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EnglishWe give a model of the basic Jauch-Piron (JP) approach to quantum physics, i.e., of “preparation-question structure” (with four basic axioms and without axioms C, P, A), in terms of Ludwig's “selection structure”; in the latter structure the primitive notion of “individual sample” of a physical entity is formally described (without making reference to any probability concept). Once we interpret Piron's concept of “question” in Ludwig's context of a selection structure, we find that there is no difficulty in formalizing notions such as “performable together questions”; moreover, results such as “α ∼∼=α” or “(αδΒ)∼=α ∼▽Β∼” can be formally proved. We develop the theory along the lines of the JP approach; the set of JP propositions is derived and it turns out to be a complete lattice, as happens in Piron's theory, but with a different physical interpretation of the lattice operations. Finally, we study some connections between the standard Ludwig foundation and our approach.
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| Titolo: | A model of Piron's preparation-question structures in Ludwig's selection structures |
| Autori: | |
| Data di pubblicazione: | 1993 |
| Rivista: | |
| Handle: | http://hdl.handle.net/20.500.11770/132724 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/20.500.11770/132724
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