Ideas on Bell's Theorem

Richard David Gill

In 2007, and in a series of later papers, Joy Christian claimed to refute Bell's theorem, presenting an alleged local realistic model of the singlet correlations using techniques from Geometric Algebra (GA). Several authors published papers refuting his claims, and Christian's ideas did not gain acceptance. However, he recently succeeded in publishing yet more ambitious and complex versions of his theory in fairly mainstream journals. How could this be? The mathematics and logic of Bell's theorem is simple and transparent and has been intensely studied and debated for over 50 years. Christian claims to have a mathematical counterexample to a purely mathematical theorem. Each new version of Christian's model used new devices to circumvent Bell's theorem or depended on a new way to misunderstand Bell's work. These devices and misinterpretations are in common use by other Bell critics, so it useful to identify and name them. I hope that this paper can serve as a useful resource to those who need to evaluate new "disproofs of Bell's theorem". Christian's fundamental idea is simple and quite original: he gives a probabilistic interpretation of the fundamental GA equation a.b = (ab + ba)/2. After that, ambiguous notation and technical complexity allow sign errors to be hidden from sight, and new mathematical errors can be introduced.

Nick Herbert, Jack Karush

Stephen H. Jarvis

This paper presents a new basis for the analysis of Einstein’s spacetime by presenting the idea of “time-points” in space consistent with “c” being a paradigm where time does not pass, and thus a potential sea of time-points in space, accounting for the idea of hidden “non-local” particles as time-points in space that interact to form mass, thus resolving Bell’s Theorem.

А. В. Белинский

Matthias Schultheiss

А. В. Белинский, Давид Николаевич Клышко

A review is presented of light-intensity interference experiments demonstrating the inadequacy of the classical concept of a priori properties of quantum objects (Bell's theorem). A detailed description of experimental procedures using N-photon light (N?= 2,3,...) is given and is accompanied by interpretations of experimental data in terms of quantum theory and a variety of clear classical models. Different formulations of the conflict between classical ideas and quantum theory are presented, including the Bell theorem without inequalities, the Kochen?Specker theorem, and so on.