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docs(changelog): ade-cascade round 1 + m15 exp_05 + dns instrument v0
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# ADE Cascade Round 1 + M15 exp_05 + DNS Instrument v0
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**Date**: 2026-07-17
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**Branch**: research/ade-cascade-round1
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**Context**: Re-founding the turbulence program on milestone-era machinery after the
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2026-07-17 stack audit (6 lore FDOs corrected). All experiments pre-registered per
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the midnight invariant-registration discipline (reg commit c5e05712) before any run.
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## New experiments
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- `foundational/experiments/ade_cascade/` — Dynkin graph-distance coupling for the
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PAC cascade engine (reuses milestone12 DynkinDiagram, milestone15 build_cycle).
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The legacy kernel exp(−|i−j|·cd) is nested exactly as the A-family arm.
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- **R1 CONFIRM**: at equal rank, A/D/E topologies produce distinct exponents
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(E < D < A at ranks 6–8; separations 20–90× CI half-width). Mode-count-only
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null is dead. [D] the legacy engine's 3.3% miss of −5/3 is an A-family
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artifact: D_8 = −1.6624 (0.26% from Kolmogorov).
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- **R2 KILL**: affine-vertex reading of the k−1 offset dead (median ρ = 0.91,
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direction reversed — cycle closure steepens). Registered kill; clue recorded.
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- **R3 CONFIRM**: mode-count monotonicity survives the kernel swap.
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- `foundational/experiments/dns_instrument/` — 2D pseudo-spectral NS v0, qualified
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(TG 2×10⁻¹⁵, budget 4×10⁻⁹, resolution 1.1×10⁻⁸). No physics claims at v0;
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GPU-phase measurement runs to be separately registered.
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## Milestone 15
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- `exp_05_general_k_limit.py`: anchor k=2 reproduces 8/3 to 6×10⁻⁸; **both**
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registered candidates for the general-k limit die (L₃ = 5.4913 vs K1 3.0667 /
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K2 2.625; L₄ = 11.1863 vs 3.3524 / 2.619). The 8/3 = F₆/F₄ Fibonacci
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coincidence is formally retired; general-k limit OPEN, no post-hoc fit.
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K3: ℤ₂ even-reflection telescoping universal (det H = +1, k = 2,3,4, m ≤ 30).
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Anchor gate caught a sign-convention instrument bug (VOID first run, disclosed).
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## Engine change
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- `milestone4/core/utils.py::energy_cascade`: optional `coupling_matrix` injection
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(default bit-identical, gate-verified G1/G2 = 0.0 diff, G3 baseline reproduced);
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per-scale `psd_shift` now recorded (threat T1 monitoring).
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## Lore sync
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FDOs updated this session: `med-navier-stokes`, `she-leveque-fibonacci-turbulence`,
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`cascade-turbulence-mode-count` (incl. exp_15 audit: 800× is ~1063× CoV-of-CoV;
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B.2 CI excludes −5/3), `pac-dag-fluid`, `bidirectional-sec-pac-fluid`,
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`milestone15-representative-problem`. New FDO for ade_cascade round 1 created
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post-outcomes.

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