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The full matrix: items 131 (as of 2026-07-17 late)

Scored source of truth: PROTOCOL_UNIFIED.md. All items pre-registered before running.

Arc I — Band-loop retrofit (MBPP; frozen E2B + merge adapter)

# tried key result control/reference verdict
14 unified merge adapter, k-loop over prompt MBPP hard 3.6→28.6 (k=2); GSM hard 0→6.3 k=0 same harness loop works on code; GSM fails from day one
5 same-size adapter, no recurrence 17.9 hard vs 28.6+ looped loop > weights — recurrence load-bearing
6 mixed-task training both tasks regressed single-task arms interference, no synergy
7 band-location ablation L1430: 43.6 vs early 23.6 / shifted 21.8 width-matched lens's "where" confirmed; some bands structurally null (KV-share)
9 anchor sweep 13/12/11 34/31/25% overall, monotone collapse L14 anchor L14 boundary special
10 L9 anchor (full-attention layer) catastrophic (≤21.4 hard) anchors 1113 lens boundary, not layer type

Arc II — Adapter-class factorial

# tried key result verdict
11 unconstrained RecurrentAdapter ρ→4.5, easy 98→69, no depth gain 4× params bought nothing
12 Parcae (ρ<1 certified) robust training, saturates, easy still 71% stability ≠ fidelity — independent dials
13a per-depth adapters (LTV) hard content depth-stranded (17.9 @ k=2) weight-sharing load-bearing
13b free-ACT probe no state fixed point; no difficulty gradient output-stable orbit; no free halting
14 tied-alpha (anchored B) easy 93 preserved; α never moves free B = fidelity culprit; 0.3 optimal
15 randk / noise-s₀ / h2048 / seeds 5054 cells → seed means 3746 lucky seeds; only seed means are levels
16 cross-task transfer code adapter on GSM toxic (easy →2845%) content task-local, monotone ladder

Arc III — Gates & the GSM boundary

# tried key result verdict
17 GSM-only training, best recipe hard ≤8.7 structural → supervision-density diagnosis
18/19 learned halting heads (E1a/b/c) all lose to E0 frozen probe; E1c easy routing 95.9 @ 0.11 iters classifier quality binds; hard recall regressed
20 threshold curve + oracle oracle 59.6 @ 0.24 iters; hards depth-diverse gate worth ~9.6 pts, unclaimed

Arc IV — Hybrid & internalization ladder (GSM)

# tried matched ablated/control verdict
21 carry + dense self-distilled scratchpads 57.4 FF control 54.7 5× prior best; recurrence edge = drop bucket, p=0.0094
22 delete steps d=1/2/3, +10 pauses each 31.6 / 18.4 / 19.1 base 10.9, cold 9.4 breaks at d=1; plateau 2× cold (p=0.0025)
23a 3× training steps val ↑ (overfit) time not binding
23b 3× pauses 29.3 31.6 bandwidth not binding
24 loop-only band-LoRA r16 stopped (fit unchanged) expressivity not binding; k=0 bit-exact validated

Arc V — Lens/state supervision of the latent chain

# tried matched ablated verdict
25 lens-CE: pause j ↔ deleted token j 31.2 lce 10.3→1.9 yet flat: writing ≠ computing
26 result-staging on pre-'=' spans 24.2 / 15.6 combined harmful — violates just-in-time schedule
27 zero-pause 10-iter burst + lens 34.0 32.4 (p=0.45) best nominal, ns; pause tape dead weight
28 teacher-state endpoint distillation 30.1 29.7 cos .113→.044, function absent; easy damaged

Arc VI — 2026-07-17 designs (Nils)

# tried matched ablated/ref verdict
29 trajectory TF (10 waypoint transitions) 39.1, p=0.045 39.1 burst-off (p=1.0) first significant positive — a training signal, not an inference loop; +fr 30.5 (hurts); answer-only 15.6 < 19.1
30 metacog readiness head on carried state AUC 0.798 FF AUC 0.791 signal real & cheap, NOT recurrence-specific; early-stop loses; oracle +3.9
31 synthetic KV memory (per-layer prefix) 39.5 39.1 (p=1.0) flat — gates frozen at 10 (init gradient-trap confound; 3 rerun open)

Instrument (unnumbered): whiteboard microscopy — three specimens + carry-vs-FF divergence (probe_discount*/probe_gsm*; board artifact).

Standing positives

MBPP loop-vs-weights gap · GSM drop-bucket reach (p=0.0094) · the 57.4 hybrid · trajectory-TF as a gradient (p=0.045) · 0.8-AUC readiness probe.

Standing walls

Consumption (8 write-side axes + 1 read-path attempt) · internalization (4 capacity axes + 4 supervision forms) · learned gates < frozen probe.

Open threads

Seeds for 39.1 · trajectory TF on rung A (move 57.4) · KV gate-init 3 · extension/deferral gating · g into the depth gate.