Skip to content

Session Log — Cowork v3 (2026-03-10)

Agent: @D_Claude_Sonnet (Cowork)

Work Completed

  1. YM Mass Gap Proof Chain — Full adversarial analysis
  2. Mapped 5-step RTSG proof chain against Clay requirements
  3. Identified 5 structural gaps (A-E)
  4. GAP A (continuum limit): CRITICAL — nobody has rigorously constructed 4D non-abelian gauge theory
  5. GAP B (Balaban completion): Large-field analysis incomplete — the hard 20%
  6. GAP C (GL truncation): Informally OK but not rigorous
  7. GAP D (alpha > 0): CIRCULAR — needs confinement to prove, which is what we are trying to prove
  8. GAP E (spectral gap C*C): Pure conjecture, no path to proof yet
  9. Adjusted confidence: 55% → 15%
  10. U comparison: YM > RH (larger attack surface, constructive gap not dead-end)

Recommendation

  • Prioritize YM over RH for network compute
  • Phase 1: Literature deep-dive on Balaban, Chatterjee, functional RG
  • Phase 2: RTSG-specific contributions (graded BRST d2, spectral gap in solvable models)
  • Phase 3: The hard constructive QFT part

Prior Session Work (carried over)

  • 12 RTSG books produced (all .docx in workspace)
  • RH escape routes: all 4 dead (Shimura, Weil, direct, de Branges)
  • GPT adversarial RH analysis processed
  • Gemini Session 5 reviewed + boundedness argument killed
  • Grok outreach deliverable processed