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4 papers
Topos-theoretic Relativization of Physical Representability and Quantum Gravity
Elias Zafiris, Anastasios Mallios
In the current debate referring to the construction of a tenable background independent theory of Quantum Gravity we introduce the notion of topos-theoretic relativization of physi…
Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations
Elias Zafiris
We construct a sheaf-theoretic representation of quantum observables algebras over a base category equipped with a Grothendieck topology, consisting of epimorphic families of commu…
Categorical Foundations of Quantum Logics and Their Truth Values Structures
Elias Zafiris
We introduce a foundational sheaf theoretical scheme for the comprehension of quantum event structures, in terms of localization systems consisting of Boolean coordinatization cove…
Boolean Coverings of Quantum Observable Structure: A Setting for an Abstract Differential Geometric Mechanism
Elias Zafiris
We develop the idea of employing localization systems of Boolean coverings, associated with measurement situations, in order to comprehend structures of Quantum Observables. In thi…