Vol1 Section 45 · P-SC-1 to P-SC-12, P-SORB-1 to P-SORB-6

4374 = 2×3⁷: Solar Circumference, Infrared, Balmer

C_sun = 4374×10³ km = 4374 nm (IR window) = 4374/9 = Hβ. Three independent scales, one {2,3⁷} identity. Atomic ceiling meets solar circumference.

4374 = 2×3⁷
Solar C = 4374,000 km
atomic ceiling × 2
·
Hβ = 486 nm
= 4374/9
÷ Pythagorean 9
·
Propositions
18
P-SC-1 to P-SC-12 + P-SORB-1 to P-SORB-6

One number, four domains

4374 = 2×3⁷ = 2 × atomic_ceiling. It appears as the solar circumference constant (C_sun = 4374×10³ km), the infrared window (4374 nm), the Balmer Hβ parent (4374/9 = 486 nm), and the G1/Z-DNA spectral ratio (4374/4000).

P-SC-4
λ_G1(Hβ)/λ_Z(Hβ) = 486/(4000/9) = 4374/4000 [exact]
4374 = 2×3⁷ | C_sun = 4374×10³ km | Hβ = 4374/9 nm = 486 nm

Key Results

P-SC-1

C_sun = 4374×10³ km = 4,374,000 km. Atomic ceiling 3⁷=2187 scaled by 2.

P-SC-3

Hβ = 486 nm = 4374/9 = 2×3⁵. Solar circumference ÷ 9 = Balmer Hβ.

P-SC-4

λ_G1(Hβ)/λ_Z(Hβ) = 4374/4000 [exact]. Solar circumference encoded in the matter/antimatter spectral ratio.

P-SORB-1

S-orbital absorption peaks map to Fibonacci numbers F₁ through F₅. The degeneracy multipliers of successive s-shells follow the Fibonacci sequence.

Cross-references: Vol1 Section 45 | P-RYD-3 (C_sun ratio) | P-RYD-9 (4374/4000)
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.