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Quantum event structures from the perspective of Grothendieck topoi

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Quantum event structures from the perspective of Grothendieck topoi
Zafiris, E
scientific_publication_article
Επιστημονική δημοσίευση - Άρθρο Περιοδικού (EL)
Scientific publication - Journal Article (EN)
2004
We develop a categorical scheme of interpretation of quantum event structures from the viewpoint of Grothendieck topoi. The construction is based on the existence of an adjunctive correspondence between Boolean presheaves of event algebras and Quantum event algebras, which we construct explicitly. We show that the established adjunction can be transformed to a categorical equivalence if the base category of Boolean event algebras, defining variation, is endowed with a suitable Grothendieck topology of covering systems. The scheme leads to a sheaf theoretical representation of Quantum structure in terms of variation taking place over epimorphic families of Boolean reference frames. (EN)
English
Ερευνητικό υλικό ΕΚΠΑ
https://creativecommons.org/licenses/by-nc/4.0/
University of Athens
Pergamos Digital Library
Journal Article



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