A Universal Action Formula

Abstract

A universal formula for an action associated with a noncommutative geometry, defined by a spectal triple $(\Ac ,\Hc ,D)$, is proposed. It is based on the spectrum of the Dirac operator and is a geometric invariant. The new symmetry principle is the automorphism of the algebra $\Ac $ which combines both diffeomorphisms and internal symmetries. Applying this to the geometry defined by the spectrum of the standard model gives an action that unifies gravity with the standard model at a very high energy scale.

This is a short non technical letter based on the longer version, hep-th/9606001. Tex file, 10 pages

References in corpus (2)

• Gravity coupled with matter and foundation of non-commutative geometry
• The Spectral Action Principle

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