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Mind, Matter & Quantum Connection 4

More comments on Peat's article in the Mind Matter Conference proceedings
edited by Dr. Beverley Rubik of Temple University Center for Fronteir
Sciences. I am following up on Dr. Rubik's request to review the book - and
am doing so in a sequence of short remarks.

p.202 0n "Gentle Action"
"... a highly complex system in which its individual phases are subject to
fine adjustments.  By making a series of small adjustments globally across
the system is becomes possible to lock these phases together so that the
whole system becomes involved cooperatively in some new activity. Such a
system may be quite resistant to any local, forceful intervention; however,
tiny changes that are made in a co-operative or non-local way can result in
entirely new behavior."

This is a very nicely written image and very enticing and I hope it is true
- it would help to see a simple math model of it. Should we think
classically of a distribution of systems across space at a fixed time with
a field of little phasors? Or should we think quantum mechanically in
Hilbert space. If we have several systems then we have an entangled sum of
products of kets one for each system. So take the photon pair case in which
we start with

|1,2> = (1/sqrt2)[|1+>|2+> + |1->|2->]

consider, for example

|1,2> -> |1,2>' = (1/sqrt2)[e^i&|1+>|2+> + |1->|2->]

where & is a relative phase - but it is not a phase attached to either
photon 1 or photon 2.

Just what kind of math model would illustrate Peat's verbal picture? I am
at a loss and would like to hear from Peat.