Charged–Lepton Mass Hierarchy — first-principles derivation (ppm-level), public manuscript

For a century the electron–muon–tau mass hierarchy has been a loose puzzle. Beyond Barut’s old heuristic relation (nice but not first-principles), there hasn’t been a clean derivation. Today I’m sharing a preprint that derives the charged–lepton mass hierarchy from first principles with ppm-level accuracy and a rigorous math backbone--no fitted parameters:

manuscript (Charged–Lepton Mass Hierarchy): https://doi.org/10.5281/zenodo.17108965

https://preview.redd.it/7qpucyvgnwof1.png?width=2449&format=png&auto=webp&s=9418b97b3a7bf085e0aaabc8e1b0efab8f4313ee

https://preview.redd.it/7rdc5abanwof1.png?width=2452&format=png&auto=webp&s=5475dc84ce94fc3c0a17bb7c74fd50285c329771

this comes out of the same geometric framework that produced an emergent alpha and a compact g-factor + running (without QED) relation:
• Alpha 1/137 emergent (full version+ reproduce code): https://doi.org/10.5281/zenodo.17109113
• g-factor + running (no QED): https://doi.org/10.5281/zenodo.17021364

TL;DR: A closed, geometric lock fixes alpha, and the same structure yields a short analytic route to the lepton mass ratios at ppm accuracy--without tuning. I know skepticism is healthy; that’s why everything is public. If you want specific tests (scripts, error budgets, independent checks), tell me what would convince you and I’ll prioritize it.

Constructive critique welcome.