Superlogic manifolds and geometric approach to quantum logic

DOI10.1142/S0219887815501297zbMath1331.81045arXiv1505.00756MaRDI QIDQ5744176

Joseph Kouneiher, Newton C. A. Da Costa

Publication date: 17 February 2016

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

Full work available at URL: https://arxiv.org/abs/1505.00756

zbMATH Keywords

cohomologyquantum mechanicsquantum logicgeometric logicpropositional manifoldssuperlogic manifoldssuperlogical cohomology

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

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Cites Work

• Topos perspective on the Kochen-Specker theorem. I: Quantum states as generalized valuations
• Tensor products of orthoalgebras
• Topos perspective on the Kochen-Specker theorem. III: Von Neumann algebras as the base category.
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• Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
• A topos perspective on the Kochen-Specker theorem. II: Conceptual aspects and classical analogues
• The logic of quantum mechanics
• On rings of operators. III
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