Generalized event structures and probabilities

TL;DR

This paper explores generalized propositional structures and probability theories that extend beyond classical and quantum frameworks, focusing on subclassicality and admissibility rules to formalize these concepts.

Contribution

It introduces a formal framework for propositional structures and probabilities that transcend classical and quantum models, emphasizing subclassicality and admissibility.

Findings

Proposes a generalized framework for propositional structures.

Defines subclassicality and admissibility rules for probabilities.

Explores non-classical, non-quantum probabilistic models.

Abstract

For the classical mind, quantum mechanics is boggling enough; nevertheless more bizarre behavior could be imagined, thereby concentrating on propositional structures (empirical logics) that transcend the quantum domain. One can also consistently suppose predictions and probabilities which are neither classical nor quantum, but which are subject to subclassicality; that is, the additivity of probabilities for mutually exclusive, co-measurable observables, as formalized by admissibility rules and frame functions.