Quantum, classical and intermediate I: a model on the Poincaré sphere

Diederik Aerts, Bob Coecke, Thomas Durt, Frank Valckenborgh

Research output: Contribution to journalArticlepeer-review


Following an approach, that we have called the hidden-measurement approach, where the probability structure of quantum mechanics is explained as being due to the presence of fluctuations on the measurement situations, we introduce explicitly a variation of these fluctuations, with the aim of defining a procedure for the classical limit. We study a concrete physical entity and show that for maximal fluctuations the entity is described by a quantum model, isomorphic to the model of the spin of a spin 1/2 quantum entity. For zero fluctuations we find a classical structure, and for intermediate fluctuations we find a structure that is neither quantum nor classical, to which we shall refer as the "intermediate“ situation.
Original languageEnglish
Pages (from-to)225-240
Number of pages16
JournalTatra Mountains Mathematical Publications
Publication statusPublished - 1997
Externally publishedYes


  • hidden-measurement approach
  • classical limit
  • Poincaré sphere


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