The principle of a finite density of information

The principle of a finite density of information

Pablo Arrighi, Gilles Dowek
University of Paris-Saclay

Preprint

ABSTRACT

The possibility to describe the laws of the Universe in a computational way seems to be correlated to a principle that the density of information is bounded. This principle, that is dual to that of a finite velocity of information, has already been investigated in Physics, and is correlated to the old idea that there is no way to know a magnitude with an infinite precision. It takes different forms in classical Physics and in quantum Physics.