Electron Mass
Electron Mass: τ-value 0.510999, observed 0.510999, deviation 0.025~ppm.
Prediction
τ-Formula
mₑ = mₙ / R (10-link spectral chain) = 0.510999 MeV
Derivation
The electron mass is the program’s highest-precision prediction, derived in Book IV, Chapter 6 (The Neutron as Minimal Defect) and Chapter 10 (The Fine-Structure Constant). The derivation proceeds through a 10-link spectral chain on the fiber T², starting from the neutron mass as the single calibration anchor (IV.D59).
The neutron emerges as the minimal quasi-stable defect bundle on T² — the simplest configuration whose breathing amplitude is nonzero and whose bi-rotation is locked by ι_τ = 2/(π+e). The electron mass is then derived as m_e = m_n / R, where R is the ratio determined by a 10-link chain of spectral exponents on the lemniscate boundary. Each link in the chain corresponds to a step in the refinement tower, with the exponents governed by the sector coupling hierarchy κ(A), κ(B), κ(C), κ(D).
The resulting value m_e = 0.510999 MeV matches the CODATA value to 0.025 ppm — the sharpest numerical prediction in the entire Physics Ledger. This precision is not a fit: it follows from the 10-link chain structure with zero adjustable parameters. The same chain, extended to different winding classes, yields the muon and tau lepton masses (the Koide relation Q = 2/3, IV.T143).
Source
This prediction is derived in Book IV, Part 1, Chapters 6 and 10. The 10-link chain is the spectral backbone of the mass spectrum; all other particle masses are downstream of this derivation.