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@@ -43,8 +43,14 @@ The looped-EP precedent multiplier was ~230× BP; the K-frontier decides whether
reads (no global backward graph); the EQUILIBRIUM mode (jacobi/CG to convergence) remains the
physically-meaningful EP column — priced expensive by the sweep, CG/preconditioning is the B2 job,
and it is the analog-hardware rung (E-tier).
-- **C1 money run LAUNCHED:** casc_ep6 (zil, seed 0) vs casc_bp6 (BP twin, best 2.9746@4k) —
- step-0 CE bit-identical (true twin). 107 GPU3.
+- **C1 (zil) ran and is RETIRED with zil itself:** casc_ep6 best 3.3236 vs BP twin 2.9746 (gap 0.35
+ — single-sided zil top-read carries an O(β) shift on the readout term; moot now).
+ **USER DIRECTIVE (2026-07-09 night): zil is NOT the route — it is BP in disguise; the project
+ stays on TRUE EP = equilibrium-mode two-phase relaxation.** zil survives only as (a) a diagnostic
+ upper bound, (b) optionally a numerical STATE-INIT trick for GPU simulation (`--init_sweep`:
+ readout still taken at the relaxed equilibrium = clean EP semantics; hardware needs no init trick
+ — physics settles). **Critical path = B2: make the equilibrium solver cheap** (Adam-on-states /
+ init-sweep warm start / GS-multi-sweep / λ_l preconditioning), then rerun C1 in equilibrium mode.
## Tier 0 — gate hardening (probe-scale, hours, no training) → K1