skip to main content

SciTech ConnectSciTech Connect

Title: Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs field. Within this framework, the gravitational, the electroweak and the strong forces are all described as purely gravitational forces on a unified noncommutative space-time. In this study, we infer a constraint on one of the three free parameters of the model, namely the one characterising the coupling constants at unification, by linearising the field equations in the limit of weak gravitational fields generated by a rotating gravitational source, and by making use of recent experimental data. In particular, using data obtained by Gravity Probe B, we set a lower bound on the Weyl term appearing in the noncommutative spectral action, namely β∼>10{sup −6}m{sup −1}. This constraint becomes stronger once we use results from torsion balance experiments, leading to β∼>10{sup 4}m{sup −1}. The latter is much stronger than any constraint imposed so far to curvature squared terms.
Authors:
;  [1] ;  [2]
  1. Dipartimento di Fisica ''E.R. Caianiello'', Università di Salerno, Fisciano, 84084 (Italy)
  2. Department of Physics, King's College London, University of London, Strand, London, WC2R 2LS (United Kingdom)
Publication Date:
OSTI Identifier:
22369865
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COMMUTATION RELATIONS; COUPLING CONSTANTS; FIELD EQUATIONS; GEOMETRY; GRAVITATIONAL FIELDS; HIGGS BOSONS; HIGGS MODEL; LIMITING VALUES; ORIGIN; SPACE-TIME; STANDARD MODEL; TORSION