Round 34 random-target ablation: Mode 1 fires under random labels too

Codex round 34 picked OPTION A (i.i.d. random class targets per minibatch) over the
analytic-only OPTION D as the most discriminating test of 'is (a) intrinsic to DFA
update geometry or task-driven?'. Smoke test result is unambiguous:

  ep 0: ||h_L||=8.9    ||g_L||=9.8e-4
  ep 1: ||h_L||=1616   ||g_L||=5.1e-6
  ep 2: ||h_L||=9768   ||g_L||=8.5e-7
  ep 3: ||h_L||=14510  ||g_L||=5.6e-7   (test acc still at chance ~0.07)

Three orders of magnitude growth in ||h_L|| in 3 epochs, three orders of magnitude
collapse in ||g_L|| in the same 3 epochs, with NO task signal whatsoever — DFA's
local-loss geometry is the proximate driver, not data adaptation.

- experiments/snapshot_evolution_residual_explosion.py: add --random_targets and
  --skip_bp flags
- paper/main.tex §3 ¶1: replace 'no explicit scale constraint' framing with codex
  round 34's 6-line geometric argument and the random-target empirical falsifier
- paper/main.tex Appendix J: full smoke-test table + interpretation
- v2.3: 14 pages total, main content still 8 pages

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

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