Bells theorem shows that local realistic theories place strong restrictions on observable correlations between different systems, giving rise to Bells inequality which can be violated in experiments using entangled quantum states. Bells theorem is based on the assumptions of realism, locality, and the freedom to choose between measurement settings. In experimental tests, loopholes arise which allow observed violations to still be explained by local realistic theories. Violating Bells inequality while simultaneously closing all such loopholes is one of the most significant still open challenges in fundamental physics today. In this paper, we present an experiment that violates Bells inequality while simultaneously closing the locality loophole and addressing the freedom-of-choice loophole, also closing the latter within a reasonable set of assumptions. We also explain that the locality and freedom-of-choice loopholes can be closed only within non-determinism, i.e. in the context of stochastic local realism.
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