HopfionSeries Paper IV - The Hopf Spoke, WZW Fermion Mass Renormalization, and Three- and Four-Term Formulas for the Fine Structure Constant

Seven interconnected results extend the density-feedback Hopfion framework and close the residual gaps in the fine structure constant and electron mass formulas left by Paper III. The single experimental input is TCMB = 2.7255 K; all Standard-Model outputs follow from condensate geometry and φ = (1+√5)/2 alone. Compton-wavelength identification (exact) Under the Witten bosonization dictionary of Paper III, the Stieltjes resolvent parameter β* equals exactly the squared inverse mass of the WZW condensate fermion: β* = 1/mWZW2. This is a proved consequence of the resolvent interpretation, not an assumption. One-loop WZW mass renormalization (exact) The condensate background renormalizes the WZW fermion mass by…