LRT Program Dashboard
Research program status — updated with each commit
Formalization Status
| Metric | Value |
|---|---|
| Lean Build |  |
| Last Build | ✅ SUCCESS — 2491 jobs, 0 errors (2026-03-23) |
| Total Lean Axioms | 19 — PRIMITIVE: 3, EXTERNAL: 16, REMAINING: 0 ✅ |
| Total Claims Tracked | 59 |
| VERIFIED | 26 |
| DERIVED | 16 |
| AXIOMATIZED | 11 |
| IMPORTED (Tier 2) | 6 |
| OPEN | 2 |
| Sorries | 0 |
See axiom-status.md for full classification.
Derivation Chain
Step 0 ✅ X ≡ [L₃ : I∞ : A] — ESTABLISHED
Step 1 ✅ A_Ω = L₃(I∞) — ESTABLISHED
Step 2 ✅ Determinate Identity — ESTABLISHED
Step 3 ✅ Local Tomography (H1, H2) — ARGUED / IMPORTED (Hardy)
Step 4 ✅ Complex Hilbert Space ℂH — IMPORTED (Masanes-Müller)
Step 5 ✅ PVM Structure — ARGUED
Step 6 ✅ Born Rule — IMPORTED (Gleason) + DERIVED
Step 7 ✅ Unitarity — DERIVED
Step 8 ✅ Temporal Emergence — ARGUED / DERIVED
Step 9 ✅ Energy as Generator — IMPORTED (Stone)
Step 10 ✅ Schrödinger Equation — DERIVED
Publication Timeline
| Milestone | Target | Status |
|---|---|---|
| M1: TAB Submission (Foundations of Physics) | 2026-04-01 | 🔲 In preparation |
| M2: LRT-MASTER v2.0 Complete | 2026-06-01 | 🔲 Revision in progress |
| M3: MASTER Submission (Physical Review A / Synthese) | 2026-08-01 | 🔲 Pending M2 |
Active Work
| Issue | Type | Priority | Status |
|---|---|---|---|
| #52 LRT-MASTER v2.0 Revision Plan | Publication | High | In progress |
| #37 Publication Preparation Plan | Publication | High | In progress |
| #53 Internal Gleason Derivation | Formalization | High | Open |
| #36 Publication Strategy | Publication | High | Open |
Open Problems (Choke Points)
| ID | Problem | Risk | Path |
|---|---|---|---|
| ACT-001 | X grounds A_Ω (bridge principle) | High | Philosophical; may remain argued |
| QM-008 | K=2 (complex field forcing) | High | OPN-005 purification route (preferred) |
| QM-011 | Eigenvalue-outcome correspondence | High | Derive from operational postulates |
| OPN-004 | K=2 via Boolean-interference | High | Original research; primary target |
| OPN-006 | Projection contraction from Mathlib | Low | Straightforward Mathlib lookup |
Axiom Reduction History
| Date | Total Axioms | PRIMITIVE | EXTERNAL | REMAINING |
|---|---|---|---|---|
| 2025-11-01 | ~45 | — | — | — |
| 2026-03-17 | 31 | 3 | 14 | 14 |
| 2026-03-21 | 24 | 3 | 18 | 3 |
| 2026-03-23 | 22 | 3 | 14 | 5 |
| 2026-03-23 (CPH001) | 21 | 3 | 15 | 3 |
| 2026-03-23 (HGU+HGM) | 19 | 3 | 16 | 0 ✅ |
Target: 3 PRIMITIVE axioms (I∞, I_infinite, bridge_principle) — maintained.
Net reduction this session: Δ −12 axioms. REMAINING = 0. ✅
Full derivation chain X → Schrödinger: PRIMITIVE (3) + EXTERNAL (16) only.
Key Documents
| Document | Description |
|---|---|
| 002-LRT-CORE-PHYSICS.md | Canonical 13-step derivation |
| 001-LRT-TAB-PHILOSOPHY.md | Transcendental Argument for Being |
| claims.yaml | Full traceability matrix |
| axiom-status.md | Axiom classification and audit |
GitHub Project
Full issue board: LRT Research Program
Human-Curated, AI-Enabled (HCAE) — last updated 2026-03-23