Peter, thanks for the ESP and/or happy coincidence: I've just left this [below] on your essay-thread. I'll return here (maybe tomorrow) when I've had a chance to read and digest yours above. It will now make VERY interesting reading; hopefully absent any silly boo-boos on my part. My thanks again, more soonly; G [nb: the temptation to re-edit resisted].
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Dear Michaele and Peter,
I've just discovered that a 2-hr blackout has wiped a long enthusiastic WIP response to your essay -- probably via a valid log-out at FQXi -- and I'm not good at rewritings! So this is short-&-sweet as I look forward to many more ongoing discussions!
Thanking you for a (for me) beautifully presented and breath-taking essay, I regret (just a little; as you'll see) that it follows the mould of Philip Gibbs' lovely essay on "a universe of stories" as against my fondness for "a universe of dialogue" based on stories, poems, observations, dreams, etc. + MATHEMATICS -- such dialogue itself based on a universe of spacetime (a beable), full of beables and interactions -- the more especially when I see our shared fondness for GA, wavefunctions, interactions, observables (7x on p.1), ++++; plus a healthy avoidance of matrices, etc; ps, though I find avoidance of Bell's lovely term "beables" (nb: in spacetime) not good for digestion; neither of food nor ideas; nb: I also like inferables. [Breathing has now forcibly resumed; and with it the truth that much of your essay is currently beyond me.]
Re wavefunctions [WFs] -- and reminding you that (imho, if you like) math is the best logic -- please see Fröhner (1988:639), hyperlinked at Reference [12] in my essay; or via direct link to the PDF Missing link between probability theory and quantum mechanics: the Riesz-Fejér theorem.
Fröhner's work is part of my theory [see essay at ¶11]; so re WFs, see particularly in the vicinity of this on his p.639: " ... Historically, the superposition principle had been established first as a puzzling empirical feature of the quantum world, before M. Born recognised that the absolute square of the wave function can be interpreted as a probability density. ..."
Re this from you: "The resulting geometric wavefunction model permits one to examine the interface between fundamental and emergent." I see that "emergentia" is a favourite theme (at least on p.1): me being here forced -- similar to my distinctive use of "premiss" -- to return to the much more sensible Latin [subject to latin-experts] since the right word here -- emergency -- is misleading in plain English. Though (please NB) maybe it does apply as a primary-concept that we should first sort out: me trusting that we agree with that fundamental and elementary premiss: TLR (true local realism)?
PS: Regretting, with apologies, many other wiped comments (though they can be reconstructed in ongoing dialogues), I'll drop a copy of this onto my essay-thread; hoping you'll do likewise if/when you respond.
With my thanks again, and with best regards; Gordon
Gordon Watson More realistic fundamentals: quantum theory from one premiss.