Toward quantum mathematics. I. From quantum set theory to universal quantum mechanics
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Publication:4701791
DOI10.1063/1.532806zbMath0960.81002OpenAlexW2065365881MaRDI QIDQ4701791
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
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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