Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Replacing the Notion of Spacetime Distance by the Notion of Correlation   Spacetime is conventionally viewed as a stage on which actors, in the form of
fields, move. Here, we explore what may lie beyond this picture. The starting
point is the observation that quantum fluctuations of fields are the more
strongly correlated the shorter their spacetime distance. As a consequence, the
notion of spacetime distance, including the metric as its infinitesimal
version, can be replaced by the notion of correlation strength. This suggests a
new picture in which abstract (2-point and multi-point) correlators are the
primary structure. In general, these abstract correlators can only be described
as information theoretic structures and, in principle, they need not bear any
relationship to quantum fields or spacetimes. These correlators may allow
approximations, however, so that, in certain regimes, they can be
mathematically approximately represented as the 2-point and multi-point
functions of quantum fields living on a spacetime. In this way, the standard
picture of a curved spacetime with fields whose correlators arise from Feynman
rules would merely be a convenient approximate picture, while the underlying
picture is that of a spacetime-less and field-less information-theoretic
structure of abstract correlations.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph