A Dempster-Schafer approach to Bell's inequalities
Abstract
We present an alternative approach to modeling Einstein-Podolsky-Rosen-Bohm (EPRB)-type experiments. The basis for our approach will be to replace the conventional Kolmogorov theory of probability, with the more general Dempster-Schafer theory of evidence. This leads to the identification of a distinct type of epistemic uncertainty, which is not present in Kolmogorov theory, but which is relevant in modeling experiments with operationally incompatible observables. Our treatment naturally yields conditional relative frequencies, which are perfectly compatible with classical determinism and locality, but which do not satisfy Bell-type inequalities.
Keywords
Cite
@article{arxiv.1503.08681,
title = {A Dempster-Schafer approach to Bell's inequalities},
author = {Adam Stokes},
journal= {arXiv preprint arXiv:1503.08681},
year = {2015}
}
Comments
The paper essentially reproduce known results originally due to A. Fine; "Some Local Models for Correlation Experiments" . Synthese, Vol. 50, No. 2, Philosophical Problems of Modern Physics, Part II (Feb., 1982)