Hidden variables or local space-time anisotropy?

Tony Rothman, E. C. G. Sudarshan

K. Hess, Walter Philipp

The celebrated inequalities of Bell are based on the assumption that local hidden parameters exist. When combined with conflicting experimental results, these inequalities appear to prove that local hidden parameters cannot exist. This contradiction suggests to many that only instantaneous action at a distance can explain the Einstein, Podolsky, and Rosen type of experiments. We show that, in addition to the assumption that hidden parameters exist, Bell tacitly makes a variety of other assumptions that contribute to his being able to obtain the desired contradiction. For instance, Bell assumes that the hidden parameters do not depend on time and are governed by a single probability measure independent of the analyzer settings. We argue that the exclusion of time has neither a physical nor a mathematical basis but is based on Bell's translation of the concept of Einstein locality into the language of probability theory. Our additional set of local hidden variables includes time-like correlated parameters and a generalized probability density. We prove that our extended space of local hidden variables does not permit Bell-type proofs to go forward.

Peter Gibbins

P. V. Kurakin

Previously suggested hidden time interpretation of quantum mechanics allows to reproduce the same predictions as standard quantum mechanics provides, since it is based on Feynman many - paths formulation of QM. While new experimental consequences of this interpretation are under investigation, some advantages can be enumerated. (1) The interpretation is much field theoretic - like in classical sense, so it is local in mathematical sense, though quantum (physical) non-locality is preserved. (2) The interpretation is based on one type of mathematical objects, rather than two different (Hilbert space vectors and operators). (3) The interpretation, as it was argued, overcomes the problem of hidden variables in a radically new way, with no conflict to Bell's theorem. Recently an important argument against hidden variables - like formulations of quantum theory was risen - "no protocol" argument. It is argued in the paper, that hidden time interpretation successfully overcomes this argument.

Austin J. Fearnley

A local hidden variables solution of Malus’s Law and a circumvention of Bell’s Theorem. The solution for Bell assumes that antiparticles actually do travel backwards in time and therefore a Bell experiment begins not at the usual source of particle pairs but at the measurement of positrons and ends at the measurement of their paired partner electrons. The solution for Malus’s Law assumes that the distribution of hidden variables in a polarised beam can be deduced by reverse-engineering Malus’s Law intensity calculations. Malus’s Law and Bell’s Experiment can therefore each be explained using local hidden variables. A computer program is given to provide results of a Stern Gerlach detector using local hidden variables in a particle-at-a-time simulation.