Noncommutative geometry and the standard model
Thomas Schucker (Marseille)
TL;DR
This paper explains how Alain Connes uses noncommutative geometry to derive the standard model of particle physics, connecting advanced mathematical frameworks with fundamental physical theories.
Contribution
It presents a detailed account of Connes' approach to deriving the standard model from noncommutative geometry, highlighting its novelty in unifying physics and mathematics.
Findings
Derivation of the standard model from noncommutative geometry
Comparison with historical derivations in physics
Insight into the geometric structure underlying fundamental forces
Abstract
The aim of this contribution is to explain how Connes derives the standard model of electromagnetic, weak and strong forces from noncommutative geometry. The reader is supposed to be aware of two other derivations in fundamental physics: the derivation of the Balmer-Rydberg formula for the spectrum of the hydrogen atom from quantum mechanics and Einstein's derivation of gravity from Riemannian geometry.
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