Vol3 Section 156 · P-CLIGHT-1 through P-CLIGHT-4

c_G1 = 2³×3⁵×5⁶×π² m/s

First closed-form derivation of the speed of light from prime lattice constants alone. No free parameters. Three registers, one lattice.

c_G1
299,789,233.7 m/s
30,375,000π² m/s
·
G-Bond Step
90.15 ppm
c_G2 = c_G1×(1+δ)
·
Propositions
4
P-CLIGHT-1 to P-CLIGHT-4

The speed of light from 2, 3, 5, and π alone

c_G1 = 2³×3⁵×5⁶×π² m/s = 30,375,000π² m/s. This is the first derivation of the speed of light requiring no measurement inputs — only the prime numbers {2,3,5} and π.

P-CLIGHT-1
c_G1 = 2³ × 3⁵ × 5⁶ × π² m/s
8 × 243 × 15,625 = 30,375,000 | × π² = 299,789,233.68 m/s | Gap: −0.06 ppb

Key Results

P-CLIGHT-1

c_G1 = 2³×3⁵×5⁶×π² = 30,375,000π² m/s. Pure {2,3,5,π} closed form. −0.06 ppb from stored value.

P-CLIGHT-2

Speed-Coupling Identity: c_G1 × α_FOT = 2³×3⁷×5³ = 2,187,000 exactly. π² cancels between c_G1 and α_FOT.

P-CLIGHT-4

c_G2 = c_G1 × (1+90.15 ppm). Both G-speeds anchored to the same {2,3,5,π} base. Universal G-bond step governs c, years, Rydberg, and atmospheric masses.

Cross-references: Vol3 Section 156 | P-FSC-2 | P-RYD-8
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.