Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Causality implies formal state collapse   A physical theory of experiments carried out in a space-time region can
accommodate a detector localized in another space-like separated region, in
three, not necessarily exclusive, ways: 1) the detector formally collapses
physical states across space-like separations, 2) the detector enables
superluminal signals, and 3) the theory becomes logically inconsistent. If such
a theory admits autonomous evolving states, the space-like collapse must be
instantaneous. Time-like separation does not allow such conclusions. We also
prove some simple results on structural stability: within the set of all
possible theories, under a weak empirical topology, the set of all theories
with superluminal signals and the set of all theories with retrograde signals
are both open and dense.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci