Abstract :
A new class of stochastic variables, governed by a specific set of rules, is introduced. These rules force them to loose some properties usually assumed for this kind of variables. We demonstrate that stochastic processes driven by these random sources must be described using a probability amplitude formalism in a close resemblance to Quantum Theory. This fact shows, for the first time, that probability amplitude is a general concept, not exclusive to the formalism of Quantum Theory. Application of these rules to a noisy, one-dimensional motion, leads to a probability structure homomorphic to Quantum Mechanics.
