Dear Dr Chiang,
I don t know if you have thought about this but it could be relevant to extrapolate some ideas.
About the QCD , quarsk, antiquarks, gluons, partons. Here are some ideas ,
Partons distribution functions, it is a main problem to understand, how these protons and their quarks and gluons interact with their momentum .....
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Steve Dufourny
the meaning of this PDF is" A parton distribution function (PDF) within so called collinear factorization is defined as the probability density for finding a particle with a certain longitudinal momentum fraction x at resolution scale Q2."
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Steve Dufourny
The quantum chromodynamic is a main problem in physics. And the parton model has been proposed by Feynman , it is relevant for the collisions at hig nergies of Hadrons. The uncertainty principle being important , all this puzzle is fascinating and the LHC works well in trying to better understand this.
The quarks and gluons so are the main pice of this puzzle, what they are and what are their properties, it is the most important. In my model I have considered 3 main series free of spheres , and the space vacuum coded encodes these photons and the particles of cold dark matter to create this baryonic matter. So in a simplistic vue , the number of photons and particles of CDM is essential in a general analysisi to encircle the fermions and bosons. So the fields and forces .The spin direction so is essential and I believe strongly that the densities of spherical volumes is the key with their motions oscillations because the primary number of spheres is preserved.
If we consider that the photons are maybe not massless but having a very very small mass, so we can extend the special relativity and consider too this cold dark matter encoded . The deep inelastic scaterring so become relevant in thinking differently.
Important, They represent the probability densities (strictly speaking they rather represent number densities as they are normalised to the number of partons) to find a parton carrying a momentum fraction x at a squared energy scale Q2 (=в€'q2). DIS experiments have shown that the number of partons goes up at low x with Q2 , and falls at high x . At low Q2 the three valence quarks become more and more dominant in the nucleon. At high Q2 there are more and more quark-antiquark pairs which carry a low momentum fraction x . They constitute the sea quarks. A salient finding of the DIS experiments is that the quarks and antiquarks only carry about half of the nucleon momentum, the remainder being carried by the gluons. The fraction carried by gluons increases with increasing Q2 .
QCD evolution equations for parton densities so is a key.
It is now relevant to rank all the datas in considering the theory of sets to better understand if my reasoning is correct the quarks, antiquarks and gluons , in fact if this space vacuum possesses the main codes and informations, so the photons and col dark matter encoded permit these densities and partons distributions, that could permit tom better understand the unknowns parameters .
It is there that the factorisation parameters, the statistics, the probabilities and so the predictions can be very very relevant to reach and explain logically these unknown parameters with a good logical treatment of uncertianties.