# Double-dimer loop scaling research suite

Family 226: The double-dimer loop ensemble converges to CLE<sub>4</sub>. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Random-geometry researchers can compare full macroscopic loop ensembles rather than only loop observables.

## Applicability and commercial boundary

The half-plane Temperleyan lattice and nested CLE4 limit do not apply to arbitrary matching graphs or yield a production sampling acceleration.

## Initial business decision

Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Identify a finite half-plane approximation and its sampling baseline.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[The curve scaling limit of half-plane double dimers](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-curve-scaling-limit-of-half-plane-double-dimers-September-23-2026/paper.pdf).