The EPR-Experiment and Free Process Theory

Wim Christiaens

Marcoen J. T. F. Cabbolet

Bi‐Heng Liu, Xiao‐Min Hu, Jiangshan Chen +2 more

Here we present an experiment which, firstly, demonstrates single-particle contextuality on the particles in one laboratory. Then, since our particles have been previously entangled with other particles in a distant laboratory, we can also reveal the EPR correlations between both laboratories. Interestingly, even though the correlations in the first laboratory can be explained by LHV theories, and the EPR correlations between the two laboratories can be explained by LHV theories, we show that there is no LHV theory explaining both of them. Our experiment is a test of the free will theorem since it implements the conditions under which axiom (i) applies, then checks axioms (ii) and (iii), and finally reveals an extreme violation of the predictions of theories in which elementary particles have no free will.

Giuseppe Faraci, D. Gutkowski, S. Notarrigo +1 more

Daniel Bedingham

A model is developed to describe state reduction in an EPR experiment as a continuous, relativistically invariant, dynamical process. The system under consideration consists of two entangled isospin particles each of which undergoes isospin measurements at spacelike separated locations. The equations of motion take the form of stochastic differential equations. These equations are solved explicitly in terms of random variables with a priori known probability distribution in the physical probability measure. In the course of solving these equations a correspondence is made between the state reduction process and the problem of classical nonlinear filtering. It is shown that the solution is covariant, violates Bell inequalities and does not permit superluminal signalling. It is demonstrated that the model is not governed by the free will theorem and it is argued that the claims of Conway and Kochen, that there can be no relativistic theory providing a mechanism for state reduction, are false.