Abstract
Some results of quantum gravity suggest possible violations of quantum mechanics in the form of transitions from pure to mixed states. A “quantum violating evolution equation” put forward by Ellis, Hagelin, Nanopoulos and Srednicki is used in the case of rotationally invariant density matrices describing a system of two spin-½ particles. It is shown that the equation may account for the transition from a pure singlet state to a mixture of maximal entropy discussed by Baracca, Bohm, Hiley and Stuart in 1975 in connection with Bohm’s version of the EPR experiment. It is argued that similar effects on the evolution of microscopic systems could also arise as a consequence of extra spatial dimensions, such as those introduced in multidimensional unified theories.
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References
S. W. Hawking, “Breakdown of predictability in gravitational collapse”, Phys. Rev. D14 ,14 (1976).
S.W. Hawking, “The Unpredictability of quantum gravity”,1. Commun. Math. Phys. 87, 395 (1982).
J. Ellis, J.J. Hagelin, D.V. Nanopoulos, and M. Srednicki, Nuol. Phys. B244 125 (1984).
S. Bergia, F. Cannata, and V. Monzoni, Found. Phys. 15 ,145 (1985) .
T. Banks, L. Susskind, and M.E. Peskin, Nucl. Phys. B244 ,125 (1984).
V. Gorini, A. Frigerio, M. Verri, and A. Kossakowski, E.C.G. Sudarshan, Rep. Math. Phys. 13 ,149 (1978).
S. Bergia, F. Cannata, B. Giorgini, and V. Zamboni,Lett. Nuovo Cimento, 43 ,113 (1985).
S. Bergia, and B. Giorgini, in progress; based on an adaptation of the analysis carried out in G.G. Emch and G.L. Sewell, Journ. Math. Phys. 9 ,946 (1968).
A. Baracca, D.J. Bohm, B.J. Hiley, and A.E.G. Stuart, Nuovo Cimento 28B ,453 (1975).
R.M.Wald, Phys. Rev. D21 ,2742 (1980)
R.M. Wald, “Black holes, thermodynamics, and time reversibility”, in Quantum Gravity 2 ,C.J. Isham, R. Penrose, and D.W. Sciama, eds. (Oxford University Press, Oxford, 1981);
D.N. Page, Gen. Rel. Grav. 14 , 299 (1982)
F.J. Tipler, Gen. Rel. Grav. 15 ,1139 (1983); and references therein.
A.R. Wilson, J. Lowe, and D.K. Butt,J. Phys. 42 ,613 (1976)
D.J. Bohm, and B.J. Hiley, Nuovo Cimento 35B ,137 (1976) .
S. Bergia, and F. Cannata. “Non linear models for quantum mechanical measurements”, presented at the Conference “Microphysical Reality and Quantum Formalism”, Urbino, Sep. 25-Oct. 3, 1985.
T. Kaluza, Sitzungsber. preuss. Akad. Wiss. ,p. 966 (1921).
C. Hoenselaers, English translation of Ref.13, in Unified Field Theories of More than Four Dimensions ,(Proceedings of the International School of Cosmology and Gravitation, Erice, 1982), V. De Sabbata and E. Schmutzer, eds. (World Scientific, Singapore, 1983).
O. Klein, Z. Phys. 37 , 895 (1926).
C. Hoenselaers. English translation of Ref.15, the Erice Proceedings of Ref.14.
See, in particular, E. witten, Nuol. Phys. B186, 412 (1981).
S. Bergia, C.A. Orzalesi, and G. Venturi, Phys. Lett. 123B ,205 (1983).
F. Cannata, private communication.
M. Kargh, Am. J. Phys. 52, 1024 (1984).
See, e.g., A. Pais, “SuFtle is the Lord: The science and life of Albert Einstein” ,(Oxford University Press, Oxford, 1982).
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Bergia, S. (1988). Can Singularities and Multidimensional Spaces Influence the Evolution of Quantum Mechanical Systems?. In: Tarozzi, G., van der Merwe, A. (eds) The Nature of Quantum Paradoxes. Fundamental Theories of Physics, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2947-0_12
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DOI: https://doi.org/10.1007/978-94-009-2947-0_12
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