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Remarks on Quantum Physics and Noncommutative Geometry

Lucian M. Ionescu
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Abstract

The "quantum-event / prime ideal in a category/ noncommutative-point" alternative to "classical-event / commutative prime ideal/ point" is suggested. Ideals in additive categories, prime spectra and representation of quivers are considered as mathematical tools appropriate to model quantum mechanics. The space-time framework is to be reconstructed from the spectrum of the path category of a quiver. The interference experiment is considered as an example.

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Lucian M. Ionescu. 2000-06-04. Remarks on Quantum Physics and Noncommutative Geometry. https://arxiv.org/abs/math/0006024

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