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On Classical and Quantum Objectivity

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Abstract

We propose a conceptual framework for understanding the relationship between observables and operators in mechanics. To do so, we introduce a postulate that establishes a correspondence between the objective properties permitting to identify physical states and the symmetry transformations that modify their gauge dependant properties. We show that the uncertainty principle results from a faithful—or equivariant—realization of this correspondence. It is a consequence of the proposed postulate that the quantum notion of objective physical states is not incomplete, but rather that the classical notion is overdetermined.

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Authors and Affiliations

  1. CREA, UMR 7656, École Polytechnique/CNRS, 1 rue Descartes, 75005, Paris, France

    Gabriel Catren

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  1. Gabriel Catren
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Correspondence to Gabriel Catren.

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Catren, G. On Classical and Quantum Objectivity. Found Phys 38, 470–487 (2008). https://doi.org/10.1007/s10701-008-9216-2

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  • DOI: https://doi.org/10.1007/s10701-008-9216-2

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