Abstract

We consider the gravitational analogue of Lyman-alpha absorption lines in astronomical spectroscopy. If Einstein gravity with minimally coupled matter is valid up to the Planck scale, quantum bound states absorb gravitons of a specific frequency with Planckian cross section, $\sigma_{\text{abs}} \approx l_p^2$. Consequently, one can show that gravitational absorption by bound states is inefficient in ordinary gravity. If observed, gravitational absorption lines would therefore constitute a powerful smoking gun of new exotic astrophysical bound states (near extremal bound states) or new gravitational physics, as well as give direct evidence of the quantized nature of the gravitational field. We provide, as an example of new gravitational physics near the Planck scale, a non-minimal coupling of the matter fields which breaks the equivalence principle on-shell. We lay out a model in which absorption lines in the primordial gravitational wave spectrum are produced as a consequence of this coupling.

Highlights

  • When gravitational waves travel through a medium, they are generally absorbed and reemitted by the intervening matter

  • The absorption of gravitational waves in a cosmological setting was first studied by Hawking [1], who calculated the absorption rate of gravitational radiation by viscous matter

  • The absorption processes so far considered in the literature all involve the interaction between a graviton and a scattering state, that is a quantum state of matter with a continuous energy spectrum

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Summary

INTRODUCTION

When gravitational waves travel through a medium, they are generally absorbed and reemitted by the intervening matter. All bound states absorb gravitons with the same probability, independently of their internal structure, such as their mass or coupling This includes purely gravitational atoms [5], which consist of near Planckian particles bound together by gravity. We show that gravitational absorption can be marginally efficient (the optical depth reaches order one) if the absorbing material is a maximally dense condensate of a bosonic field with discrete energy levels We believe it will be very difficult to have a consistent effective quantum field theory description of Nature below the Planck scale without quantizing gravity and introducing a graviton, gravitational absorption lines would provide a way to discriminate between classical and quantum gravity at the observational level. Perhaps more importantly, they would confirm that the gravitational field is quantized at low energies, effectively proving the existence of gravitons

A NO-GO ARGUMENT
Heuristic no-go in standard cosmology
Relation to Dyson’s conjecture
A CAVEAT
EVADING THE NO-GO
Absorption cross section
Ionization cross section
Multiparticle atoms and generic bound states
Planck suppressed corrections
Findings
D ÃijDij jDiij2
Full Text
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