Peter,
Your comments on foundations do apply to architecture and to physics. I've only read about 2/3 of the essays, but I'm impressed by the variety of approaches to math and physics, and encouraged by the number of essays based on realism. I'm becoming increasingly convinced that non-realism and non-locality is a self-defeating proposition, doomed to mystical, never-provable theories, based on math that has been inherently 'incomplete' since Godel.
As Jason pointed out above, one can theorize in 'other worldly realms' (Multiverses, extra dimensions, branes, etc.) with no fear of being falsified. For those who enjoy this game, it can last for a very long time, but it may, in the end, damage science both economically and sociologically, since predictions are few and falsifiablility is missing, and non-local mysticism differs little from religion. In contrast, my theory has predicted no Higgs and no new particles for five years now. All that is necessary to falsify it is to find any of the dozen conjectured particles: axions, SUSY, Higgs, dilatons, inflatons, anyons, instantons, WIMPs , sphalerons, dark matter, etc.
If Joy Christian is correct, non-locality is nonsense, and even if he's wrong, there are other reasons to doubt current interpretations. So thanks for the boost.
The other focus, as indicated in my essay, should be on anomalies that we know to exist. Rather than go deeper and deeper into other dimensions and worlds, one should address the places where current theory breaks down. For example, as noted on Ian Durham's thread, QED has significant problems. For years it's been "the most accurate theory", with about 9 place accuracy. But this was based largely on the calculation of the anomalous magnetic moment of the electron, using the fine structure constant, and then the fine structure constant was updated according to the latest value of the magnetic moment. Any wonder that 60 years of such circular tuning achieved 9 place accuracy?
The "virtual particles" used in Feynman diagrams provide the best 'fudge factor' one can imagine. They're not measurable, and can be adjusted to make calculations match other measurements. Even 120 orders of magnitude change in vacuum energy (the source of these particles) has no effect! For some classes of problems this has worked well. The Lamb shift of hydrogen yields 5 or 6 place accuracy. But when one "changes" hydrogen, QED suffers badly. Replace the proton by a positron, and QED has only 3 place accuracy. If the electron is replaced by a muon, then QED drops to about one place accuracy--roughly the same as QCD has had for fifty years! So our vaunted 'Quantum Dynamics' can't stray far from 'preferred' areas of application without severe problems.
My theory at least qualitatively explains these [and other] anomalies, and it seems that a number of essays here provide some support for my theory, and vice versa. And I do propose physics experiments to address the analog/digital question.
I hope you're correct that "this is the green shoot of science finally regenerating, but it is up to us to nurture it among the mature complexity of the established undergrowth." Thanks to fqxi for supporting this enterprise.
Edwin Eugene Klingman