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arXiv · 1610.06164

Recovering the quantum formalism from physically realist axioms

Alexia Auffeves·Philippe Grangier
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Abstract

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.

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Alexia Auffeves, Philippe Grangier. 2016-10-16. Recovering the quantum formalism from physically realist axioms. https://doi.org/10.1038/srep43365

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