On the logical foundations of the Jauch-Piron approach to quantum physics |
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Authors: | Gianpiero Cattaneo Carlo Dalla Pozza Claudio Garola Giuseppe Nisticò |
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Affiliation: | (1) Dipartimento di Scienze dell'informazione, Università di Milano, Milan, Italy;(2) Dipartimento di Fisica, Università di Lecce, Lecce, Italy;(3) Dipartimento di Matematica, Università della Calabria, Arcavacata di Rende, Italy |
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Abstract: | We make a critical analysis of the basic concepts of the Jauch-Piron (JP) approach to quantum physics. Then, we exhibit a formalized presentation of the mathematical structure of the JP theory by introducing it as a completely formalized syntactic system, i.e., we construct a formalized languageLe and formally state the logical-deductive structure of the JP theory by means ofLe. Finally, we show that the JP syntactic system can be endowed with an intended interpretation, which yields a physical model of the system. A mathematical model endowed with a physical interpretation is given which establishes (in the usual sense of the model theory) the coherence of the JP syntactic system. |
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