Noncommutative spectral geometry, dissipation and the origin of quantization

TL;DR

This paper explores how the doubling of algebra in noncommutative spectral geometry relates to dissipation, gauge structure, and potentially provides a foundation for quantum behavior within a classical geometric framework.

Contribution

It offers a physical interpretation of the algebra doubling in noncommutative spectral geometry and links it to dissipation and the emergence of quantization.

Findings

Doubling of algebra connected to dissipation and gauge structure

Noncommutative spectral geometry may inherently contain quantization seeds

Supports 't Hooft's conjecture on classical origins of quantum mechanics

Abstract

We present a physical interpretation of the doubling of the algebra, which is the basic ingredient of the noncommutative spectral geometry, developed by Connes and collaborators as an approach to unification. We discuss its connection to dissipation and to the gauge structure of the theory. We then argue, following 't Hooft's conjecture, that noncommutative spectral geometry classical construction carries implicit in its feature of the doubling of the algebra the seeds of quantization.