THE BARE PROTON

Before we can tackle the composite (EM plus strong nuclear) problem of the hydrogen atom we must first solve the somewhat simpler problem of how the proton might consist of quarks. In the language of today, we are looking for the symmetric problems presented by the up and down triplets (uuu) or (ddd). What frequencies and radii do we need? How does this SNSFT formulation compare with the energies given by particle physics? We do know that the mathematical formulation will have a three-way symmetry consisting of a six by six self-field interaction matrix per quark, eighteen by eighteen altogether. This compares with the eight by eight matrix for the entire electron and single particle proton of the simplified hydrogen atom model that uses EMSFT only. By the time we reduce out the three way symmetry due to the triplet structure, we end up with an overall six by six matrix that is required to be solved to give the radii and frequencies of each of the triplets. Of course at balance the three spinors will be equal in magnitude except their positions will all be 12O degrees around each spinor. The gluonic field on the other hand now has three subphotonic particles and therefore has a 'phase crossover' every 60 degrees; this compares with the photon that has only two particles and a 'phase crossover' every 90 degrees (see diagram below-coming shortly). Thus we can still have fields and particles that give internal nuclear waves just as we have with the electronic fields inside the atom. This time our Maxwellian equations need to be adapted to reflect the addition of the third spinor.