Causality for nonlocal phenomena

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Written by Tomasz Miller

The talk will be based on a joint work with M.Eckstein [1], in which we propose and study the extension of the causal precedence relation onto the space of Borel probability measures on a given spacetime M. I will present several conditions on what it might mean that one measure causally precedes the other, and show they are all equivalent if a spacetime has a sufficiently robust causal structure. I will also introduce the suitable extension of the Lorentzian distance between measures and discuss possible applications of the developed formalism in the study of causality in quantum theory. [1] M.Eckstein, T.Miller, Causality for nonlocal phenomena, arXiv:1510.06386