2019
DOI: 10.1103/physrevlett.122.081301
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Can We Probe Planckian Corrections at the Horizon Scale with Gravitational Waves?

Abstract: Future detectors could be used as a gravitational microscope to probe the horizon structure of merging black holes with gravitational waves. But can this microscope probe the quantum regime? We study this interesting question and find that (i) the error in the distance resolution is exponentially sensitive to errors in the Love number, and (ii) the uncertainty principle of quantum gravity forces a fundamental resolution limit. Thus, although the gravitational microscope can distinguish between black holes and … Show more

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Cited by 46 publications
(64 citation statements)
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“…15). Due to the logarithmic scaling, in these models the statistical errors on would depend exponentially on the TLNs and reaching a Planckian requires a very accurate measurement of k [407]. Nonetheless, this does not prevent to perform ECO model selection (see Fig.…”
Section: Tidal Deformabilitymentioning
confidence: 99%
“…15). Due to the logarithmic scaling, in these models the statistical errors on would depend exponentially on the TLNs and reaching a Planckian requires a very accurate measurement of k [407]. Nonetheless, this does not prevent to perform ECO model selection (see Fig.…”
Section: Tidal Deformabilitymentioning
confidence: 99%
“…We would like to thank Bruce Allen, Vitor cardoso, Badri Krishnan, Alex working support by the COST Action GWverse CA16104. 5 The uncertainty principle of quantum gravity may set a fundamental resolution limit to GW observations that is well above the Planckian scale [70]. Our estimate is different from [70] as we do not measure any Planckian effect and the lower bound on the entropy partially comes from a theoretical consideration.…”
Section: Acknowledgmentsmentioning
confidence: 74%
“…In a binary system the TD phase takes into account the response of one of the two objects to the external gravitational field of the other, and the effect can be parametrized in terms of the so-called Love numbers, which can be non-zero for a horizonless object [89][90][91][92]. The non-zero leading term for the phase TD in the PN expansion is given by [83,93] TD ( f ) = − N 6M 5 v 10 (1 + q) 2 q ,…”
Section: Love Numbersmentioning
confidence: 99%