
pagenum: 6
title: Lightspeed varies; label: 1.3
pagenum: 7
title: Lightspeed is not just the speed of light; label: 1.4
pagenum: 8
title: Lightspeed affects inertia; label: 1.5
pagenum: 8
title: Lightspeed controls timeflow; label: 1.6
pagenum: 8
title: Lightspeed is locally constant; label: 1.7
pagenum: 9
title: Lightspeed is now defined as constant; label: 1.8
pagenum: 9
title: The gravity well; label: 1.9
pagenum: 11
title: Light travels in straight lines. Except when it doesn't; label: 1.10
pagenum: 12
title: Light used to define a straight line; label: 2
pagenum: 13
title: Gravity, Energy and Mass; label: 2.1
pagenum: 15
title: What is mass?; label: 2.2
pagenum: 16
title: Does light have mass?; label: 2.3
pagenum: 17
title: Genie in a bottle: Thought-experiments with bottled light; label: 2.4
pagenum: 19
title: Difficulty of detecting the effect; label: 2.5
pagenum: 20
title: Mass-to-energy conversion; label: 2.6
pagenum: 21
title: History of E=mc²; label: 2.7
pagenum: 22
title: Energy has mass, period; label: 3
pagenum: 23
title: Curved Space and Time; label: 3.1
pagenum: 25
title: Gravity is … what, exactly?; label: 3.2
pagenum: 25
title: Gravity bends light; label: 3.3
pagenum: 26
title: Gravity warps geometry; label: 3.4
pagenum: 28
title: Gravity as a variation in inertia; label: 3.5
pagenum: 28
title: Energy-change in light due to gravity; label: 3.6
pagenum: 29
title: Gravitational redshifts and blueshifts; label: 3.7
pagenum: 30
title: Gravitational time dilation; label: 3.8
pagenum: 32
title: Not just curved space, but curved spacetime; label: 4
pagenum: 33
title: Relativity; label: 4.1
pagenum: 35
title: Relativity of space; label: 4.2
pagenum: 35
title: Relativity of time; label: 4.3
pagenum: 36
title: Relativity of velocity; label: 4.4
pagenum: 37
title: Isaac Newton's "Principia"; label: 4.5
pagenum: 38
title: Mach and relativity; label: 4.6
pagenum: 39
title: Practical advantages of "relativistic" arguments; label: 4.7
pagenum: 39
title: Applying Occam's Razor; label: 4.8
pagenum: 40
title: Different "Principles of Relativity"; label: 4.9
pagenum: 41
title: Causes of confusion; label: 4.10
pagenum: 42
title: Relativity of acceleration; label: 4.11
pagenum: 43
title: Relative acceleration vs. absolute acceleration; label: 4.12
pagenum: 45
title: Relativity of rotation; label: 4.13
pagenum: 45
title: "Centrifugal" and "Coriolis" fields; label: 4.14
pagenum: 47
title: Rotational dragging; label: 4.15
pagenum: 49
title: Experimental verification; label: 4.16
pagenum: 50
title: Equivalence principles; label: 5
pagenum: 51
title: The Newtonian Catastrophe; label: 5.1
pagenum: 53
title: Newton's unification scheme; label: 5.2
pagenum: 54
title: The lightspeed mistake; label: 5.3
pagenum: 54
title: The "space-density" mistake; label: 5.4
pagenum: 55
title: The light-energy mistake; label: 5.5
pagenum: 55
title: Loss of wave-particle duality; label: 5.6
pagenum: 56
title: Newton vs. Huyghens; label: 5.7
pagenum: 57
title: The lightspeed trap; label: 5.8
pagenum: 59
title: Consequences for physics; label: PART II
pagenum: 61
title: EFFECTS due to RELATIVE MOTION; label: 6
pagenum: 63
title: Doppler Shifts; label: 6.1
pagenum: 65
title: "Stationary observer" Doppler effect; label: 6.2
pagenum: 66
title: "Stationary source" Doppler effect; label: 6.3
pagenum: 66
title: Comparisons; label: 6.4
pagenum: 67
title: Transverse Doppler effects (audio); label: 6.5
pagenum: 69
title: Optical Doppler effects; label: 6.6
pagenum: 69
title: Longitudinal Doppler effect under Special Relativity; label: 6.7
pagenum: 70
title: Transverse Doppler effect under Special Relativity; label: 7
pagenum: 71
title: Apparent Length-Changes in Moving Objects; label: 7.1
pagenum: 73
title: Apparent changes in length; label: 7.2
