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Recovering the quantum formalism from physically realist axioms #MMPMID28256539
Auffèves A; Grangier P
Sci Rep 2017[]; 7 (ä): ä PMID28256539show ga
We present a heuristic derivation of Born?s rule and unitary transforms in Quantum Mechanics, from a simple set of axioms built upon a physical phenomenology of quantization. This approach naturally leads to the usual quantum formalism, within a new realistic conceptual framework that is discussed in details. Physically, the structure of Quantum Mechanics appears as a result of the interplay between the quantized number of ?modalities? accessible to a quantum system, and the continuum of ?contexts? that are required to define these modalities. Mathematically, the Hilbert space structure appears as a consequence of a specific ?extra-contextuality? of modalities, closely related to the hypothesis of Gleason?s theorem, and consistent with its conclusions.