Supermeasured: Violating Bell-Statistical Independence Without Violating Physical Statistical Independence

Abstract Bell’s theorem is often said to imply that quantum mechanics violates local causality, and causality cannot be restored with a hidden-variables theory. This however only correct if the theory fulfils an assumption called Statistical Independence. Violations of Independence are commonly interpreted as correlations between measurement settings hidden variables (which determine outcomes). Such have been discarded “fine-tuning” or “conspiracy”. We here point out common interpretation at best physically ambiguous worst incorrect. The problem might violated because non-trivial measure in state space, possibility we propose call “supermeasured”. use Invariant Set Theory example supermeasured without requiring (physical statistical independence).