The transition from ontic potentiality to actualization of states in quantum mechanical approach to reality: The Proof of a Mathematical Theorem to Support It

It is given a preliminary discussion on the ontic nature of quantum states to be intended as potentialities and on the central role of spin to be considered as the basic essence of quantum mechanical reality. The possible fundamental role of potentialities and of spin is evidenced in the framework of physical as well as of biological reality. After such preliminary deepening, using a quantum like scheme delineated on the basis of an algebraic structure, it is given for the first time mathematical demonstration of the transition from potentiality of states to their actualization as basic mechanism of our reality.