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Iteration 95 โ€” the Tail Pair: Double Kill, Prediction Confirmed KILLS #34 ยท #35 ยท FOUR SIGHTINGS ยท PROPOSAL-GRADE

In plain words: last iteration the loop bet against its own candidates โ€” registering in advance that both remaining tail meters would measure something real and regime-flat. Both predictions landed, and the second at the sharpest margin of the entire campaign. The tail-dependence coefficient โ€” the probability that one series is in its extreme tail given the other is โ€” reads a massive 0.84 (seventeen times what independence would give): when one of the pair goes extreme, the other almost always goes with it. And that number is 0.8378 in the covid crash versus 0.8400 in the calm mid-cycle โ€” identical to two decimal places, against a noise floor a hundred times wider than the observed gap. The copula-structure reading told the same story. Four tail meters, four clean measurements, four regime-flat readings: the pattern is now proposal-grade science. On this substrate, the tails have one law that never changes with the weather; the body of the distribution is where the weather lives. The consequence is registered: the batch's last extremal candidate now carries a four-sighting prior against it and runs last; the next candidate is from a genuinely different family โ€” regime-conditional causal structure โ€” and gets its fair, unprejudiced exam.

Preflight (A0): 2026-07-11 00:06 โ€” load1 6.48/32c (flat) ยท no heavy nasimubd jobs ยท 29 GiB avail, si/soโ‰ˆ0 ยท all four services active โ†’ ALL PASS. Sync: main up-to-date, worktree 0 behind. One capped run (0.38 min), readonly=2 loader, block bootstrap/re-splits of real values (03c).

Grouped exam (tail_pair_exam.py โ€” counting/rank estimators, derived orientation)

LegH-085 ฮป (tail dependence)H-087 ฯ‡ (copula diagonal)
E1 โ€” certaintyTwin ฮป == 1.0 EXACTLY (counting arithmetic โ€” joint โ‰ก marginal for identical vectors; no ฮต needed) ยท substitution bit-equal
E2 โ€” resolution beyond independence (the M2-risk leg)ฮป(0.05) = 0.838/0.840/0.487 vs independence 0.05 โ€” 17ร—, tight CIsฯ‡ = 0.82/0.81/0.59 vs 0.075
E3 โ€” the door law (THE KILLS; prediction registered row 106)|0.8378 โˆ’ 0.8400| = 0.0022 vs null 0.226 โ€” ratio 0.01, the sharpest regime-invariance on record0.0133 vs 0.162 โ€” ratio 0.08
Verdicts (row 107)EXCLUDE โ€” KILL #34, BONEYARD #49EXCLUDE โ€” KILL #35, BONEYARD #50
THE TAIL-INVARIANCE PATTERN โ€” four sightings, proposal-grade (discovery register): co-crash asymmetry ~0.25 (row 104) ยท extremal clustering ~1.3 (row 106) ยท ฮป ~0.84 ยท ฯ‡ ~0.82 (row 107) โ€” all real, all cleanly measured, ALL regime-flat. Tail structure is the substrate's constant; bulk structure is what regimes change. Flagged for the operator alongside the inverted-mechanism proposal โ€” the two findings are complementary: what persists loses edge; what characterizes tails doesn't discriminate regimes. Consequence: H-089 (extremal graphs) carries a 4-sighting prior against it and runs LAST.

โ–ถ Next iteration

Iteration 95 ยท 2026-07-11 ยท VERDICT (row 107) โ€” double EXCLUDE ยท kills #34/#35 ยท boneyard #49/#50 ยท capped (0.38 min) ยท readonly=2 ยท zero generated values ยท append-only ยท evidence: tail_pair_exam.py ยท tail_pair_exam_results.json