Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-24
Phys.Rev.Lett.105:101602,2010
Physics
High Energy Physics
High Energy Physics - Theory
5 pages; slightly shorter version to match the one will appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.105.101602
The noncommutative spectral action extends our familiar notion of commutative spaces, using the data encoded in a spectral triple on an almost commutative space. Varying a rather simple action, one can derive all of the standard model of particle physics in this setting, in addition to a modified version of Einstein-Hilbert gravity. Thus, noncommutative geometry provides a geometric interpretation of particle physics coupled to curvature. In this letter we use observations of pulsar timings, assuming that no deviation from General Relativity has been observed, to constrain the gravitational sector of this theory. Thus, we directly constrain noncommutative geometry, a potential grand unified theory of physics, via astrophysical observations. Whilst the bounds on the coupling constants remain rather weak, they are comparable to existing bounds on deviations from General Relativity in other settings and are likely to be further constrained by future observations.
Nelson William
Ochoa Joseph
Sakellariadou Mairi
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