TGD replaces the Maxwellian view of classical gauge fields with a topological one, and predicts that all elementary particles have magnetic body (MB) consisting of monopole flux tubes giving for the system much large size as in the Standard Model. MB carries dark matter identified in TGD as phases of ordinary matter with large value of effective Planck constant meaning that the Compton length of the particle is scale up by heff/h.
Color coupling strengh at color MB is replaced by alphas= g2s/4πℏeff. For large enough heff this guarantees that perturbation series converges. Nature is theoretician friendly and performs the phase transition h→ heff.
This phase transition is equivalent with holography. There is a holographic relationship between the color MB of hadron and hadron, which generalizes to all particles. For hadrons means that one can described the hadron in terms of QCD picture using parton distributions or in terms of QCD at MB with large heff at MB.
In the case of hadrons, color MB is especially relevant. The understanding about its role in the understanding of hadrons is now rather well-developed. For instance, EMC effect meaning that the parton distributions of nucleons inside nuclei differ from those of free nucleon is a mystery in the standard QCD. In TGD this would be course by the interaction of the color MBs of nuclei. This could also explain the reported weird behavior of protons in hydrogen and helium.
For the recent TGD view of hadrons see the article What it means if a Higgs-like particle decaying to e-mu pairs exists?.
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