Tuesday, February 12, 2013

1302.2336 (Gaetano Lambiase et al.)

Constraints of NonCommutative Spectral Action from Gravity Probe B    [PDF]

Gaetano Lambiase, Mairi Sakellariadou, Antonio Stabile
Noncommutative spectral geometry offers a purely geometric explanation for the standard model of particle physics, including a geometric explanation for the origin of the Higgs field. Within this framework, gravity together with the electroweak and the strong forces are all described as purely gravitational forces on a unified noncommutative spacetime. In this letter, we infer a constraint on the parameter 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 the recent experimental data obtained by Gravity Probe B. We find a lower bound on the Weyl term appearing in the noncommutative spectral action, namely \beta > 1/ (10^6 m), which is much stronger than any limit imposed so far to curvature squared terms.
View original: http://arxiv.org/abs/1302.2336

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