Abstract
This discussion explains quantum indeterminism on the basis of the logical concept of unsolvability. I prove that there is no one-valued computable function to help us predict the outcome of a measurement of spin projection S z′ from a result of a previous measurement, S z , and angle Θ zz′ . En route to the corresponding theorem, I show that the EPR concept of physical reality is inconsistent with the quantum mechanics formalism.
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References
Kurt Gödel, “Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme”, Monatshefte für Mathematik und Physik, 38, 1931, p. 173.
J.L. Britton, “The word problem for groups”, Pmc. London Math. Soc. (3) 8, 1958, p. 493.
Martin Davis, Computability and Unsolvability, New York: Dover Publications 1982.
Yuri F. Orlov, “The origin of quantum indeterminism and irreversibility of measurements”, Phys. Rev. Lett. 82, 1999, p. 243.
L. de Broglie, Non-linear Wave Mechanics: A Causal Interpretation, Amsterdam: Elsevier 1960
D. Bohm, Phys. Rev. 85, 1952, p. 166–180
D. Bohm and B.J. Hiley, Physics Reports (Review Section of Phys. Lett.) 172, No. 3, 1989, p. 93.
A. Einstein, B. Podolski, and N. Rosen, Can Quantum-Mechanical Description of Physical Reality be Considered Complete?, Phys. Rev. 47, 1935, p. 777.
Martinus Veltman, Diagrammatica, Cambridge: Cambridge University Press 1995.
A more comprehensive discussion of this subject by the author, “Complementary histories, collapse into the past, and EPR ‘nonlocality’ in standard quantum mechanics,” has been submitted to Phys. Rev. Lett.
J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Berlin: Springer-Verlag 1932;
Walter Thirring, Quantum Mechanics of Atoms and Molecules, New York: Springer-Verlag 1981.
S.C. Kleene, Introduction to Metamathematics, Amsterdam: North-Holland 1971.
Lucien Hardy, “Nonlocality for two particles without inequalities for almost all entangled states”, Phys. Rev. Lett., 71, 1993, p. 1665.
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© 1999 Springer Science+Business Media Dordrecht
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Orlov, Y.F. (1999). Quantum and Classical Gödelian Indeterminism, Measurement, and Informational Collapse into the Past. In: Greenberger, D., Reiter, W.L., Zeilinger, A. (eds) Epistemological and Experimental Perspectives on Quantum Physics. Vienna Circle Institute Yearbook [1999], vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1454-9_6
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DOI: https://doi.org/10.1007/978-94-017-1454-9_6
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