Constraining non-commutative space-time from GW150914
| Autor: | Kobakhidze, Archil, Lagger, Cyril, Manning, Adrian |
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| Rok vydání: | 2016 |
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| Zdroj: | Phys. Rev. D 94, 064033 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.94.064033 |
| Popis: | 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 non-commutative space-time. We show that the leading non-commutative correction to the phase of the gravitational waves produced by a binary system appears at the 2nd order of the post- Newtonian expansion. This correction is proportional to $\Lambda^2 \equiv |\theta^{0i}|^2/(l_P t_P)^2$, where $\theta^{\mu \nu}$ is the antisymmetric tensor of non-commutativity. To comply with GW150914 data, we find that $\sqrt{\Lambda} \lesssim 6$, namely less than one order of magnitude above the Planck scale. This is the most stringent bound on non-commutative scale, exceeding the previous constraints from particle physics processes by $\sim 15$ orders of magnitude. Comment: 18 pages |
| Databáze: | arXiv |
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