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Deriving Born?s rule from an Inference to the Best Explanation.

17 Dicembre 2019 12:00 - 13:30
14 - 15 IV piano St. 9
Institut d`Optique, Palaiseau, France
Area di Ricerca
Transizioni di fase, Sistemi condensati e a molti corpi, Fisica Statistica e loro applicazioni

Born?s rule is clearly a major theoretical basis of quantum mechanics (QM), and whether it should be derived or postulated still fuels many debates on quantum foundations. Here we take a medium position, that is: Born?s rule cannot be logically proven, but it does not have either to be postulated. Actually, it can be inferred from some simple physical requirements or axioms, based on established (quantum) empirical evidence, within our approach involving contexts, systems and modalities (CSM) [1-3]. A major tool in our approach is Gleason?s theorem, and we will show that Gleason?s hypotheses have a deep physical content, linking contextual quantization and extracontextuality of modalities [4]. We will also discuss possible connections with algebraic quantum theory. [1] A. Auff?ves and P. Grangier, ?Contexts, Systems and Modalities : a new ontology for quantum mechanics?, Found. Phys. 46, 121 (2016); arXiv:1409.2120 [quant-ph]. [2] A. Auff?ves and P. Grangier, ?Violation of Bell?s inequalities in a quantum realistic framework?, Int. J. Quantum Inform. 14, 1640002 (2016) [arXiv:1601.03966]. [3] A. Auff?ves and P.Grangier,?Recovering the quantum formalism from physically realist axioms?, Scientific Reports 7, 43365 (2017). [4] A. Auff?ves and P. Grangier, ?Extracontextuality and extravalence in quantum mechanics?, Phil. Trans. R. Soc. A 376, 20170311 (2018)[arXiv:1801.01398].


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