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Quantum theory as a universal physical theory

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Abstract

The problem of setting up quantum theory as a universal physical theory is investigated. It is shown that the existing formalism, in either the conventional or the Everett interpretation, must be supplemented by an additional structure, the “interpretation basis.” This is a preferred ordered orthonormal basis in the space of states. Quantum measurement theory is developed as a tool for determining the interpretation basis. The augmented quantum theory is discussed.

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References

  • Bell, J. S. (1964).Physics,1, 195.

    Google Scholar 

  • Bohm, A. (1980). Decaying states in the Rigged Hilbert space formulation of quantum mechanics,J. Math. Phys. 21.

  • Bohr, N., and Rosenfeld, L. (1933).Kongelige Danske Videnskabernes Selskab Matematisk Fysiske Meddelelser,12(8).

  • Daneri, A., Loinger, A., and Prosperi, G. M. (1962).Nucl. Phys. 33, 297.

    Google Scholar 

  • Davies, E. B. (1976).Quantum Theory of Open Systems, Academic Press, London.

    Google Scholar 

  • d'Espagnat, B. (private communication).

  • d'Espagnat, B. (1976).Conceptual Foundations of Quantum Mechanics, second ed. W. A. Benjamin, Reading, Massachusetts.

    Google Scholar 

  • DeWitt, B. S. (1968). The Everett-Wheeler interpretation of quantum mechanics, inBattelle Rencontres, 1967 Lectures in Mathematics and Physics, C. DeWitt and J. A. Wheeler, eds.The Many-Worlds Interpretation of Quantum Mechanics. New York.

  • DeWitt, B. S. (1970).Physics Today,23, 9.

    Google Scholar 

  • DeWitt, B. S. (1973). The many-universes interpretation of quantum mechanics, inThe Many-Worlds Interpretation of Quantum Mechanics, B. S. DeWitt and N. Graham, eds. Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • DeWitt, B. S., and Graham, N. eds. (1973).The Many-Worlds Interpretation of Quantum Mechanics. Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Einstein, A., Podolski, B., and Rosen, N. (1935).Phys. Rev. 47, 777.

    Google Scholar 

  • Everett, H. (private communication).

  • Everett, H. (1957).Rev. Mod. Phys. 29, 454.

    Google Scholar 

  • Feynman, R. P., Leighton, R. B., and Sands, M. (1965).Lectures on Physics, Vol. 3. Addison Wesley, Reading, Massachusetts.

    Google Scholar 

  • Gel'fand, I. M., and Shilov, G. E. (1968).Generalized Functions. Academic Press, New York.

    Google Scholar 

  • George, C., Prigogine, I., and Rosenfeld, L. (1972). The macroscopic level of quantum mechanics,Kongelige Dansk Videnskabernes Selskab Matematisk Fysiske Meddelelser,38, 1.

    Google Scholar 

  • London, F., and Bauer, E. (1939).La Theorie de l'Observation en Mecanique Quantique. Hermann & Cie., Paris; (English translation)Quantum Theory of Measurement, J. A. Wheeler and W. H. Zurek. Princeton University Press, Princeton, New Jersey (1982).

    Google Scholar 

  • Misra, B., Prigogine, L., and Courbage, M. (1979). Lyspunov variable; Entropy and measurement in quantum mechanics,Proceedings of the National Academy of Science,76, 4768.

    Google Scholar 

  • Popper, K. R. (1967).In Quantum Theory and Reality, M. Bunge, ed. Springer, New York.

    Google Scholar 

  • Schmidt, E. (1907).Math Annalen,63, 433.

    Google Scholar 

  • Schrödinger, E. (1935).Proceedings of the Cambridge Philosophical Society,31, 555.

    Google Scholar 

  • Turing, A. M. (1950).Mind,59, 433.

    Google Scholar 

  • von Neumann, J. (1930).Fundamentos Matemáticos de la Mecánica Cuántica. Institute Jorge Juan, Madrid.

    Google Scholar 

  • von Neumann, J. (1932/1969).Mathematische Grundlagen der Quantenmechanik. Springer, Berlin. (Dover, New York, 1943).

    Google Scholar 

  • von Neumann, J. (1946).Les Fondements Mathématiques de la Mécanique Quantique. Alcan, Paris.

    Google Scholar 

  • von Neumann, J. (1955).Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • von Neumann, J. (1964).Matematičeskije Osnovi Kvantovoj Mekhaniki, Nauka, Moscow.

    Google Scholar 

  • Wheeler, J. A. (1957).Rev. Mod. Phys.,29 (3), 463.

    Google Scholar 

  • Wheeler, J. A. (1977). Genesis and observership, inFoundational Problems in the Social Sciences, Butts and Hintikka, eds., p. 3. D. Reidel Publishing Company, Dordrecht.

    Google Scholar 

  • Wigner, E. (1961/1962). Remarks on the Mind-body Question, inThe Scientist Speculates, I. J. Good, ed., Chap. VI. Heineman, London/Basic Books, New York.

    Google Scholar 

  • Zeh, H. D. (1973).Found. Phys.,3, 1.

    Google Scholar 

  • Zeh, H. D. (1980). Letter to J. A. Wheeler (unpublished).

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Deutsch, D. Quantum theory as a universal physical theory. Int J Theor Phys 24, 1–41 (1985). https://doi.org/10.1007/BF00670071

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  • DOI: https://doi.org/10.1007/BF00670071

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