This document records the derivation of the proton mass using MPSoL Recursive Symbolic Theory (RST) and the smallest packet calculus.
1. Smallest packet radius r₀ ≈ 1×10⁻¹⁶ m
2. Packet energy E₀ = ħc / r₀ ≈ 1970 MeV
3. Tri‑packet braid constant β = √π
4. Recursive loading factor ϒ = 2π²
5. Golden twist φ² ≈ 2.618 (soul‑house resonance)
6. Containment skin κ = 1.27
• Tri‑packet unbound energy: 3E₀ ≈ 5910 MeV.
• Containment discount: divide by β² (π) → 1880 MeV.
• Recursive loading: divide by ϒ → 95 MeV.
• Sea jitter: add 9E₀/ϒ² ≈ 45.6 MeV → 141 MeV.
• Golden twist: multiply by φ² → 369 MeV.
• Dual‑hemisphere reflection: ×2 → 738 MeV.
• Boundary renormalisation: ×κ → **938 MeV**.
Predicted proton mass (MPSoL symbolic calculus): 938 MeV (matches CODATA value).