Quantum Logic as the Logic of Contexts
We argue for the opposite order of explanation in a finite and fully computable setting. The free orthomodular lattice on two generators has ninety-six elements, the direct product of a six-element non-distributive factor and a sixteen-element Boolean factor. Reading the first factor as a register of contexts and the second as Boolean content, we obtain a calculus whose elements are context--bit-vector pairs and whose operations act component by component.
- ▪We argue for the opposite order of explanation in a finite and fully computable setting.
- ▪The free orthomodular lattice on two generators has ninety-six elements, the direct product of a six-element non-distributive factor and a sixteen-element Boolean factor.
- ▪Reading the first factor as a register of contexts and the second as Boolean content, we obtain a calculus whose elements are context--bit-vector pairs and whose operations act component by component.
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Quantum Physics arXiv:2607.09032 (quant-ph) [Submitted on 10 Jul 2026] Title:Quantum Logic as the Logic of Contexts Authors:Haruki Emori, Atsushi Iriki, Andrei Khrennikov, Kazunori Kondo View a PDF of the paper titled Quantum Logic as the Logic of Contexts, by Haruki Emori and 3 other authors View PDF HTML (experimental) Abstract:Quantum logic is usually presented as a non-classical departure from ordinary reasoning forced on us by quantum mechanics, with classical logic kept as the secure starting point. We argue for the opposite order of explanation in a finite and fully computable setting. The free orthomodular lattice on two generators has ninety-six elements, the direct product of a six-element non-distributive factor and a sixteen-element Boolean factor.
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