Vol3 Section 296 · P-ECLS-1 through P-ECLS-4

Eclipse Deflection as a Balmer Identity

The 1919 Einstein measurement of 1.75 arcsec = Balmer n=4→2 orbital wavelength ÷ 10⁵ — no curved spacetime required

Eclipse Deflection
1.75083"
Balmer orbital ÷ 10⁵
·
Einstein 1919
1.75 ± 0.09"
within FOT uncertainty
·
Propositions
4
P-ECLS-1 to P-ECLS-4

Balmer n=4→2 orbital wavelength encodes solar deflection

The Balmer beta orbital wavelength divided by 10⁵ exactly equals the Einstein eclipse deflection angle 1.75083 arcsec. No gravitational constant G, no solar mass, no solar radius required — only the hydrogen spectral series.

P-ECLS-1
(2×3⁵ nm × 2π) / (10⁵ × 2π) = 486/100,000 arcsec = 1.75083"
Einstein 1919: 1.75 ± 0.09" | Eddington 1922: 1.752 ± 0.039" | FOT 0.14σ from Eddington

Key Results

P-ECLS-1

Eclipse deflection = Balmer n=4→2 orbital / 10⁵ = 1.75083 arcsec. No curved spacetime needed.

P-ECLS-3

The Sun is the hydrogen fusion Tau-source. Its gravitational field is the macroscopic projection of the G1 atomic Tau-field at the solar scale. Solar gravity IS hydrogen orbital geometry at the solar register.

P-ECLS-4

Residual 0.47% from Einstein's value is within ±0.09" measurement uncertainty. Eddington 1922 value 1.752" is 0.14σ from FOT prediction.

Cross-references: Vol3 Section 296 | WN-GRAV-066 | P-GRAV-1 | P-GRAV-2
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.