Standard Model Constants from 10D

The Problem

The Standard Model of particle physics contains roughly 20 free parameters — masses, coupling constants, mixing angles — that are measured but not derived. Why the electron has its particular mass, or why the proton-to-electron mass ratio takes the value it does, has no explanation within the Standard Model.

The STF Derivation

The STF is formulated in a 10-dimensional spacetime that compactifies to the observed 4 dimensions. Using five inputs — ℏ, c, G, the STF field mass m_s, and the fermionic structure of the SM (30 degrees of freedom per generation) — closed-form expressions are derived for Standard Model constants. The fine structure constant α = 1/137.036 is used as input (measured to 0.15 ppb precision), not derived.

Prediction #4: Chirp Mass (from 10D)

Quantity	STF Derived	Measured	Match
Mc	18.54 M⊙	18.53 M⊙ (LIGO)	99.9%

M_c = √(50πℏc⁵/(G²α m_e)) connects quantum mechanics, relativity, gravity, electromagnetism, and particle physics through 10D geometry. This same chirp mass also emerges from the UHECR pre-merger timing analysis — see UHECR Pre-Merger Timing.

Prediction #6: Electron Mass

Quantity	STF Derived	Measured	Match
me	9.05×10−31 kg	9.109×10−31 kg	99.35%

m_e = (2π/√30) × m_s^4/9 × M_Pl^5/9. Exponents 4/9 and 5/9 reflect dimensional projection: 4 observable + 5 compactified = 9 spatial dimensions.

Prediction #7: Proton Mass

Quantity	STF Derived	Measured	Match
mp	1.676×10−27 kg	1.673×10−27 kg	99.78%

m_p = (2π/√30) × m_e × α^−3/2. The proton emerges as a “QCD resonance” of the electron, scaled by the electromagnetic coupling.

Prediction #8: Baryon Asymmetry

Quantity	STF Derived	Measured (Planck)	Match
ηb	6.10×10−10	(6.12 ± 0.04)×10−10	99.74%

η_b = (π/2)(α/10)³. The Standard Model prediction is 10 orders of magnitude too small. This provides the first successful derivation of the matter-antimatter asymmetry from known physics, solving the baryogenesis problem.

Additional Derived Constants

Quantity	Formula	STF Value	Measured	Match
αs(MZ)	2π/(ℒ+10)	0.1163	0.1179 ± 0.001	98.64%
αW(MZ)	3/(2ℒ)	0.03408	0.03395	99.62%
mp/me	(2π/√30)α−3/2	1840.3	1836.15	99.77%

Here ℒ = ln(M_Pl/m_p) = 44.01.