Abstract
It is shown that Laplace defined the concept of causality rather than determinism, and that the former concept is compatible with, and indeed demands, a stochastic description of the interaction of a system with its environment. We examine a number of statistical physical theories, both classical and quantum, to see whether they conform with the Laplacian notion of causality. We conclude that all formulations of quantum theory, including those of Bohm and of Nelson, are acausal.
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References
W. Heisenberg, Physics and Philosophy ( Harper and Row, New York, 1958 ).
C.G. Jung and W. Pauli The Interpretation of Nature and the Psyche ( Pantheon, New York, 1955 ).
M. Born and A. Einstein, Letters 1916–1955 ( Macmillan, London, 1971 ).
L. Rosenfeld, Science Progress163 393 (1953), Section 2.
M. Planck, Wege zur physikalischen Erkenntnis p.223ff ( Hirzel, Leipzig, 1944 ).
S.G. Brush., The kind of motion we call heat (North Holland, Amsterdam, 1976), Vols. 1 and 2.
P.S. Laplace, Essai philosophique sur les probabilities 1814, edition des “Maîtres de la pensée scientifique” (Gauthiers-Viliars, Paris, 1921 ), pp. 3–4.
A. Einstein, Ann. Physik 17, 549 (1905).
M. Smoluchowski, Ann Physik 21, 756 (1906).
E. Nelson, Dynamical theories of Brownian motion (Princeton Univ. Press, 1967 ).
R. Hakim, J. Math. Phys. 9, 1805 (1968).
G.E. Uhlenbeck and L.S. Ornstein, Phys. Rev. 36, 823 (1930).
E. Santos, article in this volume.
T.W. Marshall, Physica A 103, 172 (1980).
T.W. Marshall, Proc. Comb. Phil. Soc. 61, 537 (1965).
D ter Haar, Elements of statistical mechanics (Constable, London, 1955 ), Appendix I.
T.W. Marshall, Eur. J. Phys. 3, 215 (1982).
D. Bohm and B.J. Hiley, Found. Phys. 5, 93 (1975).
D. Bohm, Wholeness and the implicate order ( Routledge and Kegan Paul, London 1980 ).
D. Bohm, Prog. Theor. Phys. 9, 273 (1953).
R.P. Feynman, Int. J. Theor. Phys. 21, 467 (1982).
R.P. Feynman,and A.R. Hibbs, Quantum mechanics and path integrals ( McGraw Hill, New York, 1965 ).
C. Philippidis, C. Dewdney and B.J. Hiley, Nuovo Cimento 528, 15 (1979).
P. Gueret and J.P. Vigier, Found. Phys. 12, 1057 (1982).
G.C. Qhirardi, C. Omero, A. Rimini and T. Weber, Riv. Nuovo Cimento vol. 1, N. 3 p. 1 (1978).
H. Grabert, P. Hänggi and P. Talkner, Phys. Rev. A 19, 2440 (1979).
A. Einstein,“Autobiographical Notes”in Albert Einstein philosopher scientist ed. P.A. Schilpp ( Tudor, New York, 1951 ).
A. Einstein, B. Podolsky and N. Rosen, Phys. Rev. 47, 777 (1935).
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© 1985 D. Reidel Publishing Company
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Marshall, T.W. (1985). When is a Statistical Theory Causal?. In: Tarozzi, G., van der Merwe, A. (eds) Open Questions in Quantum Physics. Fundamental Theories of Physics, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5245-4_18
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DOI: https://doi.org/10.1007/978-94-009-5245-4_18
Publisher Name: Springer, Dordrecht
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