Inconsistencies of Fine’s Prism Models

Abstract

The concept of a prism model was introduced by Arthur Fine to be used for local and realistic descriptions of quantum statistics. Recently Feintzeig and Fletcher have shown that a wide class of generalizations of the classical probability model are incapable of replicating the quantum statistics for certain experiments. We employ a modification of their strategy to see under what conditions prism models cannot replicate quantum statistics. In doing so we differentiate two interpretations: one which we can show to be inconsistent in replicating the statistics of certain experiments, and one which commits to unavoidable rejection rates for certain experiments.