Published May 31, 2026
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Correspondence Between Prime Harmonic Energy Levels and Atomic Spectral Lines
Description
PHM energy levels E_p = p^2 * Ry, fitted with a single scale factor,
match 84% of atomic spectral transitions across H, He, Li, C, N, O,
Na, Fe, Xe from the NIST Atomic Spectra Database. He, C, Na, Xe
achieve 100% match within 10%. The value E_{p=1} = 13.6 eV equals
the hydrogen ionization energy exactly.
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paper3_atomic_energy.pdf
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