Information Mechanics: Hypothesis & Evidence

The Bernoulli Process is one of the simplest mechanisms to model a discrete random walk.  We explore the possibility that particles in nature follow the Bernoulli Process and we examine resulting implications.  While it is possible to set the parameters of the process such that the first moment of the particle’s locations follow special relativity exactly, the second moment brings new physical insight.  Specifically, the variance of the particle’s location is dependent on the particle’s velocity.  Since no reference frame is given, we deem this velocity absolute.  Furthermore, it is possible to calculate this velocity by a measurement of the particle’s variance over time from the magnitude and phase of the Fourier Transform of the variance of the space time location.  We present the results of an experiment to measure the absolute value of the jitter on a pair of atomic clocks as a proxy for variance and show that by following the hypothesis, the resulting velocity of the laboratory is the same as it is in the Cosmic Microwave Background Reference Frame (the obvious choice if a preferred frame existed).  These data indicate we are able to measure the velocity of a particle without specifying any reference frame, a break from our current understanding of physics.