Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What gravity waves are telling about quantum spacetime   We discuss various modified dispersion relations motivated by quantum gravity
which might affect the propagation of the recently observed gravitational-wave
signal of the event GW150914. We find that the bounds set by the data on the
characteristic quantum-gravity mass scale $M$ are too weak to constrain these
scenarios and, in general, much weaker than the expected $M> 10^4\,\text{eV}$
for a correction to the dispersion relation linear in $1/M$. We illustrate this
issue by giving lower bounds on $M$, plus an upper bound coming from
constraints on the size of a quantum ergosphere. We also show that a
phenomenological dispersion relation $\omega^2 = k^2(1+\alpha k^n/M^n)$ is
compatible with observations and, at the same time, has a phenomenologically
viable mass $M>10\,\text{TeV}$ only in the quite restrictive range $0<n<0.68$.
Remarkably, this is the domain of multiscale spacetimes but not of known
quantum-gravity models.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics