The Unactualized Certainty-Actuality (UC-A) Correspondence

This talk investigates the correspondence between a set of ontic possibilities of unit measure ("unactualized certainties") and actualities, a correspondence which appears whenever possibilities and actualities are explicitly distinguished within a mathematical formalism. It does this first through the lens of a recently proposed enrichment of axiomatic probability, and then through the lens of a recently proposed modification of the standard quantum formalism, entitled the the Heisenberg Interpretation, both of which implement the formal distinction (unlike the resepctive standard formalisms).

It is found that the correspondence can clarify several conceptual aspects of quantum mechanics, including the nature of quantum states (if such a distinction is assumed) and set the stage for novel experimental predictions.