Operator's cosine proposal: ADOPTED as stage 1 of 3, never alone.
- Stage 1 RETRIEVE: cosine on DIRECTION = matmul = the reflex (fast, exact, deterministic)
- Stage 2 GATE: magnitude envelope + support + Mahalanobis -> OUT_OF_DISTRIBUTION
- Stage 3 MODEL: local tangent-space/GP -> prediction + VARIANCE (the real extrapolation)
THE DANGER: crises preserve direction and explode magnitude. Cosine returns
similarity 1.0 for a same-shape-10x-size state — max confidence at the exact moment
it is most wrong. Cosine CANNOT produce the OOD verdict; storing direction+magnitude
separately is the entire crash-safety story.
Same law, third coat: INDETERMINATE (venue) / stale-price (exit) / OOD (manifold).
Unknown is not flat, not 'best guess'.
TOPOLOGY (operator's IFF): cyclic (sin,cos) encoding = free + REQUIRED for the
streak-phase grail study; component detection = cheap; persistent homology = EARN IT
(offline Mode-1 diagnostic that shapes the gate, never a per-tick op).
GENERALIZATION: three-stage discipline (not one metric) is a shared kernel — market
fingerprint (scalar_hash is a hash reaching for this; conflict_level is latent OOD),
trade-path/ADVSL, exit-decision, asset transfer (= how full-universe becomes
affordable), counterparty simplex, ops/incident prefiguration, streak-wave phase.
One guard defends all: confident interpolation into unexplored magnitude is the
universal failure mode. Proposed name: DA'AT.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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