The geometric semantics of algebraic quantum mechanics
Mathematical Physics
2016-02-17 v1 math.MP
Quantum Algebra
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.
Cite
@article{arxiv.1410.7277,
title = {The geometric semantics of algebraic quantum mechanics},
author = {John Alex Cruz Morales and Boris Zilber},
journal= {arXiv preprint arXiv:1410.7277},
year = {2016}
}