Noncommutative spectral geometry, dissipation and the origin of quantization
Mathematical Physics
2015-06-03 v1 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1201.5743,
title = {Noncommutative spectral geometry, dissipation and the origin of quantization},
author = {Mairi Sakellariadou and Antonio Stabile and Giuseppe Vitiello},
journal= {arXiv preprint arXiv:1201.5743},
year = {2015}
}
Comments
9 pages, to appear in the Proceedings of the international conference "Emergent Quantum Mechanics (EmerQuM11)", November 11-13, 2011, University of Vienna