Muon-to-Electron Mass Ratio

τ-Formula

mμ / mₑ = ι_τ⁻⁴·⁹⁶ ≈ 206.1

Derivation

The muon-to-electron mass ratio is given by the winding exponent formula:

where the exponent $4.96$ is the effective winding number of the muon character on the $T^2$ fiber. The measured value $m_μ / m_e = 206.768\,283\,(6)$ agrees at $+307$ ppm. (Registry: IV.T148, Wave 3.)

The exponent $4.96$. The effective winding number $4.96$ is not a free parameter; it is determined by the spectral structure of the Epstein zeta function restricted to the muon character. Its proximity to 5 (it equals $5 - 0.04$) reflects the dominance of the $W_3(4) = 5$ Waring mode with a small correction from higher spectral levels.

Source

This prediction is derived in the Numerical Physics Ledger (Chapter 60 — mass-spectrum), Books IV–V of Panta Rhei.