On Classical and Quantum Objectivity |
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Authors: | Gabriel Catren |
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Affiliation: | (1) CREA, UMR 7656, école Polytechnique/CNRS, 1 rue Descartes, 75005 Paris, France |
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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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Keywords: | Quantum mechanics Symplectic mechanics |
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