International Journal of Theoretical Physics

, Volume 35, Issue 11, pp 2399–2416 | Cite as

Framework for possible unification of quantum and relativity theories

  • Diederik Aerts


We put forward a framework, inspired by recent axiomatic and operational approaches to generalized quantum theories, wherein we investigate the possibility of unifying quantum and relativity theories. The framework concentrates on a detailed analysis of a general construction of reality that can be used in both quantum and relativity theories. By means of this construction of reality we clarify some well-known conceptual problems that stand in the way of a conceptual unification of quantum and relativity theories on a more profound physical level than the purely mathematical algebraic level on which unification attempts are generally investigated. More specifically we concentrate on the problem of “what is physical reality” in quantum and relativity theories.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aerts, D. (1981). The one and the many, Doctoral Thesis, Free University of Brussels, Brussels, Belgium.Google Scholar
  2. Aerts, D. (1982). Description of many physical entities without the paradoxes encountered in quantum mechanics,Foundations of Physics,12, 1131.CrossRefMathSciNetGoogle Scholar
  3. Aerts, D. (1983a). Classical theories and non-classical theories as a special case of a more general theory,Journal of Mathematical Physics,24, 2441.CrossRefADSMathSciNetGoogle Scholar
  4. Aerts, D. (1983b). A possible explanation for the probabilities of quantum mechanics and a macroscopic situation that violates Bell inequalities, inRecent Developments in Quantum Logic, P. Mittelstaedtet al., eds., Wissenschaftverlag, Bibliographisches Institut, Mannheim, Germany, p. 235.Google Scholar
  5. Aerts, D. (1986). A possible explanation for the probabilities of quantum mechanics,Journal of Mathematical Physics,27, 202.CrossRefADSMathSciNetGoogle Scholar
  6. Aerts, D. (1987). The origin of the non-classical character of the quantum probability model, inInformation, Complexity, and Control in Quantum Physics, A. Blanquiere,et al., eds., Springer-Verlag, Berlin.Google Scholar
  7. Aerts, D. (1990). An attempt to imagine parts of the reality of the micro-world, inProblems in Quantum Physics; Gdansk '89, World Scientific, Singapore, p. 3.Google Scholar
  8. Aerts, D. (1992). The construction of reality and its influence on the understanding of quantum structures,International Journal of Theoretical Physics,31, 1815.MathSciNetGoogle Scholar
  9. Aerts, D. (1994). Quantum structures, separated physical entities and probability,Foundations of Physics,24, 1227.ADSMathSciNetGoogle Scholar
  10. Aerts, D. (1995). Quantum structures: An attempt to explain the origin of their appearance in nature,International Journal of Theoretical Physics,34, 1165.CrossRefMATHMathSciNetGoogle Scholar
  11. Birkhoff, G., and von Neumann, J. (1936). The logic of quantum mechanics,Annals of Mathematics,37, 823.MathSciNetGoogle Scholar
  12. Einstein, A. (1905). Zur elektrodynamik bewegter Körper,Annalen der Physik,17, 891.ADSMATHGoogle Scholar
  13. Emch, G. G. (1984).Mathematical and Conceptual Foundations of 20th Century Physics, North-Holland, Amsterdam.Google Scholar
  14. Gudder, S. P. (1988).Quantum Probability, Academic Press, Harcourt Brace Jovanovitch, New York.Google Scholar
  15. Jauch, J. M. (1968).Foundations of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.Google Scholar
  16. Misner, C. W., Thorne K. S., and Wheeler, J. A. (1973).Gravitation, Freeman, San Francisco.Google Scholar
  17. Piron, C. (1976).Foundations of Quantum Physics, Benjamin, New York.Google Scholar
  18. Piron, C. (1985). Quantum mechanics: Fifty years later, inProceedings of the Symposium on the Foundations of Modern Physics, P. Lahti and P. Mittelstaed, eds., World Scientific, Singapore.Google Scholar
  19. Piron, C. (1988). Recent developments in quantum mechanics,Helvetica Physica Acta,62, 82.MathSciNetGoogle Scholar
  20. Piron, C. (1990).Mécanique Quantique, Bases et Applications, Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland.Google Scholar
  21. Randall, C., and Foulis, D. (1979). The operational approach to quantum mechanics, inPhysical Theory as Logico-Operational Structure, C. A. Hooker, ed., Reidel, Dordrecht.Google Scholar
  22. Randall, C., and Foulis, D. (1983). A mathematical language for quantum physics, inLes Fondements de la Mécanique Quantique, C. Gruberet al., eds., A.V.C.P., Lausanne, Switzerland.Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Diederik Aerts
    • 1
  1. 1.Department of Theoretical Physics and Center Leo ApostelVrije Universiteit BrusselBrusselsBelgium

Personalised recommendations