Thursday, November 02, 2023

About the Relationship Between Strong and Weak Interactions in the TGD Universe

In the TGD view, classical electroweak interactions are basically local and only classical electroweak gauge potentials appear in the TGD analogs of fundamental interaction vertices describing splitting and reconnection of monopole flux tubes, which describe also strong interactions at the particle level. The basic problem is to understand how strong interactions can be parity conserving while the classical electroweak dynamics violates parity conservation.

The proposed model, argued to overcome this problem, involves several topological elements.

  1. The topological explanation of the family replication phenomenon in terms of the genus of partonic 2-surface carrying fermion lines as boundaries of string world sheets.
  2. The view of holography as a 4-D analog of holomorphy reducing to 2-D holomorphy for partonic 2-surfaces. This predicts two kinds of partonic 2-surfaces as complex 2-surfaces in CP2 with a spherical topology. Tor the homologically non-trivial geodesic sphere induced weak fields vanish (no parity violation classically) and for the second complex sphere they do not. A natural working hypothesis is that these two spheres explain the difference between strong and weak interactions.
  3. The homology (Kähler magnetic) charge h of the partonic 2-surface correlates with the genus of the partonic 2-surface. For complex partonic 2-surfaces in CP2, the genus is given g=(h-1)(h-2)/2-s, where s is the number of singularities. Only the genera g=(h-1)(h-2)/2 are free of singularities. For g=0, this includes h=1 and h=2. Already for g=2 there would be singularity. It is however possible to overcome this problem since partonic 2-surfaces can be deformed to M4 degrees of freedom and one can add handles in this way. A rather detailed picture of partonic 2-surfaces and monopole flux tubes emerges.
See the article About the Relationship Between Strong and Weak Interactions in the TGD Universe or the chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.

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