Thanks Axil, Fran, Jones, - for lots of intriguing information. You have put lot of effort into this.
On the quantum entanglement/nonlocality issue - possibly relevant is: "Undetectable quantum transfer through a continuum" http://arxiv.org/abs/1106.2901 - but interesting even if not. The Ni-64 paradox is one I have to educate myself on. Maybe it's subject to some subtle environmental stable/unstable phase transition? BTW (off topic), nickel might have more secrets - perhaps it explains the paradoxical imbalance of L/R-chirality of amino acids. See - "The role of nickel(II) on the homochirality of amino acids in living systems" http://elearning.hebron.edu/EPortfolio/artefact/file/download.php?file=5200&view=245 Could there be some still undiscovered nuclear quantum numbers?