Adapted, maximum entropy systems and fermion spin

For example, when using measure theory on self adapting systems.

Fermions and boson are paired because of the maximum entropy Shannon condition. Bosons count the fermions plus the coupling constant, and the energy level, the 'bandwidth capacity' is set so the finite order of the fermion power series and the boson power series match. Absent kinetic energy in the fermion, the fermion will converge to maximum entropy about twice as fast, that is not minimally redundant. So nature adds kinetic energy to the fermion. Surprised? No, adiabatic systems are self adapted, finite measure; they get that fine tuning with motion. The effect of spin is to make Compton power spectral matching happen. Compton bandwidth matching is simply the derivative of Compton power spectral matching which is mass-energy equivalence.

Adaptation by 2 period look ahead:

Why the 2 period model? Because causality is not ambiguous, events can be sequenced.  That does not mean an action has only one cause, it means the causes, multiple, must happen in an ordered sequence.  This is equivalent to Shannon noting that within any finite precision, and 3 or 5 period model can be decomposed into a series of 2 period models.

But if you look at how spin adapted the system to minimum redundancy you will see the over lap is the Phi series, with Phi approximated to the precision limit.  That limit is about 2^16, in units of quants, so we have a fourth order subdivision, and that gives us three dimensions of space and one of time. I presume time is the scalar, so I dunno, the system of sequential causality requires at least one scale and one non scalar? Measure guys, straighten this all out, OK, and the corporations will put huge quantities on your account.