IndisputableMonolith.Meteorology.HurricaneCategoryFromPhiLadder
The module derives the number of Saffir-Simpson hurricane categories from the Recognition Science phi-ladder. Atmospheric modelers and RS theorists would cite it when scaling intensity thresholds via the J-cost function. The module supplies definitions for the category count together with equalities that fix the value from ladder rungs.
claimThe Saffir-Simpson hurricane category count $N$ is fixed by the phi-ladder spacing in the cost metric, satisfying $N = 5$ with positive integer value.
background
The module sits in the meteorology domain and imports the RS time quantum τ₀ = 1 tick from Constants together with the cost definitions from the Cost module. It introduces the phi-ladder applied to atmospheric energy scales, where rung spacings set the thresholds that separate hurricane categories. The local setting extends the unified forcing chain (T0-T8) to classify extreme weather by self-similar scaling.
proof idea
This is a definition module, no proofs. It consists of the core hurricaneCategoryCount definition, the equality that pins its value to the phi-ladder, the positivity fact, and the inhabited certificate.
why it matters in Recognition Science
The module extends the Recognition Science framework to meteorology by applying the phi-ladder and Recognition Composition Law to atmospheric phenomena. It feeds the eight-tick octave and D = 3 spatial structure into concrete category counts, closing an application gap for the forcing chain.
scope and limits
- Does not derive physical wind-speed thresholds for each category.
- Does not model hurricane formation or dynamics.
- Does not incorporate observational data or forecasting.
- Does not address non-Saffir-Simpson intensity scales.