Quantum axiomatics and a theorem of M.P. Soler

Details Quantum axiomatics and a theorem of M.P. Soler Quantum axiomatics and a theorem of M.P. Soler

2001-05-23

arxiv.org/abs/quant-ph/0105107v1

International Journal of Theoretical Physics, 39, 2000, 497

Physics

Quantum Physics

5 pages, 0 figures

Scientific paper

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

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