Bilateral Hydrogen — Spectral Lines from First Principles
α = 1/137.036 derived from the bilateral crossing operator, not fitted. All energy levels and spectral lines follow from three axioms.
Dunstan Low · ontologia.co.uk
Derivation chain
A2
No crossing preferred → U× = iσ_x unique
Möbius phase: i^n, period 4
↓
Bilateral wavefunction amplitude at zero t₁
α = 1/137.03600 (derived)
↓
Rydberg energy E_R = α²m_ec²/2
E_R = 13.60569 eV
↓
Energy levels E_n = −E_R/n²
E₁ = −13.606 eV, E₂ = −3.401 eV…
↓
Spectral lines 1/λ = R_H(1/n₁²−1/n₂²)
Lyman, Balmer, Paschen series
Constants used
Quantity
Bilateral
CODATA
α
1/137.03600
1/137.036000
m_e (MeV)
0.510999
0.510999
E_R (eV)
13.60569
13.60569
a₀ (pm)
52.9177
52.9177
α bilateral vs CODATA: −0.0067 ppm difference
Spectral series
Key lines
Line
Bilateral
Obs.
Dev
Honest note: The bilateral derivation of α differs from
CODATA by −0.0067 ppm, shifting Balmer α by ~9 fm — 100× below current
measurement precision. The ~290 ppm residual between Rydberg formula
and observation is the Lamb shift (QED vacuum polarisation), which
requires the bilateral many-body calculation — an open direction.
The contribution here is the derivation of α, not a new spectroscopic result.