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arXiv · 1410.7277

The geometric semantics of algebraic quantum mechanics

John Alex Cruz Morales·Boris Zilber
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Abstract

In this paper we will present an ongoing project which aims to use model theory as a suitable mathematical setting for studying the formalism of quantum mechanics. We will argue that this approach provides a geometric semantics for such formalism by means of establishing a (non-commutative) duality between certain algebraic and geometric objects.

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John Alex Cruz Morales, Boris Zilber. 2014-10-27. The geometric semantics of algebraic quantum mechanics. https://doi.org/10.1098/rsta.2014.0245

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