1106.0748 (Joy Christian)

Restoring Local Causality and Objective Reality to the Entangled Photons    [PDF]

Joy Christian

Unlike our basic theories of space and time, quantum mechanics is not a
locally causal theory. Moreover, it is widely believed that any hopes of
restoring local causality within a realistic theory have been undermined by
Bell's theorem and its supporting experiments. By contrast, we provide a
strictly local, deterministic, and realistic explanation for the correlations
observed in two such supporting experiments, performed independently at Orsay
and Innsbruck. To this end, a pair of local variables is constructed to
simulate detections of photon polarizations at various angles, chosen freely by
Alice and Bob. These generate purely random outcomes: A = +/-1 and B = +/-1.
When these outcomes are compared, however, the correlation between them turn
out to be exactly equal to -cos2(alpha - beta), with the corresponding CHSH
inequality violated for the polarization angles alpha, alpha', beta, and beta'
in precisely the manner predicted by quantum mechanics. The key ingredient in
our explanation is the topology of the 3-sphere, which remains closed under
multiplication, thus preserving the locality condition of Bell. It allows us to
model the physical space as a 3-sphere, and reveals that the illusion of
quantum nonlocality in the present case stems from a twist in the Hopf
fibration of the 3-sphere.

View original: http://arxiv.org/abs/1106.0748