Higgs Boson Mass (n = 7)

τ-Formula

n = 2 × lobes + sectors = 2 × 2 + 3 = 7 → m_H = 125.21 GeV

Derivation

The Higgs mass parameter involves the integer $n = 7$, where

with $lobes = 2$ (the two circles of $ = S^1 S^1$) and $sectors = 3$ (the three active sectors B, A, C that couple to the $ω$-crossing). The $τ$-native Higgs mass formula yields

in agreement with the PDG 2024 value $m_H^(PDG) = 125.20 ± 0.11$ GeV at $+8.0$ ppm. (Registry: IV.T166, Wave 5.)

The integer 7 is not arbitrary. It is the canonical combination of the lemniscate and sector counts:

Source

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