Muon anomaly, fifth force, and TGD

We are living interesting times  from the point of view of TGD. Also in elementary particle physics. The popular article tells that the "anomalous" anomalous moment of muon  for which Fermi Lab reported 2021, seems to be real. Fermilab has gathered more data and reduced uncertainties but it will take a couple of years to narrow down the theoretical uncertainties. This would mean a crack in the  standard model and could start a revolution.

What can one say about the situation in  TGD? In TGD,  the mysterious family replication of fermions has a topological explanation in TGD: genus-generation correspondence (see this,  this, and this).

This predicts 3 fermion generations  to which one can assign SU(3)_g as a combinatorial symmetry group. In TGD, bosons are identified as fermion antifermion pairs and correspond to 8_g+1_g representation of SU(3)_g. The singlet 1_g corresponds to ordinary gauge bosons obeying fermion universality in its couplings. p-Adic thermodynamics makes it possible to estimate  the mass scale and even masses of 8_g bosons.

8_g corresponds to new gauge bosons and violates universality in its couplings.  The "fifth force" would be assignable to both electroweak and color interactions and even to gravitation (one would have (8⊕1) ⊗ (8⊕1)= 8⊗8⊕8⊕8⊕1.  Using the terminology of quantum field theories, the  loops containing 8_g for gluons and electroweak gauge bosons could cause the doubly anomalous magnetic moment of muon.  

Also other anomalies would be predicted: for instance decays violating separate conservation of lepton numbers. There is already evidence for 8_g Higgs as anomalous decays of Higgs like particle producing muon-electron pairs.

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.