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We introduce and explore Rafael Sorkin's \textit{evolving co-event scheme}: atheoretical framework for determining completely which events do and do nothappen in evolving quantum, or indeed classical, systems. The theory isobserver-independent and constructed from discrete histories, making theframework a potential setting for discrete quantum cosmology and quantumgravity, as well as ordinary discrete quantum systems. The foundation of thistheory is Quantum Measure Theory, which generalises (classical) measure theoryto allow for quantum interference between alternative histories; and itsco-event interpretation, which describes whether events can or can not occur,and in what combination, given a system and a quantum measure. In contrast toprevious co-event schemes, the evolving co-event scheme is applied in stages,in the stochastic sense, without any dependence on later stages, making itmanifestly compatible with an evolving block view. It is shown that theco-event realities produced by the basic evolving scheme do not depend on theinclusion or exclusion of zero measure histories in the history space, whichfollows non-trivially from the basic rules of the scheme. It is also shown thatthis evolving co-event scheme will reduce to producing classical realities whenit is applied to classical systems.

Evolving Realities for Quantum Measure Theory