  A new class of stochastic variables, governed by a specifice 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 an probability amplitude formalism
in a close resemblance to Quantum Theory. This fact shows, for the first time,
that probability amplitudes are a general concept and is not exclusive to the
formalism of Quantum Theory. Application of these rules to a noisy,
one-dimensional motion, leds to a probability structure homomorphic to Quantum
Mechanics.
