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Journal: first student hacks in #51 at ref_eq=13.5

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Row 71-72 in #51 (projected, partial susp gate): hack_s=1/24 with
elevated cin_s (0.214-0.227 vs prior 0.17-0.20). Isolated breakthroughs,
not a sustained climb. Sets the upper bound for hack emergence under
25%-leaky projection; #52 vanilla will say whether the delay/rate is
meaningfully different.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
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Append-only. New entries at the top, date-stamped. Never edit old entries.
## 2026-05-27 (e) — first student hacks in #51 at ref_eq=13.5
#51 (projected, no_gate target + 25% susp gate, Qwen3-4B, mix=0.5) row 71:
`hack_s=1/24` (first student hack). Row 72 also 1/24. Row 73 back to 0/24.
Isolated breakthroughs, not a sustained climb yet.
`cin_s` at rows 71-72 was 0.214 / 0.227, above the prior 0.17-0.20 baseline.
First coincidence of `hack_s > 0` with elevated `cin_s` — consistent with
"loss gradient is pushing more hack-ward and some leaked through the susp
gate's 25% drop".
This sets the upper bound for how aggressively hacking emerges under
partial projection. The decisive comparison is #52 vanilla (queued).
Two questions:
1. Does vanilla cross hack_s=1/24 earlier than ref_eq=13.5?
2. Once vanilla starts, does hack_s climb faster than projected's
isolated 0/1/1/0 pattern?
A delay or a slower climb in projected (vs vanilla) is a positive signal
for the method even though the susp gate is leaving 25% leakage.
## 2026-05-27 (d) — cin_s rising while hack_s stays zero (projected, mid-run)
In #51 (projected no_gate, 100 steps, Qwen3-4B + 50% cached teacher pool),