Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymmetric random walks in a discrete spacetime as a model for quantum
  mechanics   This paper presents a simple model that mimics quantum mechanics (QM) results
in terms of probability fields of free particles subject to self-interference,
without using Schr\"{o}dinger equation or wavefunctions. Unlike the standard QM
picture, the proposed model only uses integer-valued quantities and arithmetic
operations. In particular, it assumes a discrete spacetime under the form of an
euclidean lattice. The proposed approach describes individual particle
trajectories as random walks. Transition probabilities are simple functions of
a few quantities that are either randomly associated to the particles during
their preparation, or stored in the lattice sites they visit during the walk.
Non-relativistic QM predictions, particularly self-interference, are retrieved
as probability distributions of similarly-prepared ensembles of particles.
Extension to interacting particles is discussed but not detailed in this paper.

0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex