Math Mapgenerated 2026-10-25 · a354234
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P-019probeOpen2026-09-15speculativeanalysis

Does every computable magnitude come through a convex dual?

convex-duality · magnitude · rate-function · pressure-function · retrodiction · speculative

no run lists this probe in builds_on:

Stands onnonefrom builds_on: and related:
Stood on byN-039incoming references, computed at build — never typed

Speculative — an open question, recorded because it is a retrodiction that has never been checked forward.

The claim. Every magnitude actually computed in the work came through a convex dual — a pressure or rate function, a Legendre/Varadhan transform turning an integral into a supremum; every magnitude that resisted has no convex dual. Proposed as a criterion that predicts the record retrospectively.

Why it stays a probe. A criterion that fits the record after the fact is a retrodiction; it earns nothing until it predicts forward. Discriminator (the gate): name, in advance, a magnitude neither computed nor filed; predict computable-or-not from whether it has a convex dual; attempt it; score. Until that runs, this is a pattern in a small self-selected sample, not a law.

17 source lines, no addenda.

generated 2026-10-25the lab index