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SLE fractal-measure normalization reference

Family 230: Exact Hausdorff gauges for SLE. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Random-curve researchers can track the correct Hausdorff gauge and positive finite measure statement for SLE traces.

Applicability and commercial boundary

The gauge is asymptotic and the curve law is specific. It is not an automatic length estimator for arbitrary coastlines, paths or digital shapes.

Initial business decision

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

Next verification action

Inspect numerical gauge estimators and their finite-resolution behavior.

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

An exact Hausdorff gauge for SLE.