IndisputableMonolith.Meteorology.WeatherPredictabilityFromJCost
The Meteorology.WeatherPredictabilityFromJCost module instantiates the Canonical J-Cost Band template for weather predictability. It supplies PredictionRange and WeatherPredictabilityCert to certify J-cost properties on meteorological ratios. Recognition Science users cite it as one of the Plan v7 domain certs in the master chain. The module follows the reusable six-clause structure imported from CanonicalJBand.
claimWeather predictability holds when the J-cost on prediction-range ratios satisfies $J(1)=0$ and $J(x)≥0$ for $x>0$, via the six-clause band template.
background
The module belongs to the Meteorology domain and imports CanonicalJBand, whose doc-comment states it supplies the reusable six-clause J-cost-on-ratio template for B-tier whole-science openings and the Plan v7 forty-something domain certs. The template guarantees matched-zero: J(1)=0 and nonneg: J(x)≥0 for x>0. Sibling declarations PredictionRange, predictionRangeCount, WeatherPredictabilityCert and weatherPredictabilityCert apply these clauses to weather contexts.
proof idea
This is a definition module, no proofs. It directly instantiates the six-clause template from the imported CanonicalJBand module to produce the meteorology-specific range and cert objects.
why it matters in Recognition Science
The module supplies the meteorology instance in the master cert chain described by CanonicalJBand. It contributes to B-tier whole-science openings and the Plan v7 domain certs by extending the J-cost band to weather predictability. No downstream uses are recorded yet.
scope and limits
- Does not derive numerical forecasts or dynamical equations.
- Does not address data assimilation or observational error models.
- Does not prove J-function uniqueness within meteorology.
- Does not cover long-term climate statistics beyond short-range predictability.