arXiv:1505.01369

A simple derivation of Born's rule with and without Gleason's theorem

Alexia Auffèves, Philippe Grangier

Published May 6, 2015• 3 citations

Abstract

We present a derivation of Born's rule and unitary transforms in Quantum Mechanics, from a simple set of axioms built upon a physical phenomenology of quantization. Combined to Gleason's theorem, this approach naturally leads to the usual quantum formalism, within a new conceptual framework that is discussed heuristically in details. The structure of Quantum Mechanics, from its probabilistic nature to its mathematical expression, 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.

DOI: 10.48550/arxiv.1505.01369

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