Metadata-Version: 2.4
Name: edtm-spectrum
Version: 0.2.0
Summary: Twelve fermion masses from one anchor: the A4 circulant spectrum (paper F-A of the Eternal Dawn programme)
Author: Michael Gronager
License: MIT
Project-URL: Paper, https://github.com/gronager/eternal-dawn/tree/main/papers/fermion/A-spectrum
Requires-Python: >=3.9
Description-Content-Type: text/markdown
Requires-Dist: numpy>=1.22

# edtm-spectrum — nine charged fermion masses from the electron

The napkin: the circulant

    sqrt(m_k) = c · (1 + √2 · cos(2/9 + 2πk/3)),

with **√2** and **2/9** exact group-theory numbers (no fit), anchored at
the electron — and *nothing else*: no electroweak scale, no hadronic
input, no fitted flavour parameter. The muon comes out 10 ppm from
measurement (the residual is *physics* — the electromagnetic dressing,
paper F-B), the strong scale is priced by the electron through the
walked vertex g = 24π/Λ², the up tower grips the condensate's own bound
state, and the **top comes out at 171 GeV** with no electroweak
measurement anywhere. The nucleon returns as the first check
(m_τ/m_n = 1.89(2) vs 1.8913).

```
pip install edtm-spectrum
python -c "import edtm_spectrum; edtm_spectrum.scoreboard()"
```

**The falsification on the table:** m_u = 2.1(1) MeV against improving
lattice determinations, and the parameter-free mixings V_us = 0.218,
V_ub = 0.0035.

This package accompanies paper F-A of the Eternal Dawn programme; the
derivation-complete source is the textbook (*Eternal Dawn — The Torsion
Model*). Companion packages: `edtm-neutrino` (the neutrino spectrum,
F-G), `edtm-dressing` (the ppm-level dressing, F-B), and the rest of
the arc as released.
