README: the softmax twin (endpoint, the claim audit)

README.md

@@ -96,12 +96,48 @@ under `mini-beatrix-2s/`.
 Final validation: **1.1097 bpb** on the fineweb-edu holdout — the run's best
 reading, set during the chat phase.
 
+## The softmax twin
+
+A pre-registered control ran the identical recipe and diet beside this craft:
+**mini-beatrix-2s-control** — the same preset with the hub list empty, so 16-head
+causal softmax attention (SDPA) in every one of the 20 blocks (257.4M parameters
+against this craft's 237M), 16.101B tokens in 61,422 steps, one craft per arm. At
+the matched endpoint (anneal_mix, step 61,422, same evaluation) the twin read
+**2.8846 bpb against this craft's 1.1097**, and this craft led at 11 of 11
+same-gauge paired boundaries after the twin's early lead (0.3B: twin 2.106 vs
+this craft 2.363; the first paired row at 5.3B: this craft 1.1172 vs twin
+1.1763); the s8 pair is struck because its two rows were measured on different
+gauges. The twin did not merely trail — it destabilized: its validation, on the
+one fineweb-edu holdout every row shares, went 1.18 (fineweb) → 1.57 (s4) → 2.18
+(s5) → 3.19 (s6) → 3.12 (s7), and the two anneal phases recovered it only to
+2.88; its pre-clip gradient norm first crossed the 1.0 clip at step 17,600 inside
+the fineweb phase while it still led, then escalated stage by stage (medians 0.29
+→ 6.5 → 2.4 → 12 → 13 → 24.5 → 126 → 471 → 162 → 145 → 167 → 215, spikes to
+41,070, clipped on 813 of 824 logged curriculum and anneal steps) while this
+craft's never reached the clip (0 of 824, max 0.62). The anneal was a diet change
+(1B of prose, then 1B with the chat frame), not a learning-rate decay: lr_scale
+read 1.000 throughout on both crafts. This is one craft per arm, and the twin
+was given none of softmax attention's usual stabilizers (no QK-normalization, no
+weight decay, no learning-rate decay, the same 1.0 clip). The claim that SDPA is
+not an adequate representative of this model's attention requirement is
+AbstractPhil's (2026-09-02); its audit (2026-09-04) grades the specific form an
+instance — under this recipe the twin is a destabilized control, and the gap
+measures stability rather than capacity — and the general form a candidate
+behind the recipe, the single seed, the shape (mini-beatrix-1's thirteen softmax
+blocks trained clean under the identical configuration), the aleph-addressed
+expert banks both crafts carry, and the learned position table on decay-free
+Muon. Paired reports: `mini-beatrix-2s-control/reports/v2/` beside this craft's
+under [alephllm-mini-beatrix-training](https://huggingface.co/AbstractPhil/alephllm-mini-beatrix-training);
+the paired chart is `article_assets_ft2/01_control_crossover.png` there.
+
 ## Lineage
 
 Code: [AbstractEyes/alephllm](https://github.com/AbstractEyes/alephllm)
 (this repo vendors the model files verbatim; alephllm 0.8.6).
 Sibling: [mini-beatrix-1](https://huggingface.co/AbstractPhil/mini-beatrix-1)
-(112M, 3-hub hybrid — the previous rung). The research memory behind every
+(112M, 3-hub hybrid — the previous rung). Control twin: mini-beatrix-2s-control
+(softmax attention in every block; weights, resume states and 15 reports under
+`alephllm-mini-beatrix-training/mini-beatrix-2s-control/`). The research memory behind every
 design decision is maintained privately; laws referenced in the code
 docstrings (supply ≤ 2D, min-sep governance, budget composition, born-null
 weight-zero) are measured, not aesthetic.