When Intrinsic Randomness Could Come From the Finite/Infinite Transition

Abstract

Quantum physics is non-causal, and randomness is so-called “intrinsic”. We propose no less than an 18th interpretation of it through non-Archimedean geometry to bring back causality, respect of the Kolmogorov axioms and the existence of hidden variables. For these latter ones, we show that they cannot be in any Hilbert space and hence could not be detected in any traditional experiment. We end through proposing two experiments which would prove the non-Archimedean nature of our universe. The first one consists in a new disruptive type of quantum radar. The second one explains how viscosity naturally occurs in fluid mechanics whereas Boltzmann’s approach only considers elastic shocks at the molecular scale.