Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Glimmers of a post-geometric perspective   Quantum gravitational effects can become important at low energy if the
wavefunction of the metric field fails to be peaked around a classical
configuration. We try to understand such deviations from classicality within
canonical quantum gravity by introducing a "fluid of observers" in the low
energy theory and defining a distance operator "at equal time" among them. We
find that, even in the presence of relevant fluctuations in the metric field, a
locally flat limit is recovered in the neighbourhood of each observer.
Deviations from classicality have no particular consequence, locally. However,
at larger separations the expectation value of the distance operator behaves
differently than a standard Riemannian distance. In particular, it is
non-additive and thus cannot be obtained by the integral of a differential line
element. This emerging "beyond Riemannian" geometry is a metric space similar
to embedded Riemannian manifolds equipped with chord distances that cut through
the ambient space. We study deviations from flat space by looking at triangles
in the limit where their sizes go to zero. Beyond-Riemannian deviations with
respect to flat space are of the same order as standard Riemannian ones, but
qualitatively different. Possible connections with holography and with the
black hole information paradox are briefly discussed.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
16
The categories of this paper are: stat