Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic Causal Sets and the Wolfram Model   The formal relationship between two differing approaches to the description
of spacetime as an intrinsically discrete mathematical structure, namely causal
set theory and the Wolfram model, is studied, and it is demonstrated that the
hypergraph rewriting approach of the Wolfram model can effectively be
interpreted as providing an underlying algorithmic dynamics for causal set
evolution. We show how causal invariance of the hypergraph rewriting system can
be used to infer conformal invariance of the induced causal partial order, in a
manner that is provably compatible with the measure-theoretic arguments of
Bombelli, Henson and Sorkin. We then illustrate how many of the local dimension
estimation algorithms developed in the context of the Wolfram model may be
reformulated as generalizations of the midpoint scaling estimator on causal
sets, and are compatible with the generalized Myrheim-Meyer estimators, as well
as exploring how the presence of the underlying hypergraph structure yields a
significantly more robust technique for estimating spacelike distances when
compared against several standard distance and predistance estimator functions
in causal set theory. We finally demonstrate how the Benincasa-Dowker action on
causal sets can be recovered as a special case of the discrete Einstein-Hilbert
action over Wolfram model systems (with ergodicity assumptions in the
hypergraph replaced by Poisson distribution assumptions in the causal set), and
also how both classical and quantum sequential growth dynamics can be recovered
as special cases of Wolfram model multiway evolution with an appropriate choice
of discrete measure.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio