Causality and Quantum Mechanics

Peter J. Riggs

Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3 more

This paper begins the study of the relation between causality and quantum mechanics, taking advantage of the groupoidal description of quantum mechanical systems inspired by Schwinger's picture of quantum mechanics. After identifying causal structures on groupoids with a particular class of subcategories, called causal categories accordingly, it will be shown that causal structures can be recovered from a particular class of non-selfadjoint class of algebras, known as triangular operator algebras, contained in the von Neumann algebra of the groupoid of the quantum system. As a consequence of this, Sorkin's incidence theorem will be proved and some illustrative examples will be discussed.

Patrick Suppes, Mario Zanotti

Philipp G. Frank, Robert S. Cohen

Nancy Delaney Cartwright, Mauricio Suárez

We present a causal model for the EPR correlations. In this model, or better framework for a model, causality is preserved by the direct propagation of causal influences between the wings of the experiment. We show that our model generates the same statistical results for EPR as orthodox quantum mechanics. We conclude that causality in quantum mechanics can not be ruled out on the basis of the EPR-Bell-Aspect correlations alone.

Mauricio Suárez, Nancy Delaney Cartwright

We present a causal model for the EPR correlations. In this model, or better framework for a model, causality is preserved by the direct propagation of causal influences between the wings of the experiment. We show that our model generates the same statistical results for EPR as orthodox quantum mechanics. We conclude that causality in quantum mechanics can not be ruled out on the basis of the EPR-Bell-Aspect correlations alone.