International Journal of Theoretical Physics

, Volume 39, Issue 3, pp 497–502

Quantum Axiomatics and a Theorem of M. P. Solèr

  • Diederik Aerts
  • Bart Van Steirteghem
Article

Abstract

Three of the traditional quantum axioms (orthocomplementation, orthomodularity,and the covering law) show incompatibilities with two products introduced byAerts for the description of joint entities. Inspired by Solèr's theorem and Holland'sAUG axiom, we propose a property of 'plane transitivity,' which also characterizesclassical Hilbert spaces among infinite-dimensional orthomodular spaces, as apossible partial substitute for the 'defective' axioms.

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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Diederik Aerts
    • 1
  • Bart Van Steirteghem
    • 1
  1. 1.FUND, Department of MathematicsBrussels Free UniversityBrussels

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