Internal Space for the Noncommutative Geometry Standard Model and Strings

Abstract

In this paper I discuss connections between the noncommutative geometry approach to the standard model on one side, and the internal space coming from strings on the other. The standard model in noncommutative geometry is described via the spectral action. I argue that an internal noncommutative manifold compactified at the renormalization scale, could give rise to the almost commutative geometry required by the spectral action. I then speculate how this could arise from the noncommutative geometry given by the vertex operators of a string theory.

1+22 pages. More typos and misprints corrected

References in corpus (2)

• A Lorentzian version of the non-commutative geometry of the standard model of particle physics
• Noncommutative Geometry and the standard model with neutrino mixing

Cited by in corpus (1)

• The scalar wave equation in a non-commutative spherically symmetric space-time