# Geometry and the Quantum

**Authors:** Alain Connes  
**arXiv:** [1703.02470](https://arxiv.org/abs/1703.02470)  
**Date:** 2017-03-07  
**Summary page:** https://www.summarizepaper.com/fr/paper/1703.02470v1/

## 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