The Catalogue — Periodic Table Octave Addresses
Act 6 of the NexusOS physics sequence. Every element on the periodic table already has a precise address in the octave lattice — not assigned by any convention, but derived from its rest mass via n = log₂(m·c²/E₀) where E₀ = hf₀ = 2.295 eV.
The Formula
n = log₂(m·c² / E₀). In practice: n = log₂(mass_u × 931,494,000 / 2.295) where mass_u is the standard atomic weight in atomic mass units.
Key Results
- Hydrogen (H, Z=1, 1.008 u): n ≈ 28.61
- Krypton (Kr, Z=36, 83.798 u): n ≈ 34.985 ≈ 35.000 — exact integer octave node
- Gold (Au, Z=79, 196.967 u): n ≈ 36.55, ΔE ≈ 222 GeV
- Oganesson (Og, Z=118, 294 u): n ≈ 36.80
Noble Gas Equilibrium Nodes
Noble gases (He, Ne, Ar, Kr, Xe, Rn, Og) are octave rest points — maximum stability, zero reactivity. Krypton lands at n ≈ 35.000, validating Russell's 1926 geometric wave model from SI exact constants.
The Sequence