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Relativity in curved spacetime : life without special relativity

Author: Eric Baird
Publisher: [Place of publication not identified] : Chocolate Tree Books, ©2007.
Edition/Format:   Print book : English : 1st edView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Eric Baird
ISBN: 0955706807 9780955706806
OCLC Number: 181743934
Description: xvi, 378 pages : illustrations ; 24 cm
Responsibility: Eric Baird.
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Table of Contents:

by ChocolateTreeBooks (WorldCat user on 2007-12-06)

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

Notes:

by ChocolateTreeBooks (WorldCat user on 2008-05-06)

394 pages, size: 234×156mm, Includes bibliographic references and index, and >200 figures and illustrations Publisher website: http://www.chocolatetreebooks.com Author's website: http://www.relativitybook.com This is the paperback version of "Relativity in Curved Spacetime", for the hardback version, see: ISBN 0955706823

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by ChocolateTreeBooks (WorldCat user published 2007-12-06) Excellent Permalink
bookreview.com say:" In this excellent discussion of relativity theory, Eric Baird introduces the reader to the history and practice of relativity theory, jauntily condensing and critiquing centuries of research as he builds his accompanying argument: that Albert Einstein's 1905 flat-spacetime special...
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