My version of the quark bag

Basically I have three unit spheres that move along the outer circle. In the math model the outer circle are three cojoined hyperbolics, the center point of each hyperbolic is the large dot.

The center grey mass is the wave function comprising the available wave modes as defined by the color white, charge, spin, charm and the rest.  That grey circle has limited wave modes because any other wave mode in this crammed space has already hit the Higgs and has long since done the gamma, flown the coop.

The unit spheres appear along specific quantized points between the grey wave and the outer circle.  There job is to keep the unit band gap between grey and the outer bag, this is the boundary condition. Whenever the grey warps a bit to  some part of the outer circle, unit spheres change position and move phase imbalance in or out to rebalance.

The hyperbolics can have a quant shift in the variable which shortens one arm relative to the other.  They can have extra size which narrows the angle.  Not shown are the nothed positions where they can appear.

In the balance between all the modes, the center mass has only the 1 unit of positive phase shift.  In the grey mass are phase and Higgs Nulls.  The separation between the two are such that wave motion is limited to the proper spectra that can be contained by the quantized points along the bag.

The sum of the unit spheres has to be one, the spectrum is asymmetric and cubic so the band gap function is shared.  The space between the grey and the outer bag is not empty, it is just below the Shannon point, so only three unit spheres can appear at a time.  The quantized points actually appear at various points along the bag inner surface, making chiral and other modes work properly, it is a three dimensional game.  The hyperbolic arms really are a hyperbolic quantized surface and can be envisioned as a worm gear that moves the unit spheres about by rotation. But, the unit spheres make mostly two exchanges, each, at any given time; hence the model is still standard, quare integrable hyperbolic. I think this model, properly parameterized, simply generates the group structure already discovered.  It adds nothing new, really.

In this model there exist the three vacuum bubbles, one of the bubble types is the inert Higgs null. Otherwise, this whole thing can be modelled as a sphere packing process.  More packing is accomplished when bubble motion and unit spheres are properly balanced.  

Unit spheres, particles, are simply tiny spherical black bodies where nulls overwhelm the phase and keep it contained, the Schwarzschild condition can be used. Waves are the opposite, they reflect from null densities. In doing so, they attempt to leave more null density behind them, but the Schwarzchild radius is never achieved. It has nothing to do with gravity. Schwarzchild is about having wave motion exterior having fewer degrees of motion than the interior.  He assumed liquid mass with infinite degrees of freedom while gravity had one radial mode. In the quark bag, the grey area, the gluons, have enough circular motions that their radial modes are less than the unit circles that keep them contained. Sphere packing is about increasing angular degrees of freedom toward the center, doing that faster than density increases.

Like particle-antiparticle annihilation.  Very easy to do because the spectra are complementary, they mix.  particle on particle requires huge energy because thw two spectra, combine tend to exceed the Higgs limit and reflect.