• Is the Universe a Simulation?
    http://www.nytimes.com/2014/02/16/opinion/sunday/is-the-universe-a-simulation.html

    But one fanciful possibility is that we live in a computer simulation based on the laws of mathematics — not in what we commonly take to be the real world. According to this theory, some highly advanced computer programmer of the future has devised this simulation, and we are unknowingly part of it. Thus when we discover a mathematical truth, we are simply discovering aspects of the code that the programmer used.

    Constraints on the Universe as a Numerical Simulation
    http://arxiv.org/abs/1210.1847

    Silas R. Beane, Zohreh Davoudi, Martin J. Savage
    (Submitted on 4 Oct 2012 (v1), last revised 9 Nov 2012 (this version, v2))

    Observable consequences of the hypothesis that the observed universe is a numerical simulation performed on a cubic space-time lattice or grid are explored.

    Extrapolations to the distant futurity of trends in the growth of high-performance com-
    puting (HPC) have led philosophers to question —in a logically compelling way— whether
    the universe that we currently inhabit is a numerical simulation performed by our distant
    descendants

    • Il faut extrapoler pas mal…

      D’après le papier, on arrivera à simuler des univers d’une dimension de l’ordre du mètre autour de 2140… Outre la résolution ultérieure de quelques petits problèmes théoriques encore un peu opaques (comme l’unification de la gravitation et de la mécanique quantique, résolution du modèle inférieure — de plusieurs ordres de grandeur — à la longueur de Planck…) cela nécessite également diverses hypothèses dont la poursuite de la loi de Moore et bien sûr, en l’absence de ruptures technologiques

      Related to this is the possible existence of the technological singularity, which could alter the curve in unpredictable ways.

      ou autres…

      And, of course, human extinction would terminate the exponential growth.

      La conclusion n’est guère optimiste sur les possibilités réalistes de détecter la simulation, mais, conceptuellement, c’est possible (du moins, si l’univers est fini).

      Nevertheless, assuming that the universe is finite and therefore theresources of potential simulators are finite, then a volume containing a simulation will be finite and a lattice spacing must be non-zero, and therefore in principle there always remains the possibility for the simulated to discover the simulators.