parcae outcome scored: dynamics confirmed, fidelity refuted -- stability and fidelity are independent dials

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-15 02:38:51 +02:00
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@@ -180,3 +180,19 @@ bought nothing. Depth-monotone computation did not emerge at this budget.
    (as in parcae). If (a) holds while rec arms failed it, the
    fixed-point-location dial is causally isolated: same learnable-decay
    freedom, only the tie to (1−a) differs from parcae.
 --- Outcome, item 12 (scored 2026-07-15): prediction (a) CONFIRMED in its
 dynamics half, REFUTED in its fidelity half — and the refutation is the
 finding. Dynamics: rho stayed in (0,1) throughout (0.300 -> 0.292, the
 optimizer drifting MORE contractive when confined to the stable region);
 loss trajectory as good as or better than the unconstrained arm at every
 checkpoint (the rec arm's flight to rho~4.5 was epiphenomenal — all fit
 lives in the MLP); eval saturates completely (hard 42.9/42.9/39.3/39.3/
 39.3 at k=2/4/8/16/32, easy flat ~71%). Fidelity: easy items were NOT
 preserved (71% vs the merge's 88.5%) despite guaranteed contraction —
 substrate fidelity is controlled by fixed-point LOCATION (anchored B +
 curriculum), not by rho. Conclusion: stability and fidelity are
 independent dials (fig_phase.png); the Parcae constraint delivers exactly
 what it promises (robust training, convergence, certified tail gradients)
 and exactly nothing more. Item 14 (tied-alpha) is the causal isolation of
 the fidelity dial.