The Spectral Action Principle
Ali H. Chamseddine, Alain Connes (ETH, I.H.E.S)

TL;DR
The paper introduces a spectral action principle for noncommutative spaces that reproduces the standard model coupled with gravity and predicts relations among coupling constants at high energy.
Contribution
It formulates a new spectral action principle applicable to noncommutative geometries, linking the standard model with gravity and unifying coupling constants.
Findings
Reproduces the standard model coupled to Einstein and Weyl gravity
Predicts gauge coupling relations similar to $SU(5)$
Identifies Higgs self-coupling relations at high energy
Abstract
We propose a new action principle to be associated with a noncommutative space . The universal formula for the spectral action is where is a spinor on the Hilbert space, is a scale and a positive function. When this principle is applied to the noncommutative space defined by the spectrum of the standard model one obtains the standard model action coupled to Einstein plus Weyl gravity. There are relations between the gauge coupling constants identical to those of as well as the Higgs self-coupling, to be taken at a fixed high energy scale.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
