God's Dice

EasyChair Preprint 3496

Abstract

Einstein wrote his famous sentence "God does not play dice with the universe" in a letter to Max Born in 1920. All experiments have confirmed that quantum mechanics is neither wrong nor “incomplete”. One can says that God does play dice with the universe. Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. God’s dice turns out to be a qubit and thus having the shape of a unit ball. Any item in the universe as well the universe itself is both infinitely many rolls and a single roll of that dice for it has infinitely many “sides”. Thus both the smooth motion of classical physics and the discrete motion introduced in addition by quantum mechanics can be described uniformly correspondingly as an infinite series converges to some limit and as a quantum jump directly into that limit. The second, imaginary dimension of God’s dice corresponds to energy, i.e. to the velocity of information change between two probabilities in both series and jump.

Keyphrases: Einstein vs quantum mechanics, Fermat’s Last Theorem, Gleason’s theorem, Kolmogorov’s axiom of probability, qubit

@booklet{EasyChair:3496,
  author    = {Vasil Penchev},
  title     = {God's Dice},
  howpublished = {EasyChair Preprint 3496},
  year      = {EasyChair, 2020}}