Quantum Logic as the Logic of Contexts
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. 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. With this calculus we establish three results. First, we ...
| Authors | Haruki Emori, Atsushi Iriki, Andrei Khrennikov et al. |
|---|---|
| Primary category | quant-ph |
| Published | 10 July 2026 |
| Last updated at source | 10 July 2026 |
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