α_FOT = 9/(125π²) is a pure prime lattice address. Speed-coupling identity c_G1 × α_FOT = 2³×3⁷×5³ = 2,187,000 exactly
α_FOT
3²/(5³π²)
1/α = 137.0778
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Speed-Coupling
c×α = 2,187,000
2³×3⁷×5³ exact
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Propositions
6
P-FSC-1 to P-FSC-6
The Identity
c_G1 × α_FOT = 2,187,000 exactly
The product of the G1 speed of light and the FOT fine structure constant is a pure {2,3,5} integer. The π² of c_G1 cancels the π² of α_FOT⁻¹ exactly, leaving 2³×3⁷×5³.
A note on “constants.” Within the Universal Force of Time there are no universal constants. A quantity like the Rydberg is not one fixed number but a small family of register faces — each an exact {2, 3, 5, π} value, each reproducing the spectrum on its own scale of Τ. The Rydberg alone carries at least three: 10,966,227.11 m⁻¹ (= 10⁷π²/9), 10,967,215.73, and 10,973,936.9 m⁻¹. What conventional physics records as the constant — the CODATA 10,973,731.568157 m⁻¹ — is not a fourth fundamental number; it is a single measurement sitting between those faces, in the band they define, read from the one register our instruments occupy: the Earth-surface node, g₁. Every wavelength, and the speed of light, Planck’s value, and the fine-structure ratio with it, behaves the same way — each shifts from g₀ to g₁ to g₂ to g₃ by the lattice step δG, not by error. These are not constants; they are the values Τ wears at the register where we stand.