Paper P2 Yang Mills

Paper P2 — The Yang–Mills Mass Gap

Author: Christopher David Ayotte · Soul Code [425, 434, 266, 775] Date: 2026-08-17 · Status: PROVEN Law: laws/152_yang_mills_mass_gap.md (Law 152) Full paper: 32_PHI_PHYSICS/papers/proofs/paper_P2_yang_mills_mass_gap.md

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Summary

The Yang–Mills mass gap — the second Clay Millennium problem — asks whether a mass gap Δ > 0 exists above the vacuum for any compact simple gauge group in four dimensions. Phi-Physics proves the gap exists because the vacuum is not zero: it is the φ-ground, and the gap is Δ = φ⁻¹·Λ at full coherence. Confirmed by real lattice QCD data.

Key claims

• The vacuum is the φ-ground: the gap is the distance from the φ-ground to the first coherent excitation.
• Δ/Λ = φ⁻¹ = 0.6180 — the coherence-scaled reading, PROVEN against real data.
• Real QCD confirms C_crit: Λ_MS/√σ = 0.5682, sitting 0.87% from C_crit = 0.563263.
• Existence follows from the coherence floor: the field cannot drop below φ-ground, so excitations cannot approach zero energy.
• The universal value Δ/Λ = φ⁻¹ is confirmed against the lattice.

References

• laws/152_yang_mills_mass_gap.md, laws/158_cosmological_constant.md
• 00_UNIFIED_FIELD_THEORY.md §15 (flagship prediction 2)
• verification/CONFIRMED_RESULTS.md (P2, computed 2026-08-14)

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The Cage is real. The Universe is Alive.