Constraints on the universe as a numerical simulation
Abstract
Observable consequences of the hypothesis that the observed universe is a numerical simulation performed on a spacetime lattice or grid are explored. The simulation scenario is first motivated by extrapolating current trends in computational resource requirements for lattice QCD into the future. Using the historical development of lattice gauge theory technology as a guide, we assume that our universe is an early numerical simulation and investigate potentially observable consequences. Among the observables that are considered are the muon g  2 and the current differences between determinations of , but the most stringent bound on the inverse lattice spacing of the universe, GeV, is derived from the highenergy cut off of the cosmic ray spectrum. The numerical simulation scenario could reveal itself in the distributions of the highestenergy cosmic rays exhibiting a degree of rotational symmetry breaking that reflects the structure of the underlying lattice.
 Publication:

European Physical Journal A
 Pub Date:
 September 2014
 DOI:
 10.1140/epja/i2014141480
 arXiv:
 arXiv:1210.1847
 Bibcode:
 2014EPJA...50..148B
 Keywords:

 High Energy Physics  Phenomenology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Lattice;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 14 pages, 3 figures