item 32 pre-registered (Nils's synthesis): discrete latent chain — lens-snapped token embeddings fed back via zero-init projector (ST top-32, TF/free-running arms, frozen arm-1 merge); sym_iterate in carry_common, trainer/eval wiring

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

scripts/jobs/zzz_y_symchain.sh

@@ -0,0 +1,15 @@
+# gpuq-in:  results-loop/star_data.json results-loop/gsm_cot_data.json results-loop/adapter_carrycot_b1_ii10_tjs50_00_p0_e200.pt
+# gpuq-out: results-loop/eval_gsm_carrycot_b1_sc*.json results-loop/train_carrycot_b1_lt03_ii10_sc*_log.json results-loop/symproj_carrycot_b1_lt03_ii10_sc*_e200.pt
+git pull origin main -q 2>/dev/null
+P=/home/nils/jspace/.venv/bin/python
+export JLENS_MODEL=google/gemma-4-E2B-it LOOP_OUT=/home/nils/jspace/results-loop
+cd /home/nils/jspace/scripts
+A=$LOOP_OUT/adapter_carrycot_b1_ii10_tjs50_00_p0_e200.pt
+for MODE in tf st; do
+  $P train_carry_cot.py --drop-steps 1 --pause-per-step 0 --base-pauses 0 \
+     --inner-iters 10 --lensteach 0.3 --symchain $MODE --freeze-merge \
+     --warm-start $A --steps 200 --lr 1e-3
+  $P eval_carry_cot.py --adapter $A \
+     --symchain $LOOP_OUT/symproj_carrycot_b1_lt03_ii10_sc${MODE}_fm_p0_e200.pt \
+     --tag gsm_carrycot_b1_sc$MODE --grid 0:0,2:0 --n 256 --inner-iters 10
+done