Foundations of Physics

, Volume 12, Issue 12, pp 1131–1170 | Cite as

Description of many separated physical entities without the paradoxes encountered in quantum mechanics

  • Dirk Aerts


We show that it is impossible in quantum mechanics to describe two separated physical systems. This is due to the mathematical structure of quantum mechanics. It is possible to give a description of two separated systems in a theory which is a generalization of quantum mechanics and of classical mechanics, in the sense that this theory contains both theories as special cases. We identify the axioms of quantum mechanics that make it impossible to describe separated systems. One of these axioms is equivalent to the superposition principle. We show how these findings throw a different light on the paradox of Einstein, Podolsky, and Rosen.


Quantum Mechanic Rosen Physical System Classical Mechanic Mathematical Structure 
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  1. 1.
    A. Einstein, B. Podolsky, and M. Rosen,Phys. Rev. 47, 777 (1935).Google Scholar
  2. 2.
    E. Schrödinger,Proc. Cambridge Philosophical Soc. 31, 555 (1935).Google Scholar
  3. 3.
    G. Birkhoff and J. Von Neumann,Annals of Math. 37, 823 (1936).Google Scholar
  4. 4.
    C. Piron,Foundations of quantum physics (W. A. Benjamin, Reading, Mass., 1976).Google Scholar
  5. 5.
    C. Piron,Annales de la Fondation Louis de Broglie 3, 131 (1978).Google Scholar
  6. 6.
    Dirk Aerts,The One and the Many. Towards a Unification of the Quantum and the Classical Description of One and Many Physical Entities. Doctoral thesis, Vrije Universiteit Brussel, TENA (1981).Google Scholar
  7. 7.
    Dirk Aerts, “The Classical Part and the Nonclassical Part of the Description of an Entity.” Preprint, Vrije Universiteit Brussel, TENA (1981).Google Scholar
  8. 8.
    I. Anemiya and H. Araki,Publ. Research Inst. Math. Sci., Kyoto Univ. A2, 423 (1967).Google Scholar
  9. 9.
    Dirk Aerts, “The Missing Elements of Reality in the Description of Quantum Mechanics of the EPR Paradox Situation.” Preprint, Vrije Universiteit Brussel, TENA (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Dirk Aerts
    • 1
  1. 1.Theoretische NatuurkundeVrije Universiteit BrusselBrusselBelgium

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