From 8ff9b692f9c3826f19e57c05a6ceae06f1bfecd5 Mon Sep 17 00:00:00 2001 From: "Richard J. Reyes" Date: Sun, 28 Jun 2026 22:13:58 -0700 Subject: [PATCH] Add Lean paper equation coverage map draft --- LEAN_PAPER_EQUATION_COVERAGE_MAP.md | 103 ++++++++++++++++++++++++++++ 1 file changed, 103 insertions(+) create mode 100644 LEAN_PAPER_EQUATION_COVERAGE_MAP.md diff --git a/LEAN_PAPER_EQUATION_COVERAGE_MAP.md b/LEAN_PAPER_EQUATION_COVERAGE_MAP.md new file mode 100644 index 0000000..58e2963 --- /dev/null +++ b/LEAN_PAPER_EQUATION_COVERAGE_MAP.md @@ -0,0 +1,103 @@ +# Lean Paper Equation Coverage Map + +**Status:** First-pass Lean coverage audit / review draft +**Date:** 2026-06-28 +**Repository:** `rickyjreyes/wct-lean` + +This file answers a narrow question: + +> Are the major equations from the WCT papers represented in Lean? + +This document does **not** change canonical equations, physical claims, paper text, SymPy status, or Lean theorem status. It only maps paper families to the current Lean formalization state. + +--- + +## Current maintained Lean coverage + +The canonical WCT registry contains 142 objects. + +Current maintained Lean direct/supporting mappings cover 18 canonical IDs: + +```text +E1A E1B E2 E3 E5 E6 E7 E9 E13 E14 E17 E18 E58 E78 CM9 CM12 CM13 CM16 +``` + +The maintained index says the other 124 registry objects do **not** have direct completed Lean mappings. + +Important rule: + +```text +A SymPy PASS is not a Lean proof. +A Lean theorem is not empirical validation. +``` + +--- + +## Summary answer + +```text +Does Lean include all major equations from all papers? +No. + +Does Lean account for the 142-object registry? +Yes, through FORMAL_COVERAGE_INDEX.md. + +How much has direct/supporting maintained Lean coverage? +18 of 142 canonical IDs. + +Is the core mass/phase/energy spine partially Lean-supported? +Yes. + +Is full paper-level Lean coverage complete? +No. +``` + +--- + +## Paper-level Lean status + +| Paper / branch | Lean status | Current Lean IDs / notes | +|---|---|---| +| Geometry of Resonance | PARTIAL | E17, E18 only; M2/M6/M7 and many descendants not complete | +| Phase-Flux Field | PARTIAL | E9, E13, E14, E58 | +| Rest Energy / Loop Curvature | PARTIAL / strongest | E1A, E1B, E2, E3, E5, E6, E7; missing M1/E4/E8/full variational closure | +| Hard Dimensionality Bound | NOT COVERED directly | M4, E24-E27, E65-E70, TOP1-TOP9 need Lean work | +| Physical Constants | MOSTLY NOT COVERED | E6/E7 skeleton only; parameter derivations not complete | +| Fourier Cymatics | PARTIAL | E13, E14, E58; entropy/support/convergence not complete | +| Effective Mass | PARTIAL | E1A/E1B/E5/E6/E7; CLE/E19/E49 not complete | +| Log Curvature Flow | NOT COVERED in maintained index | G1, EX, EY, EZ, FA not direct Lean mappings | +| Koide Mass Relation | PARTIAL / adjacent | Koide.lean and KoideDerivation.lean exist, but canonical ID integration incomplete | +| Water cavity | NOT COVERED / empirical | could formalize Q/power algebra later | +| Photodiode ledger | NOT LEAN TARGET yet | needs prediction/experiment object mapping first | +| JUNO ghost-mode | PARTIAL definitions only | CM12/CM13 definitions; G1 and smearing not complete | +| LHCb C9 | NOT COVERED | needs object extraction | +| B0 -> K* spectra | NOT COVERED | needs object extraction | +| NIST Atomic Line List | NOT COVERED / data-analysis | needs object extraction | +| WCC / P-NP equivalence | MOSTLY NOT COVERED | E78 adjacent TODO only; M5/E35-E40/E71-E76 not complete | +| WCC model separation | NOT COVERED | needs formal computational model | +| P vs NP critique | NOT LEAN TARGET yet | claim mapping before Lean | +| WaveLock | NOT COVERED | only nearby E17/E18 generic pieces | +| RCA / safe superintelligence | NOT LEAN TARGET yet | concept/protocol mapping first | +| AI drift audit | NOT LEAN TARGET | prediction audit, not equation formalization | +| Fusion tokamak control | NOT COVERED | handoff gate/control equations need extraction | + +--- + +## Best next Lean targets + +```text +M1 / E4 / E8: full locking solution and weighted identity family +M2 / E17: full complex modulus-squared curvature operator +E13/E14: full generalized Euler-Lagrange / gradient-flow theorem +E18: full functional chain rule and coercivity route +M4 / E24 / E65-E70: Sobolev dimensional threshold and corrected high-regularity route +EX / EY / EZ: log transform and Cole-Hopf reduction +CLE1-CLE10: curvature-locking/electron sector +Koide files -> explicit canonical KOIDE IDs and declaration map +``` + +--- + +## Conclusion + +Lean is a serious formal scaffold, but it does **not** include all major equations from all papers yet. The correct next step is to expand Lean coverage from the 18 maintained IDs toward the core mathematical spine first.