In regards to the "minimum" versus the "maximum" on page 30, they become equal at the limit, which is why I "put it another way" in the middle of the page. I can see that the language is a bit ambiguous. The point I was trying to make is that additional measurements, of supposed, additional components, will not yield more information - the maximum amount has already been attained by the previous measurements; consequently all subsequent measurements must be correlated with the first.
Maxwell's demon is precisely a pre-quantum-theory example of a "decision making" process, like "calling" a coin, that is being misinterpreted in quantum theory as "wave-function collapse." It is all related, to Shannon's insights into the nature of information.
Bohm's book is more than just a classic, it is a treasure trove of insights into what is really going on in the quantum world (he seems to have written it, as an attempt to understand the theory himself, as much as to explain it to others), and in particular, from a particle scattering, rather than physical wave propagation, point-of view. Here is an interesting quote from the Wikipedia article on Bohm, regarding his Ph.D research:
"the scattering calculations (of collisions of protons and deuterons) that he had completed proved useful to the Manhattan Project and were immediately classified. Without security clearance, Bohm was denied access to his own work; not only would he be barred from defending his thesis, he was not even allowed to write his own thesis in the first place!"
What I find interesting about his ideas on particle scattering, are in connection to things like the double-slit experiment. He showed that (section 21.23) potentials with sharp edges will produce oscillatory scattering cross-sections: AKA interference patterns.
The one thing that he could not figure out, is why quantum scattering, unlike classical scattering, is such that "the deflection process is described as a single indivisible transition", rather than like the continuous deflection, of a mass in a gravitational field. He remarks upon this fact in several places.
The missing answer is an information-mediated decision process, like Maxwell's Demon: if the field cannot "detect" a particle (recover a single bit of information) and the particle cannot detect the field (think of the symmetric interaction of identical particles), then there can never be any interaction whatsoever, except at the points at which it *is* possible to recover such a bit. So quantum particles scatter off ripple's in the field within the slits, just like bullets scattering off one specific point on a rippled, steel plate, thereby producing an "interference" pattern - with no wave propagation required.
Rob McEachern