Like Pentcho Valev, Richard Gill thinks that the 'obvious' space of measurement is infinitely extended and plays no role in the measurement function.
In the whole history of physical science up to quantum physics, however, the limit of a continuous function has successfully implemented a closed logical judgement on the underlying physics, and successfully predicted the physical result independent of the experiment that validates it.
A probabilistic framework predicts nothing independent of the experiment. The experiment, in fact, is designed for statistical interpretation, not for validating predictions.
Richard writes, "So quantum measurement collapse and quantum unitary evolution are two sides of the same coin and the whole thing is relativistally invariant and local (no action at a distance) but non-deterministic and non-reversible. Because of these last two properties, physicists have a hard time stomaching it, but it's about time they wake up out of their 2000 year fantasy dream world."
Unfortunately for Richard's philosophy, that fantasy is the real world. If Richard's fantasy were real, the world would not be coherent at all -- just "one damn thing after another," as Arnold Toynbee said of history. One can take this nihilism only to the limit of comprehensibility, and it breaks down; Toynbee's own comprehension of history disproves the aphorism.
Similarly, one can take Joy's entirely constructive correlation function to the limit of nonzero torsion and find comprehension of strong quantum correlations in a covariant way.
Proponents of probabilism have made it clear that they reject comprehensibility, and in that they reject local realism in every space, save for that between their own ears.