Abstract
A liaison between quantum logics and non-commutative differential geometry isoutlined: a class of quantum logics are proved to possess the structure of discretedifferential manifolds. We show that the set of proper elements of an arbitraryatomic Greechie logic is naturally endowed by Koszul's differential calculus.
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Breslav, R.B., Zapatrin, R.R. Differential Structure of Greechie Logics. International Journal of Theoretical Physics 39, 1027–1035 (2000). https://doi.org/10.1023/A:1003698307300
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DOI: https://doi.org/10.1023/A:1003698307300