A generalized definition of Bell’s local causality

Synthese 193 (10) (2016)
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Abstract

This paper aims to implement Bell’s notion of local causality into a framework, called local physical theory, which is general enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell’s original idea of local causality will then arise as the classical case of our definition. First, we investigate what is needed for a local physical theory to be locally causal. Then we compare local causality with Reichenbach’s common cause principle and relate both to the Bell inequalities. We find a nice parallelism: both local causality and the common cause principle are more general notions than captured by the Bell inequalities. Namely, Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively

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The direction of time.Hans Reichenbach - 1956 - Mineola, N.Y.: Dover Publications. Edited by Maria Reichenbach.
Interpreting Quantum Theories: The Art of the Possible.Laura Ruetsche - 2011 - Oxford, GB: Oxford University Press UK.
The Direction of Time.Hans Reichenbach - 1956 - Philosophy 34 (128):65-66.
Quantum nonlocality as an axiom.Sandu Popescu & Daniel Rohrlich - 1994 - Foundations of Physics 24 (3):379-385.

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