Relativizing relativity

Foundations of Physics

Volumn 30, Issue 7, 2000, Pages 1001-1016

  Svozil, K ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034363039     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003600519752     Document Type: Article

References (71)

1. A. D. Alexandrov, "On Lorentz transformations," Uspehi Mat. Nauk. 5(3), 187 (1950).
2. A. D. Alexandrov, "A contribution to dironogeometry," Canadian J. Math. 19, 1119-1128 (1967).
3. A. D. Alexandrov, "Mappings of spaces with families of cones and space-time transformations," Annali die Matematica Pura ed Applicata 103, 229-257 (1967).
4. A. D. Alexandrov, "On the principles of relativity theory," in Classic of Soviet Mathematics, Vol. 4, A. D. Alexandrov, Selected Works, pp. 289-318 (1996).
5. A. R. Anderson, "St. Paul's epistle to Titus," in The Paradox of the Liar, R. L. Martin, ed. (Yale University Press, New Haven, 1970). The Bible contains a passage which refers to Epimenides, a Crete living in the capital city of Cnossus: "One of themselves, a prophet of their own, said, 'Cretans are always liars, evil beasts, lazy gluttons.'" - St. Paul, Epistle to Titus I (12-13).
6. Philip W. Anderson, "More is different," Science 177(4047), 393-396 (August 1972).
7. Houshang Ardavan, "A speed-of-light barrier in classical electrodynamics," Phys. Rev: D 29(2), 207-215 (1984).
8. John S. Bell, "How to teach special relativity," Progr. Sci. Culture 1(2) (1976). Reprinted in Ref. 9, pp. 67-80.
9. John S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).
10. John S. Bell, "George Francis FitzGerald," Physics World 5(9), 31-35 (September 1992), abridged version by Denis Weaire.
11. G. A. Benford, D. L. Book, and W. A. Newcomb, "The tachyonic antitelephone," Phys. Rev. D 2(2), 263-265 (1979).
12. Walter Benz, Geometrische Transformationen (BI Wissenschaftsverlag, Mannheim, 1992).
13. B. M. Bolotovskii and V. L. Ginzburg, "The Vavilov-Cerenkov effect and the Doppler effect in the motion of sources with superluminal velocity in vacuum," Sov. Phys. Uspekhi 15(2), 184-192 (1972). [Usp. Fiz. Nauk 106, 577 (1972)].
14. B. M. Bolotovskii and V. L. Ginzburg, "The Vavilov-Cerenkov effect and the Doppler effect in the motion of sources with superluminal velocity in vacuum," Sov. Phys. Uspekhi 15(2), 184-192 (1972). [Usp. Fiz. Nauk 106, 577 (1972)].
15. H. J. Borchers and G. C. Hegerfeldt, "The structure of space-time transformations," Comm. Math. Phys. 28, 259-266 (1972).
16. R. J. Boskovich, "De spacio et tempore, ut a nobis cognoscuntur" (Vienna, 1755); English translation in Ref. 16.
17. R. J. Boskovich, "De spacio et tempore, ut a nobis cognoscuntur," in A Theory of Natural Philosophy, J. M. Child, ed. (Open Court, 1922; MIT Press, Cambridge, MA, 1966), pp. 203-205.
18. Georg Cantor, "Beiträge zur Begründung der transfiniten Mengenlehre. I," Math. Annalen 46, 481-512 (1895). Reprinted in Ref. 19.
19. Georg Cantor, "Beiträge zur Begründung der iransfiniten Mengenlehre. II," Math. Annalen 49, 207-246 (1897).
20. Georg Cantor, Gesammelte Abhandlungen (Springer, Berlin, 1932).
21. John L. Casti, private communication, May 1996.
22. Albert Einstein, "Zur Elektrodynamik bewegter Körper," Ann. Physik 17, 891-921 (1905).
23. Albert Einstein, Grundzüge der Relativitätstheorie, 1st edn. (Vieweg, Braunschweig, 1956).
24. Herman Erlichson, "The rod contraction-clock retardation ether theory and the special theory of relativity," Am. J. Phys. 41, 1068-1077 (1973).
