  The apparent nonlocality of quantum theory has been a persistent concern.
Einstein et. al. (1935) and Bell (1964) emphasized the apparent nonlocality
arising from entanglement correlations. While some interpretations embrace this
nonlocality, modern variations of the Everett-inspired many worlds
interpretation try to circumvent it. In this paper, we review Bell's "no-go"
theorem and explain how it rests on three axioms, local causality, no
superdeterminism, and one world. Although Bell is often taken to have shown
that local causality is ruled out by the experimentally confirrmed entanglement
correlations, we make clear that it is the conjunction of the three axioms that
is ruled out by these correlations. We then show that by assuming local
causality and no superdeterminism, we can give a direct proof of many worlds.
The remainder of the paper searches for a consistent, local, formulation of
many worlds. We show that prominent formulations whose ontology is given by the
wave function violate local causality, and we critically evaluate claims in the
literature to the contrary. We ultimately identify a local many worlds
interpretation that replaces the wave function with a separable
Lorentz-invariant wave-field. We conclude with discussions of the Born rule,
and other interpretations of quantum mechanics.
