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Birkhoff and von Neumann: a lattice framework for quantum propositions

Contribution grade

Quantum logic · Quantum logic

Reference score155,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Closed-subspace lattice operations express a proposed quantum-proposition calculus, expose nondistributivity and explore finite-dimensional projective reconstruction under explicit extra assumptions.

Scientific scope

Closed-subspace lattice operations express a proposed quantum-proposition calculus, expose nondistributivity and explore finite-dimensional projective reconstruction under explicit extra assumptions. The physical interpretation is explicitly heuristic and includes postulates. Finite-dimensional modular/projective reconstruction requires stated extra assumptions; infinite-dimensional closed-subspace lattices need not be modular, as the paper itself shows. No unique quantum theory, experimentally mandated replacement of all classical logic, or complete later quantum-logic theory is claimed.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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