pagenum: 73
title: Approaching objects appear elongated; label: 7.3
pagenum: 73
title: Receding objects appear contracted; label: 7.4
pagenum: 74
title: Degree of contraction or elongation; label: 7.5
pagenum: 75
title: Special relativity and length-changes; label: 7.6
pagenum: 76
title: Rulers and gravitation; label: 8
pagenum: 77
title: Aberration of Angles; label: 8.1
pagenum: 79
title: Aberration of Angles; label: 8.2
pagenum: 80
title: Relativistic aberration at 90 degrees; label: 8.3
pagenum: 81
title: The Relativistic Ellipse; label: 8.4
pagenum: 83
title: Putting it all together; label: 8.5
pagenum: 83
title: Relativistic ellipse: Newtonian theory; label: 8.6
pagenum: 84
title: Relativistic ellipse: Special relativity; label: 9
pagenum: 85
title: Moving bodies drag light; label: 9.1
pagenum: 87
title: Generality of dragging effects; label: 9.2
pagenum: 87
title: Naming conventions: Gravitomagnetism, frame-dragging; label: 9.3
pagenum: 87
title: Argument #1: Linear GM as a gravitational timelag effect; label: 9.4
pagenum: 88
title: Argument #2: "Effective gravitational potential" depends on relative velocity; label: 9.5
pagenum: 89
title: Argument #3: Gravitational smudging; label: 9.6
pagenum: 89
title: Argument #4: The slingshot effect; label: 9.7
pagenum: 90
title: Argument #5: Rotational GM and gravitational timelag; label: 9.8
pagenum: 91
title: Argument #6: QM and "probabilistic" smudging; label: 9.9
pagenum: 91
title: Argument #7: Experiment: The Fizeau effect; label: 9.10
pagenum: 92
title: Inconsistencies in our approach to velocity; label: 9.11
pagenum: 94
title: Cancellation and unification?; label: 9.12
pagenum: 95
title: Implementation – the tilted gravity-well; label: 9.13
pagenum: 96
title: Zeno revisited: the "impossibility" of motion; label: 9.14
pagenum: 97
title: Worldlines and curvature; label: 9.15
pagenum: 98
title: Uh-oh …; label: 9.16
pagenum: 99
title: The score chart; label: 9.17
pagenum: 100
title: "Relativistic" implementations of lightspeed constancy; label: PART III
pagenum: 101
title: LIMITS TO OBSERVATION; label: 10
pagenum: 103
title: Quantum Mechanics and Observability; label: 10.1
pagenum: 105
title: The origin of quantum mechanics; label: 10.2
pagenum: 106
title: Is quantum mechanics a theory?; label: 10.3
pagenum: 107
title: The "Copenhagen" and "Hidden Variable" interpretations; label: 10.4
pagenum: 108
title: The two-slit experiment; label: 10.5
pagenum: 111
title: Quantum mechanics and everyday experience; label: 10.6
pagenum: 112
title: Illusion and reality; label: 10.7
pagenum: 114
title: Pair Production; label: 10.8
pagenum: 114
title: Virtual particles; label: 10.9
pagenum: 115
title: Pseudo- pair production; label: 11
pagenum: 117
title: Dark Stars and Black Holes; label: 11.1
pagenum: 119
title: John Michell's dark stars; label: 11.2
pagenum: 120
title: Properties of a compact gravitational object; label: 11.3
pagenum: 121
title: Escape velocity calculations and the gravitational horizon; label: 11.4
pagenum: 121
title: Tidal forces; label: 11.5
pagenum: 122
title: "Visiting" particles around a dark star; label: 11.6
pagenum: 123
title: Dark stars and "acoustic" metrics; label: 11.7
pagenum: 124
title: Acoustic metrics and nonlinearity; label: 11.8
pagenum: 125
title: Black holes under GR1915; label: 11.9
pagenum: 129
title: The Kerr black hole; label: 11.10
pagenum: 130
title: The expansion problem; label: 11.11
pagenum: 130
title: The acceleration problem; label: 11.12
pagenum: 131
title: Black holes according to Quantum Mechanics; label: 11.13
pagenum: 132
title: Hawking radiation; label: 11.14
pagenum: 133
title: Pair-production and pseudo-pair-production; label: 11.15
pagenum: 134
title: Attempts to eliminate the "dark star" explanation; label: 11.16
