The Idea of a Stochastic Space–Time: Theory and Experiments

Basic foundational aspects of both quantum physics and relativity suggest that space–time may have the fundamental stochastic nature of a turbulent fluid. After reviewing the basic theoretical motivations, we have compared this picture with the phenomenological pattern observed in the ether-drift experiments. To this end, we have performed numerical simulations in which the parameters of the macroscopic Earth's cosmic motion are only used to fix the limiting boundaries for a microscopic velocity field which has instead an intrinsic stochastic nature. In this framework, both classical and modern experiments become consistent with the type of cosmic Earth's motion which today is used to describe the CMB anisotropy. The need for confirmations with a new generation of dedicated experiments is finally emphasized.