The Noncommutative Constraints on the Standard Model \`a la Connes

TL;DR

This paper refines and exhaustively characterizes the noncommutative geometric constraints on the standard model, linking masses and gauge couplings.

Contribution

It provides a comprehensive analysis of noncommutative geometry constraints, clarifying their implications for the standard model parameters.

Findings

Refined relations among masses and gauge couplings.

Demonstrated the exhaustiveness of these geometric constraints.

Enhanced understanding of noncommutative geometry's role in particle physics.

Abstract

Noncommutative geometry applied to the standard model of electroweak and strong interactions was shown to produce fuzzy relations among masses and gauge couplings. We refine these relations and show then that they are exhaustive.