Differential structure of Greechie logics

Physics – Quantum Physics

Scientific paper

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11 pages, latex

Scientific paper

A liaison between quantum logics and non-commutative differential geometry is
outlined: a class of quantum logics are proved to possess the structure of
discrete differential manifolds. We show that the set of proper elements of an
arbitrary atomic Greechie logic is naturally endowed by Koszul's differential
calculus.

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