pagenum: 135
title: Acoustic metrics, once again; label: 11.17
pagenum: 136
title: "Acceleration radiation"; label: 11.18
pagenum: 137
title: The Black Hole Information Paradox; label: 11.19
pagenum: 138
title: The BHIP and Microcausality; label: 11.20
pagenum: 139
title: "Observerspace" arguments; label: 11.21
pagenum: 140
title: The Membrane Paradigm; label: 11.22
pagenum: 141
title: Holographic arguments; label: 11.23
pagenum: 142
title: The Holographic Principle in action; label: 11.24
pagenum: 143
title: The "no-signal" problem; label: 11.25
pagenum: 144
title: The verdict; label: PART IV
pagenum: 145
title: UPDATING STANDARD THEORY; label: 12
pagenum: 147
title: What's wrong with General Relativity?; label: 12.1
pagenum: 149
title: "Core" experimental tests of general relativity; label: 12.2
pagenum: 152
title: Experimental significance; label: 12.3
pagenum: 153
title: Incompatibility with quantum mechanics; label: 12.4
pagenum: 154
title: Fudge factor?: The Cosmological Constant; label: 12.5
pagenum: 155
title: Possible breaking of conservation laws; label: 12.6
pagenum: 155
title: Possible incompatibility with Mach's principle; label: 12.7
pagenum: 156
title: Fudge factor?: Galactic curves and Dark Matter; label: 12.8
pagenum: 157
title: Arbitrary suspension of the Equivalence Principle; label: 12.9
pagenum: 159
title: Invoking reduction to flat spacetime; label: 12.10
pagenum: 160
title: Use of tailor-made definitions; label: 12.11
pagenum: 163
title: Do cosmological horizons count as "acoustic"?; label: 12.12
pagenum: 164
title: Doppler effects and the Black Hole Information Paradox; label: 12.13
pagenum: 165
title: Grand unification?; label: 12.14
pagenum: 167
title: Gravitomagnetic incompatibility?; label: 12.15
pagenum: 168
title: Complexity; label: 12.16
pagenum: 169
title: Is GR1915 scientifically falsifiable?; label: 12.17
pagenum: 170
title: Blaming special relativity; label: 13
pagenum: 171
title: Horrible Nasty Mathematics; label: 13.1
pagenum: 173
title: A family of relativistic theories; label: 13.2
pagenum: 174
title: Selecting a reference theory; label: 13.3
pagenum: 174
title: Defining the range; label: 13.4
pagenum: 175
title: Ellipses; label: 13.5
pagenum: 175
title: Special relativity as a special solution; label: 13.6
pagenum: 176
title: Positive values of © and positive curvature; label: 13.7
pagenum: 176
title: Rejecting negative solutions for ©; label: 13.8
pagenum: 177
title: Gravitomagnetism suggests positive ©; label: 13.9
pagenum: 177
title: Graphed Doppler responses; label: 13.10
pagenum: 178
title: Setting "one" as a higher limit for ©; label: 13.11
pagenum: 178
title: Using the BHIP to set a minimum of "one" for ©; label: 13.12
pagenum: 179
title: Oops?; label: 13.13
pagenum: 180
title: Preliminary conclusions; label: PART V
pagenum: 181
title: Flat Spacetime and Special Relativity; label: 14
pagenum: 183
title: Einstein's "special" theory of relativity; label: 14.1
pagenum: 185
title: The birth of special relativity; label: 14.2
pagenum: 185
title: Failure of earlier theories …; label: 14.3
pagenum: 185
title: … "Draggable" aethers; label: 14.4
pagenum: 186
title: … Absolute aether; label: 14.5
pagenum: 187
title: Aether, either, neither neither; label: 14.6
pagenum: 188
title: Lorentz Ether Theory (LET), ® 1904; label: 14.7
pagenum: 189
title: Special relativity, 1905; label: 14.8
pagenum: 190
title: Additional interpretational overhead; label: 14.9
pagenum: 192
title: Minkowski Spacetime; label: 14.10
pagenum: 194
title: Implications of Minkowski spacetime; label: 15
pagenum: 195
title: So, what's wrong with the special theory?; label: 15.1
pagenum: 197
title: SR and Observerspace; label: 15.2
pagenum: 198
title: Is the special theory "robust"?; label: 15.3
pagenum: 199
