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dag: fix 3 critical jiggles, document 10 known
FIXED: PhotonTorsionProbe.lean:37 — placeholder theorem (proved 1>0) DESIInvariant.lean:208-221 — 4 vacuous sigma-range theorems UniversalBridge.lean:261 — missing .isSome for intermittency(3150) DOCUMENTED (known jiggles): Moody chart slopes (heuristic but acceptable) wa has no SM derivation (largest open question) w0 projection formula (self-acknowledged heuristic) alpha = max|beta|/(4*pi) (invented relation) CMB Q factor 13 discrepancy (unresolved) 10 known jiggles total, 69/82 theorems clean (84%)
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4 changed files with 60 additions and 12 deletions
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@ -124,6 +124,9 @@ def sigma8_DR2 : Int := 53215
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/-- σ₈ uncertainty (DR2), Q16_16: ±0.011 × 65536 = 721 -/
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def sigma8_DR2_sigma : Int := 721
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-- Helper: absolute difference
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def absDiff (a b : Int) : Int := if a ≥ b then a - b else b - a
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 Observation Record
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-- ═══════════════════════════════════════════════════════════════════════════
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@ -204,20 +207,16 @@ theorem w0_above_LCDM : w0_DR2 > w0_LCDM := by
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theorem wa_below_LCDM : wa_DR2 < wa_LCDM := by
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native_decide
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/-- w₀ is within 3σ of the reported central value -/
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theorem w0_in_3sigma : w0_DR1 - 3*4129 ≤ w0_DR1 ∧ w0_DR1 ≤ w0_DR1 + 3*4129 := by
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/-- w₀ DR2 is consistent with DR1 within 1σ -/
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theorem w0_dr1_dr2_consistent : absDiff w0_DR1 w0_DR2 ≤ w0_DR2_sigma := by
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native_decide
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/-- w_a is within 3σ of the reported central value -/
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theorem wa_in_3sigma : wa_DR1 - 3*19005 ≤ wa_DR1 ∧ wa_DR1 ≤ wa_DR1 + 3*19005 := by
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/-- w_a DR2 is consistent with DR1 within 1σ (larger DR2 uncertainty) -/
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theorem wa_dr1_dr2_consistent : absDiff wa_DR1 wa_DR2 ≤ wa_DR2_sigma := by
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native_decide
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/-- Ω_m is within 3σ of the reported central value -/
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theorem omegam_in_3sigma : OmegaM_DR1 - 3*524 ≤ OmegaM_DR1 ∧ OmegaM_DR1 ≤ OmegaM_DR1 + 3*524 := by
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native_decide
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/-- σ₈ is within 3σ of the reported central value -/
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theorem sigma8_in_3sigma : sigma8_DR2 - 3*721 ≤ sigma8_DR2 ∧ sigma8_DR2 ≤ sigma8_DR2 + 3*721 := by
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/-- Ω_m DR1 and DR2 are consistent within 1σ -/
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theorem omegam_dr1_dr2_consistent : absDiff OmegaM_DR1 OmegaM_DR2 ≤ OmegaM_DR2_sigma := by
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native_decide
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-- ═══════════════════════════════════════════════════════════════════════════
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@ -34,8 +34,13 @@ def E_wall : Int := 448 -- ×10^6 GeV
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-- The torsion model predicts: delta_c / c < (E_gamma / E_wall)^2 < 1e-35
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-- This is 20 orders of magnitude below the current bound.
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theorem torsion_dispersion_negligible : (1 : Int) > 0 := by
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native_decide -- placeholder: the effect is computationally negligible
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-- NOTE: no theorem here. The torsion-induced photon dispersion is
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-- suppressed by (E_gamma / E_wall)^2 < 10^-35 at all lab energies.
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-- This is 20 orders of magnitude below the HOM interferometry bound
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-- (delta_c/c < 10^-15). Any Lean theorem proving this would require
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-- computing 10^-35 in Q16_16, which underflows to 0. The physics is
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-- sound but unverifiable by finite arithmetic — the null result is
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-- guaranteed by scale suppression, not by theorem.
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-- Vacuum birefringence bound from cavity QED:
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-- delta_n < 1e-20 (vacuum is isotropic for all polarizations)
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@ -257,6 +257,11 @@ theorem intermittency_at_turbulent_entry :
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(intermittency RE_TURBULENT).get! = SCALE := by
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native_decide
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/-- `intermittency` returns `some` at Re=3150 (transitional midpoint). -/
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theorem intermittency_midpoint_some :
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(intermittency 3150).isSome := by
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native_decide
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/-- Intermittency at the midpoint (Re=3150) is strictly between 0 and SCALE. -/
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theorem intermittency_midpoint_in_range :
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let v := (intermittency 3150).get!
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@ -0,0 +1,39 @@
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# Theorem Jiggle DAG — 2026-05-13
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**Build:** `lake build Semantics` — 3529 jobs, zero errors
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**Commit:** pending (jiggle fixes applied)
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---
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## Fixed Jiggles
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| File | Issue | Fix |
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|------|-------|-----|
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| `PhotonTorsionProbe.lean:37` | Placeholder theorem proving `1 > 0` | Replaced with honest comment: effect underflows Q16_16 |
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| `DESIInvariant.lean:208-221` | 4 vacuous theorems: `v - 3s <= v <= v + 3s` | Replaced with DR1 vs DR2 consistency checks via `absDiff` |
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| `UniversalBridge.lean:261` | `.get!` at Re=3150 without `.isSome` guard | Added `intermittency_midpoint_some` companion theorem |
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## Known Jiggles (acknowledged, not fixed)
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| File | Issue | Status |
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|------|-------|--------|
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| `UniversalBridge.lean:8-9` | Hermite slopes m0, m1 from Moody chart, not first principles | **Heuristic — acceptable for engineering bridge** |
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| `UniversalBridge.lean:22-23` | Q16_16 ±1 ULP truncation error | **Known, negligible for application** |
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| `UniversalBridge.lean:150-161` | Laminar exit discontinuity (friction jumps at Re=2300) | **Physics discontinuity in Moody chart, not model error** |
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| `DESIModelProjection.lean:68-72` | w0 calibrated to DESI DR1, not predicted | **Documented as calibration** |
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| `DESIModelProjection.lean:82-85` | wa = -0.55 has no SM derivation | **Heuristic — largest open question** |
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| `DESIModelProjection.lean:87-93` | Omega_m = 0.290 from void fraction calibration | **Heuristic — needs RG derivation** |
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| `CouplingRotation.lean:15` | w0 projection formula is invented | **Self-acknowledged heuristic** |
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| `TorsionWall.lean:10-12` | alpha = max|beta|/(4*pi) is invented formula | **Acknowledged as proposed relation** |
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| `CMBTorsion.lean:60-66` | Q predicted 13x above measured, handwaved | **Factor 13 discrepancy not resolved** |
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| `ClusterBHAnchors.lean:86` | M-sigma from fractal sum is post-hoc | **Geometric, not physical** |
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## Verdict
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| Metric | Value |
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|--------|-------|
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| Total theorems audited | 82 |
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| Fixed jiggles | 3 |
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| Known jiggles | 10 |
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| Clean theorems | 69 (84%) |
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| Build status | 3529 jobs, zero errors |
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