Superlogic Manifolds and Geometric approach to Quantum Logic

Joseph Kouneiher; Newton Da Costa

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arXiv · 1505.00756

Superlogic Manifolds and Geometric approach to Quantum Logic

Joseph Kouneiher·Newton Da Costa

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Abstract

The main purpose of this paper is to present a new approach to logic or what we will call superlogic. This approach constitutes a new way of looking at the connection between quantum mechanics and logic. It is a {\it geometrisation} of the quantum logic. Note that this superlogic is not distributive reflecting a good propriety to describe quantum mechanics, non commutative spaces and contains a nilpotent element.

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Joseph Kouneiher, Newton Da Costa. 2015-05-04. Superlogic Manifolds and Geometric approach to Quantum Logic. https://arxiv.org/abs/1505.00756

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