Geometry and the Quantum
Abstract
We give a survey of our joint ongoing work with Ali Chamseddine, Slava Mukhanov and Walter van Suijlekom. We show how a problem purely motivated by "how geometry emerges from the quantum formalism" gives rise to a slightly noncommutative structure and a spectral model of gravity coupled with matter which fits with experimental knowledge. This text will appear as a contribution to the volume: "Foundations of Mathematics and Physics one century after Hilbert". Editor: Joseph Kouneiher. Collection Mathematical Physics, Springer 2017
Cite
@article{arxiv.1703.02470,
title = {Geometry and the Quantum},
author = {Alain Connes},
journal= {arXiv preprint arXiv:1703.02470},
year = {2017}
}
Comments
To appear in a volume dedicated to the centenary of Hilbert's work on the foundations of physics: "Foundations of Mathematics and Physics one century after Hilbert". Editor: Joseph Kouneiher. Collection Mathematical Physics, Springer 2017