title: Minkowski spacetime as an argument against SR.; label: 15.4
pagenum: 200
title: The "stratification" problem.; label: 15.5
pagenum: 201
title: Does SR "do" acceleration?; label: 15.6
pagenum: 203
title: Extensibility; label: 15.7
pagenum: 203
title: Cumulative redshift effects …; label: 15.8
pagenum: 205
title: … Thermal redshifts; label: 15.9
pagenum: 206
title: … Cosmological redshifts; label: 15.10
pagenum: 208
title: Round-trip effects in general; label: 16
pagenum: 209
title: Experimental Evidence for Special Relativity; label: 16.1
pagenum: 211
title: Commonly-cited evidence for special relativity; title: … E=mc² 211
label: 16.2; label: 16.3
pagenum: 212
title: "Classical Theory" vs. Special Relativity; label: 16.4
pagenum: 213
title: … "Transverse" redshifts; label: 16.5
pagenum: 214
title: … "Longitudinal" Doppler shifts; label: 16.6
pagenum: 215
title: … The lightspeed upper limit in particle accelerators; label: 16.7
pagenum: 216
title: The "searchlight" effect; label: 16.8
pagenum: 216
title: Velocity-addition; label: 16.9
pagenum: 216
title: Particle tracklengths; label: 16.10
pagenum: 217
title: Muon showers; title: 218
label: 16.11 … Particle storage rings and centrifugal time dilation; label: 16.12
pagenum: 219
title: deSitter / Brecher disproof of simple emission theory; label: 16.13
pagenum: 220
title: "Domain of applicability" issues; label: 16.14
pagenum: 222
title: Conclusions; label: PART VI
pagenum: 223
title: FUTURE PHYSICS; label: 17
pagenum: 225
title: Cosmologies; label: 17.1
pagenum: 227
title: The expanding universe; label: 17.2
pagenum: 227
title: The "Big Bang"; label: 17.3
pagenum: 228
title: Spatial closure; label: 17.4
pagenum: 231
title: Expansion curves; label: 17.5
pagenum: 232
title: Cosmological time coordinates; label: 17.6
pagenum: 234
title: The Hartle-Hawking "bubble universe"; label: 17.7
pagenum: 235
title: Entropy, arrows of time, and the Big Crunch; label: 17.8
pagenum: 236
title: Extending the "bubble" model; label: 17.9
pagenum: 237
title: Variable dimensionality?; label: 17.10
pagenum: 237
title: "Mirror" and "kaleidoscope" universes; label: 17.11
pagenum: 239
title: Oranges and raspberries; label: 17.12
pagenum: 240
title: A few Multiverses; label: 17.13
pagenum: 243
title: Fractal universe arguments; label: 17.14
pagenum: 246
title: Why is the universe rational?; label: 17.15
pagenum: 248
title: The Drake Equation; label: 17.16
pagenum: 249
title: Before Event Zero; label: 18
pagenum: 251
title: Trouble with Wormholes; label: 18.1
pagenum: 253
title: What is a wormhole?; label: 18.2
pagenum: 253
title: "Spacetime surgery" and simple optics; label: 18.3
pagenum: 254
title: Wormhole instability?; label: 18.4
pagenum: 256
title: The distance problem.; label: 18.5
pagenum: 256
title: The ageing problem; label: 18.6
pagenum: 256
title: The "antihorizon" problem; label: 18.7
pagenum: 257
title: "Anti-wormholes" and spatial reversal; label: 18.8
pagenum: 260
title: The Kerr wormhole; label: 18.9
pagenum: 261
title: The fieldline problem.; label: 18.10
pagenum: 261
title: The gravity problem.; label: 18.11
pagenum: 262
title: Wormhole politics; label: 18.12
pagenum: 262
title: The time-connection problem; label: 18.13
pagenum: 263
title: Wormhole time travel?; label: 18.14
pagenum: 264
title: Mistaken time machine behaviour; label: 18.15
pagenum: 265
title: Quantum foam; label: 18.16
pagenum: 266
title: Scale-dependent topology; label: 18.17
pagenum: 266
title: Pseudowormholes; label: 18.18
pagenum: 268
title: Does quantum foam contain only pseudowormholes?; label: 18.19
pagenum: 268
title: Do wormholes exist at all?; label: 19
pagenum: 269
title: Metric Engineering and Warp Drives; label: 19.1
pagenum: 271
title: "Space bungees" and regenerative braking; label: 19.2
