The hidden variables program in quantum mechanics has been largely discredited by two powerful theorems, namely those of Bell and Kochen/Specker. Nonetheless, this program retains a certain philosophical appeal ("God does not play dice" and all that jazz) so I won't bother to motivate my interest in the topic.
More specifically, I am investigating recent efforts to construct alternative frameworks for QM in which hidden variables are possible, thereby making the theory deterministic/realistic, etc. In particular, there are two very intriguing papers, one by William Boos and the other by Robert Van Wesep, which make use of set theoretical tools to create (plausible?) hidden variable theories:
William Boos (1996) claims that random ultrafilters can provide a realization of the hidden variable program: http://www.springerlink.com/content/n3gr194551472536/
Robert Van Wesep (2006) argues that the hidden variable program is entirely characterized by generic filters and uses forcing techniques on the algebra of quantum propositions: http://arxiv.org/abs/quant-ph/0506040
Interestingly, both authors use related techniques (ultrafilters & forcing) which perhaps indicates that they are on to something... However, the papers are very technical and I do not fully understand their results; sadly, I could not locate any reviews of either paper online (which is surprising to me, considering how intriguing these papers are).
So my question is the following: has anyone read these papers, and if so, could you please comment on them?
(Although the question ultimately relates to physics, I feel that the highly mathematical nature of the methods used in these papers (and their beauty!) should appeal to the audience of Math Overflow, and indeed, I hope that someone here has already perused them...)
PS: Boos' paper is not freely available from the publisher, but a copy exists online: http://uploading.com/files/37m88a11/boos%2Bultrafilters.pdf/