Toward quantum mathematics. I. From quantum set theory to universal quantum mechanics

DOI10.1063/1.532806zbMath0960.81002OpenAlexW2065365881MaRDI QIDQ4701791

Karl-Georg Schlesinger

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532806

zbMATH Keywords

quantum set theoryset theory with an internal quantum logic

Mathematics Subject Classification ID

Topoi (18B25) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (7)

The geometry of discrete \(L\)-algebras ⋮ Quantum collections ⋮ Discrete quantum structures. I: Quantum predicate logic ⋮ Quantum sets ⋮ Quantum number theory ⋮ A theory of computation based on quantum logic. I ⋮ Ortho-sets and Gelfand spectra

Cites Work

• Nonlinear gravitons and curved twistor theory
• A relativity principle in quantum mechanics
• Higher-dimensional algebra. III: \(n\)-categories and the algebra of opetopes
• Higher algebraic structures and quantization
• Higher-dimensional algebra. II: 2-Hilbert spaces
• The logic of quantum mechanics
• Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
• On topology and quantum mechanics
• Higher-dimensional algebra and topological quantum field theory
• Clock and category: Is quantum gravity algebraic?

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