Phys. Rev. Lett. 77, 4868–4871 (1996)Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard ModelReceived 17 June 1996; published in the issue dated 9 December 1996 A universal formula for an action associated with a noncommutative geometry, defined by a spectral triple (A,H,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 A 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. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4868
DOI:
10.1103/PhysRevLett.77.4868
PACS:
04.62.+v, 02.40.-k, 11.15.-q, 11.30.Ly
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