The Forced Constants: The Charged Leptons, Quarks, Neutrinos, Mixing, and Cosmological Sector Derived from One Axiom with Zero Free Parameters
Maria Smith
Abstract
One axiom. One operation. Zero free parameters. The Standard Model carries roughly two dozen free parameters — lepton and quark masses, neutrino splittings, mixing angles, the CP phase — plus the cosmological constants. Every one is measured and inserted by hand; none is derived. This paper derives them. From the same axiom (the One) and operation (the fold) that fix the fine-structure constant, the charged leptons are the three roots of one cubic x³ − x² + (1/6)x − 1/485 = 0 whose roots sum to the One and whose squares give the measured mass ratios; the Koide relation falls out as exactly 2/3. The quark ratios follow by a single forward dressing over the forced 1/α. The neutrino is single-handed, so a Dirac mass is forbidden and a Majorana mass is forced — neutrinoless double-beta decay must occur — with mass-squared ratio fixed at 3/100. CKM mixing is the bare overlap of two fold bases; the CP phase sits at the unique self-antipodal point, the half-One, giving maximal CP violation (Jarlskog ≈ 3.1×10⁻⁵). In cosmology: dark-to-baryon 27/5, a positive non-zero cosmological constant at the binary floor 2⁻²⁰ (the 10¹²⁰ catastrophe dissolved), the Hubble calibration ratio 13/12, and the black-hole quarter 1/4. No measured value enters any construction; every result is machine-checked and reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE), companion to The Counted Constant (the fine-structure constant). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory