TOPOS-THEORETIC CLASSIFICATION OF QUANTUM EVENTS STRUCTURES IN TERMS OF BOOLEAN REFERENCE FRAMES

DOI10.1142/S0219887806001776zbMath1113.81011MaRDI QIDQ3422207

Elias Zafiris

Publication date: 9 February 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

quantum logicsubobject classifiersheavestopos theoryadjunctionquantum measurementBoolean coveringsquantum events structures

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Fibered categories (18D30) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Applications of local differential geometry to the sciences (53B50) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Local categories and functors (18F05) Topos-theoretic approach to differentiable manifolds (58A03)

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Boolean coverings of quantum observable structure: a setting for an abstract differential geometric mechanism ⋮ A sheaf-theoretic topos model of the physical ‘Continuum’ and its cohomological observable dynamics ⋮ Boolean information sieves: a local-to-global approach to quantum information

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