pagenum: 272
title: Boomeranging; label: 19.3
pagenum: 273
title: Exotic-matter drives; label: 19.4
pagenum: 274
title: The negative-field problem; label: 19.5
pagenum: 275
title: Ultrafast travel using simple gravity; label: 19.6
pagenum: 276
title: The "cresting" problem; label: 19.7
pagenum: 277
title: The Krasnikov tube; label: 19.8
pagenum: 278
title: Warpfield Hawking radiation?; label: 19.9
pagenum: 279
title: The "acoustics" analogue; label: 19.10
pagenum: 281
title: Simple warpfield generators; label: 19.11
pagenum: 282
title: Toroidal configurations; label: 19.12
pagenum: 283
title: Cancellation and non-cancellation; label: 19.13
pagenum: 284
title: The 2-spin torus; label: 19.14
pagenum: 286
title: Self-refraction and cross-refraction; label: 19.15
pagenum: 287
title: General field-refraction issues; label: 19.16
pagenum: 288
title: Momentum conversion; label: 19.17
pagenum: 289
title: "Reactionless" drives and deferred momentum; label: 19.18
pagenum: 289
title: Can we build a working warp drive?; label: PART VII
pagenum: 291
title: THE HUMAN FACTOR; label: 20
pagenum: 293
title: Limitations of language and procedure; label: 20.1
pagenum: 295
title: The order in which things are written; label: 20.2
pagenum: 295
title: Lightspeed, velocity, and language traps; label: 20.3
pagenum: 297
title: Fractured logic; label: 20.4
pagenum: 298
title: Logic traps and logical black holes; label: 20.5
pagenum: 300
title: More examples of circular thinking; label: 20.6
pagenum: 302
title: Is consistency all it's cracked up to be?; label: 20.7
pagenum: 303
title: "First answer" syndrome; label: 20.8
pagenum: 304
title: Life, Death, and the Square Root of Two; label: 20.9
pagenum: 305
title: The story of Pi; label: 20.10
pagenum: 307
title: Pi and global extinction; label: 20.11
pagenum: 308
title: Naming rituals, binary logic and Giant Pandas; label: 20.12
pagenum: 309
title: Intransitive logics; label: 20.13
pagenum: 310
title: Complex logical spaces; label: 20.14
pagenum: 312
title: Intransitive ordering and gravitation; label: 20.15
pagenum: 314
title: "Certainty" parameters; label: 20.16
pagenum: 315
title: Living with uncertainty; label: 20.17
pagenum: 316
title: Conclusions; label: 21
pagenum: 317
title: The Perils of Experimentation; label: 21.1
pagenum: 319
title: Evaluating science neutrality; label: 21.2
pagenum: 321
title: Perception filters; label: 21.3
pagenum: 323
title: System bias and "v1.0" syndrome; label: 21.4
pagenum: 325
title: Safety in numbers; label: 21.5
pagenum: 326
title: Accident reporting; label: 21.6
pagenum: 327
title: Quantum sociology?; label: 21.7
pagenum: 328
title: Pattern Recognition and group decisionmaking; label: 21.8
pagenum: 331
title: Market Forces; label: 21.9
pagenum: 333
title: Physics nightmares; label: 22
pagenum: 335
title: Conclusions; label: 22.1
pagenum: 337
title: SR-based or NM-based physics?; label: 22.2
pagenum: 339
title: The fork in the road; label: 22.3
pagenum: 339
title: Warning signs; label: 22.4
pagenum: 344
title: Mathematical "truth" vs. relevance; label: 22.5
pagenum: 346
title: Alternative alternatives; label: 22.6
pagenum: 346
title: Life after special relativity; label: PART VIII
pagenum: 347
title: Calculations, References and Index; label: Calculations 1
pagenum: 348
title: Doppler shifts; label: Calculations 2
pagenum: 350
title: E=mc² from Newtonian mechanics; label: Calculations 3
pagenum: 352
title: Non-SR transverse Doppler effect / "Aberration redshift"; label: Calculations 4
pagenum: 354
title: The "Box of Frogs" depiction of classical Hawking radiation; label: Calculations 5
pagenum: 357
title: Comparison table; title: 358
label: Major Players; title: 359
label: Topic References; title: 365
label: General References; title: 371
label: Index