A Fisher forecast shows LISA could bound graviton diffusion/drift parameters κ1, κ2 down to about 10^-56 kg m^2 s^-3, improving CMB bounds by 12 orders of magnitude, if a phase-transition or PBH background is detected.
Dowker, Introduction to causal sets and their phenomenology , Gen
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Covariant diffusion and drift of the stochastic GW background with LISA
A Fisher forecast shows LISA could bound graviton diffusion/drift parameters κ1, κ2 down to about 10^-56 kg m^2 s^-3, improving CMB bounds by 12 orders of magnitude, if a phase-transition or PBH background is detected.