Abstract
The concept of “propagation in time” of Vigier and co-workers (V et al.) implies the idea of a supertime; it is thus alien to most Minkowskian pictures and certainly to mine. From this stems much of Vet al.'s misunderstandings of my position. In steady motion of a classical fluid nobody thinks that “momentum conservation is violated,” or that “momentum is shot upstream without cause” because of the suction from the sinks! Similarly with momentum-energy in space-time and the acceptance of an advanced causality. As for the CT invariance of the Feynman propagator, the causality asymmetry it entails is factlike, not lawlike. The geometrical counterpart of the symmetry between prediction and retrodiction and between retarded and advanced waves, as expressed in the alternative expressions 〈B|UA〉=〈BU|A〉=〈B|U|A〉 for a transition amplitude between a preparation |A〉 and a measurement |B〉, is CPT-invariant, not PT-invariant. These three expressions respectively illustrate the collapse, the retrocollapse, and the symmetric collapse-and-retrocollapse concepts. As for Sutherland's argument, what it “falsifies” is not my retrocausation concept but the hidden-variables assumption he has unwittingly made.
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References
N. Cufaro-Petroni, C. Dewdney, P. R. Holland, A. Kyprianidis, and J. P. Vigier,Found. Phys. 17, 759 (1987).
O. Costa de Beauregard,C. R. Acad. Sci. (Paris) 236, 1632 (1953).
O. Costa de Beauregard,Nuovo Cimento B 42, 41 (1977);51, 267 (1979).
O. Costa de Beauregard,Phys. Rev. Lett. 50, 867 (1983).
O. Costa de Beauregard, “Lorentz andCPT-invariances and the Einstein-Podolsky-Rosen correlations,” inFoundations of Quantum Mechanics in the Light of New Technology, S. Kamefuchi, H. Ezawa, Y. Murayama, M. Namiki, S. Nomura, Y. Ohnuki, and T. Yajima, eds., (Physical Society of Japan, Tokyo, 1984), pp. 231–241.
O. Costa de Beauregard,Found. Phys. 15, 871 (1985).
O. Costa de Beauregard, “Causality as identified with conditional probability and the quantal nonseparability,” inMicrophysical Reality and Quantum Formalism, F. Selleri, G. Tarozzi, and A. van der Merwe, eds. (Reidel, Dordrecht, 1987).
O. Costa de Beauregard, “Causality as identified with conditional probability and the quantal nonseparability, inNew Techniques and Ideas in Quantum Measurement Theory, D. Greenberger, ed. (New York Academy of Sciences, New York, 1986).
R. I. Sutherland,Nuovo Cimento B 88, 114 (1985).
H. P. Stapp,Nuovo Cimento B 29, 270 (1975).
W. C. Davidon,Nuovo Cimento B 36, 34 (1976).
J. Rayski,Found. Phys. 9, 217 (1979).
J. G. Cramer,Phys. Rev. D 22, 362 (1980).
D. T. Pegg,Phys. Lett. A 78, 233 (1980).
C. W. Rietdijk,Found. Phys. 11, 783 (1981).
R. I. Sutherland,Int. J. Theor. Phys. 22, 377 (1983).
A. Garuccio, G. D. Maccarone, E. Recami, and J. P. Vigier,Lett. Nuovo Cimento 27, 60 (1980).
J. G. Cramer,Rev. Mod. Phys. 58, 647 (1986).
F. Selleri and J. P. Vigier,Lett. Nuovo Cimento 29, 7 (1980).
P. Davies,Other Worlds (Dent, London, 1981), p. 124.
O. Costa de Beauregard,Lett. Nuovo Cimento 29, 17 (1980).
J. Schwinger,Phys. Rev. 74, 1439 (1948).
G. Wentzel,Quantum Theory of Fields (Interscience, New York, 1949).
J. M. Jauch and F. Rohrlich,The Theory of Photons and Electrons (Addison-Wesley, Reading, 1955), p. 408.
L. Boltzmann,Lectures on Gas Theory (S. Brush, translator) (University of California Press, Los Angeles, 1964).
O. Costa de Beauregard,Found. Phys. 15, 871 (1985).
P. S. de Laplace,Mémoire sur la Probabilité des Causes, 1774; reproduced in hisOeuvres Complètes (Gauthier-Villars, Paris, 1891), Vol. 8, pp. 27–65 (and following papers).
J. D. van der Waals,Phys. Z. 12, 547 (1911).
G. Lüders,Z. Phys. 133, 325 (1952).
V. Fock,Dokl. Akad. Nauk SSSR 60, 1157 (1948).
S. Watanabe,Rev. Mod. Phys. 27, 179 (1955).
M. Born,Z. Phys. 38, 803 (1926).
P. Jordan,Z. Phys. 40, 809 (1926).
A. Landé,New Foundations of Quantum Mechanics (Cambridge University Press, Cambridge, 1965).
O. Costa de Beauregard,Lett. Nuovo Cimento 25, 91 (1979).
A. Aspect, J. Dalibard, and G. Roger,Phys. Rev. Lett. 49, 1804 (1982).
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Costa de Beauregard, O. On the zigzagging causality EPR model: Answer to Vigier and coworkers and to Sutherland. Found Phys 17, 775–785 (1987). https://doi.org/10.1007/BF00733266
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DOI: https://doi.org/10.1007/BF00733266