Dear Mark,
As for the mathematical background, mine too has its limits! By naming quantum entanglement, I just wanted to make an example of interaction between elementary particles, which does not seem to be explicable in terms of customary causal relationship, but would require somehow an immediate exchange of information.
By the way, you've already posted, about a month ago, an appropriate comment on my essay, which allowed me to clarify some aspects of my view. Perhaps you did not remember it, which is possible, given the great number of papars in the contest.
Thanks and and best regards again,
Giovanni