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Laughlin model disorder robustness audit

Family 269: Uniform Laughlin gap and stability under bounded scalar disorder. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Quantum Hall researchers can organize perturbation studies around the round-sphere V1 model at filling one third and its claimed uniform scalar-disorder threshold.

Applicability and commercial boundary

The specific interaction, geometry and projected one-body scalar disorder do not describe every physical sample. Effective thresholds, finite size and Landau-level mixing need separate treatment.

Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

Next verification action

Extract explicit threshold dependence and compare with one finite exact model.

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.

Main source

Uniform Stability of the Spherical Laughlin Gap.