M. Ferrero et E. Santos, EMPIRICAL CONSEQUENCES OF THE SCIENTIFIC CONSTRUCTION - THE PROGRAM OF LOCAL HIDDEN-VARIABLES THEORIES IN QUANTUM-MECHANICS, Foundations of physics, 27(6), 1997, pp. 765-800
We claim that physics has been constructed because three ''philosophic
al'' principles have been respected, namely, realism, locality, and co
nsistency. These principles lead to an interpretation of quantum mecha
nics (QM) in terms of local hidden-variables theories (LHV). In order
to prove that LHV have not been refuted, we analyze the empirical proo
fs of Bell's inequalities and we argue that none is loophole-free. The
n we propose a restricted QM that does not contain measurement postula
tes and that does not claim that all state vectors (self-adjoint opera
tors) are states (observables). The contradiction of such restricted Q
M with Bell's inequality cannot be shown as a theorem, but only by the
design of a loophole-free experiment. Finally, we argue that noise ha
s been underestimated in quantum theory. It does not appear in QM, but
it is essential in quantum field theory. We conjecture that noise wil
l prevent the violation of Bell's inequality.