  This paper presents a simple model that mimics quantum mechanics (QM) results
without using complex wavefunctions or non-localities. The proposed model only
uses integer-valued quantities and arithmetic operations, in particular
assuming a discrete spacetime under the form of a 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 nodes they visit during the walk. Non-relativistic QM
predictions are retrieved as probability distributions of similarly-prepared
ensembles of particles. The scenarios considered to assess the model comprise
of free particle, constant external force, harmonic oscillator, particle in a
box, and the Delta potential.

General Physics