25. John Friedman, Michael S. Morris, Igor D. Novikov, Fernando Echeverria, Gunnar Klinkhammer, Kip S. Thorne, and Ulvi Yurtsever, "Cauchy problem in spacetimes with closed timelike curves," Phys. Rev. D 42(6), 1915-1930 (1990).
26. Kurt Gödel, "An example of a new type of cosmological solutions of Einstein's field equations of gravitation," Rev. Mod. Phys. 21, 447-450 (1949). Reprinted in Ref. 28, pp. 190-198.
27. Kurt Gödel, "A remark about the relationship between relativity theory and idealistic philosophy," in Philosopher-Scientist, Albert Einstein (Tudor, New York, 1949; reprinted in Ref. 28, pp. 202-207), pp. 555-561.
28. Kurt Gödel, in Collected Works. Unpublished Essays and Lectures, S. Feferman, J. W. Dawson, Jr., W. Goldfarb, C. Parsons, and R. M. Solovay, eds. (Oxford University Press, Oxford, 1990), Vol. III.
29. Kurt Gödel, in Collected Works. Publications 1938-1974, S. Feferman, J. W. Dawson, Jr., S. C. Kleene, G. H. Moore, R. M. Solovay, and J. van Heijenoort, eds. (Oxford University Press, Oxford, 1990), Vol. II.
30. Robert Goldblatt, Orthogonality and Spacetime Geometry (Springer, New York, 1987).
31. A. Grünbaum, Philosophical Problems of Space of Time (Boston Studies in the Philosophy of Science, Vol. 12), 2nd ed. (Reidel, Dordrecht, 1974).
32. A. Grünbaum, W. Salmon, B. van Fraassen, and A. Janis, "A panel discussion of simultaneity by slow clock transport in the special and general theories of relativity," Phil. Sci. 36, 1-81 (1969).
33. Helmut Günther, Grenzgeschwindigkeiten und ihre Paradoxa (Teubner, Stuttgart, Leipzig, 1996).
34. G. C. Hegerfeldt, "The Lorentz transformations: Derivation of linearity and scale factor," Nuovo Cimento A 10, 257-267 (1972).
35. Allen I. Janis, "Conventionality of simultaneity," in Stanford Encyclopedia of Philosophy. Winter 1998 Edition (The Metaphysics Research Lab Center for the Study of Language and Information. Ventura Hall Stanford University Stanford, CA 94305-4115, 1998. Internet address: http://plato.stanford.edu/entries/spacetime-convensimul/).
36. L. Jánossy, Theory of Relativity Based on Physical Reality (Akadémiai Kiadó, Budapest, 1971).
37. June A. Lester, "Distance preserving transformations," in Handbook of Incidence Geometry, Francis Buekenhout, ed. (Elsevier, Amsterdam, 1995).
38. D. Malament, "Causal theories of time and the conventionality of simultaniety," Noûs 11, 293-300 (1977).
39. Reza Mansouri and Roman U. Sexl, "A test of special relativity: I. Simultaneity and clock synchronization," Gen. Relativ. Gravit. 8(7), 497-513 (1977).
40. Reza Mansouri and Roman U. Sexl, "A test of special relativity: II. First order tests," Gen. Relativ. Gravit. 8(7), 513-524 (1977).
41. Reza Mansouri and Roman U. Sexl, "A test of special relativity: III. Second-order tests," Gen. Relativ. Gravit. 8, 809-814 (1977).
42. Paul J. Nahin, Time Travel, 2nd ed. (AIP Press and Springer, New York, 1998).
43. Piergiorgio Odifreddi, Classical Recursion Theory (North-Holland, Amsterdam, 1989).
44. Henri Poincaré, La valeur de la science (Flammarion, Paris, 1905); English translation: The Value of Science, 1907; German translation: Der Wert der Wissenschaft, 1906.
45. Henri Poincaré, La valeur de la science (Flammarion, Paris, 1905); English translation: The Value of Science, 1907; German translation: Der Wert der Wissenschaft, 1906.
46. Henri Poincaré, La valeur de la science (Flammarion, Paris, 1905); English translation: The Value of Science, 1907; German translation: Der Wert der Wissenschaft, 1906.
47. H. E. Puthoff, "Can the vacuum be engineered for spaceflight applications?" paper presented at the NASA Breakthrough Propulsion Physics Conference at Lewis Research Center, 1997.
48. Erasmo Recami, "Classical tachyons and possible applications," Nuovo Cimento 9(6), 1-178 (1986).
49. Erasmo Recami, "Tachyon kinematics and causality: A systematic thorough analysis of the tachyon causal paradoxes," Found. Phys. 17(3), 239-296 (1987).
50. Michael Redhead, "The conventionality of simultaneity," in Philosophical Prublems of the Internal und External Worlds, J. Earman, A. Janis, G. Massey, and N. Rescher, eds. (University of Pittsburgh Press and Universitätsverlag Konstanz, Pittsburgh and Konstanz, 1993), pp. 103-128.
51. H. Reichenbach, The Philosophy of Space & Time (Dover, New York, 1958).
52. Alfred A. Robb, A Theory of Time and Space (Cambridge University Press, Cambridge, 1914).
53. Hartley Rogers, Jr., Theory of Recursive Functions and Effective Computability (MacGraw-Hill, New York, 1967).
54. Otto E. Rössler, "Endophysics," in Real Brains, Artificial Minds, John L. Casti and A. Karlquist, eds. (North-Holland, New York, 1987), p. 25.
55. Otto E. Rössler, Endophysics. Die Welt des inneren Beobachters (with a foreword by Peter Weibel) (Merwe Verlag, Berlin, 1992).
56. Sahotra Sarkar and John Stachel, "Did Malament prove the non-conventionality of simultaneity in the special theory of relativity?" Phil. Sci. 66, 208-220 (1999).
57. Silvan Schweber, "Physics, community, and the crisis in physical theory," Phys. Today, pp. 34-40, November 1993.
58. R. U. Sexl and H. K. Urbantke, Relativität, Gruppen, Teilchen (Springer, Vienna, 1976).
59. Michael A. Shupe, "The Lorentz-invariant vacuum medium," Am. J. Phys. 53(2), 122-132 (1985).
60. The International System (SI) of units assumes light to be constant. It was decided in 1983 by the General Conference on Weights and Measures that the accepted value for the speed of light would be exactly 299,792,458 meters per second. (The meter thus is now defined as the distance traveled by light in a vacuum in 1/299,792,458 second, independent of the inertial system.)
61. Roderik I. Sutherland and John R. Shepanski, "Superluminal reference frames and generalized Lorentz transformations," Phys. Rev. D 33(8) (1986).
62. Karl Svozil, "Connections between deviations from Lorentz transformation and relativistic energy-momentum relation," Europhys. Lett. 2, 83-85 (1986).
63. Karl Svozil, "Operational perception of space-time coordinates in a quantum medium," Nuovo Cimento B 96, 127-139 (1986).
64. Karl Svozil, Randomness & Undecidability in Physics (World Scientific, Singapore, 1993).
65. Karl Svozil, "Consistent use of paradoxes in deriving contraints on the dynamics of physical systems and of no-go-theorems," Found. Phys. Lett. 8(6), 523-535 (1995).
66. T. Toffoli, "The role of the observer in uniform systems," in Applied General Systems Research, G. Klir, ed. (Plenum, New York, 1978).
67. R. C. Tolman, The Theory of Relativity of Motion (University of California Press, Berkeley, 1917).
68. E. Whittaker, "George Francis Fitzgerald," Sci. Am. 185(5), 93-98 (1953).
69. J. Winnie, "Special relativity without one-way velocity assumptions: Part I," Phil. Sci. 37, 81-99 (1970).
70. J. Winnie, "Special relativity without one-way velocity assumptions: Pan II," Phil. Sci. 37, 223-238 (1970).
71. E. C. Zeeman, "Causality implies the Lorentz group," J. Math. Phys. 5, 490-493 (1964).