i have a very specific question, which would greatly help in understanding and advancement.
i wish to understand how to link the model i am working on to the Standard Model. the above "phase diagram" is what i have identified particles as. "positron" is at 0 degrees, anti-neutrino at pi / 2, up quark at 1/12 2pi and so on.
i understand that the Standard Model may have something similar, but its mathematics is too complex for me to understand (which is why i was so delighted to find Castillo's paper "Spinor representation of an electromagnetic plane wave" as it mentions a translation between Jones Matrices and Pauli Matrices and spinors.
so the question is: what is the spinor and matrix representation of each of the quarks? i have found the following document:
http://www.physics.umd.edu/courses/P...i/chapter1.pdf
in the Extended Rishon Model, and from the studies that i have done, i understand quarks to actually be ultra-short-lived pions. also, that if you superimpose a pion (quark) and the appropriate quark, it turns into the *other* quark of the pair which doesn't cancel. Example: u anti-d pion (gluon) plus a d quark, the d and anti-d cancel and you get a u quark left.
so my question in effect is: would it be *reasonable* to assume that the formula (1.7) would *also* represent... a quark (generation 0), as well as a pion (generation 2)?
if the above is not obvious (that pions and gluons are the same thing), look further in that PDf at Figure 1.2, it even *says* in the paragraph above that there are eight "gluons". well, there are eight *pions* if you include the left-chiral ones!
greatly appreciated your help in understanding what is going on.