Quantum causal structure and the Einstein-Podolsky-Rosen experiment (Q1118583)

The author introduces a new conception of causality based on a so called quantum causal structure (its presentation is very brief and for more details and motivation the reader is referred to the author's papers in J. Math. Phys. 27, 2709-2710 (1986) and Int. J. Theor. Phys. 26, 833-843 (1987; Zbl 0647.03056). In this structure the causality relation (as well as the chronology relation) is described by a pair of partial orderings of events. The author proves that the Einstein-Podolsky-Rosen paradox can be resolved on a finite lattice \({\mathcal S}\) describing this experiment, and also on any finite lattice containing \({\mathcal S}\).