Hi Michael,
The plot thickens! Yes indeed, I think that " ... such a vortex scenario could give a demonstrative model of the form ..." and I wish even more strongly that you had been around last year when the fur was flying. There are a lot of things in my notebooks that I would have posted had I had indication that they could be understood, such as this entry 22 Aug 2011 that I framed as a lemma:
"Pair correlation (A|B) of nonrelativistic quantum events is independent of the continuous topology of S^7, in which correlated vector pairs of octonions correspond to bivectors in the spacetime of S^3, comprising an interval of simply connected information ranging all over S^3 and unitary to the initial condition."
That's inelegant,and I wouldn't have put it that way in public (just wanted to reveal my unfolding thinking process). I would have edited it to:
"All measured quantum correlations are independent of topology, such that continuous measurement functions in a simply connected space are unitary with the initial condition."
The proof of this lemma implies the theorem: "All physics is local." (Einstein)
Joy has been saying all along that the physical space is S^7, agreeing with your research that parallelization of simply connected S^0,S^1,S^3,S^7 is a space of complete measurement functions.
In a 2006 paper I proposed the measure space S^2 continuously projected between S^1 and S^3 with the result that non-commutative arithmetic functions exchange continuous curves for discrete points. (infinite quantization implies no quantization at all, which obviates collapse of the wave function.)
We're on the same beam -- commutativity of complex numbers implies the topological twist while preserving orientability of LH and RH elements as hidden variables.
Cool!
All best,
Tom