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Constraining noncommutative spacetime from GW150914

Archil Kobakhidze^*, Cyril Lagger^†, and Adrian Manning^‡

ARC Centre of Excellence for Particle Physics at the Terascale, School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia

^*archil.kobakhidze@sydney.edu.au
^†cyril.lagger@sydney.edu.au
^‡adrian.manning@sydney.edu.au

Phys. Rev. D 94, 064033 – Published 13 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.064033

Abstract

The gravitational wave signal GW150914, recently detected by LIGO and Virgo collaborations, is used to place a bound on the scale of quantum fuzziness of noncommutative space-time. We show that the leading noncommutative correction to the phase of the gravitational waves produced by a binary system appears at the second order of the post-Newtonian expansion. This correction is proportional to $Λ^{2} \equiv | θ^{0 i} |^{2} / (l_{P} t_{P})^{2}$ , where $θ^{μ ν}$ is the antisymmetric tensor of noncommutativity. To comply with GW150914 data, we find that $\sqrt{Λ} ≲ 3.5$ , namely at the order of the Planck scale. This is the most stringent bound on the noncommutative scale, exceeding the previous constraints from particle physics processes by $\sim 15$ orders of magnitude.

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Constraining noncommutative spacetime from GW150914

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