climateModelComponentsCert
climateModelComponentsCert supplies the certified record instance asserting that the climate component type has cardinality exactly five. Climate modelers extending Recognition Science to general circulation models would cite it to fix configDim at D = 5 for the five canonical components. The definition is a direct record construction that references the upstream cardinality theorem proved by decide.
claimLet $C$ be the enumerated type of climate components. The record $S$ of type ClimateModelComponentsCert is defined by the field equation $Fintype.card(C) = 5$, with the five components being atmosphere, ocean, land surface, cryosphere, and biosphere/carbon cycle.
background
The module fixes the operational depth for climate modeling inside Recognition Science by setting the number of general circulation model components to five, matching the configDim parameter D = 5. The five components are atmosphere, ocean, land surface, cryosphere, and biosphere/carbon cycle. The structure ClimateModelComponentsCert is a record whose single field requires that the finite cardinality of the ClimateComponent type equals five.
proof idea
This is a one-line definition that constructs the ClimateModelComponentsCert record by assigning its five_components field directly to the value of the climateComponent_count theorem.
why it matters in Recognition Science
The definition closes the B17 operational climate depth specification by providing the concrete instance that locks configDim to D = 5. It extends the Recognition framework's forcing chain (T0-T8) and Recognition Composition Law into climate modeling without yet linking to the phi-ladder or mass formula. No downstream theorems are recorded, leaving open its use in larger simulations.
scope and limits
- Does not derive the five components from J-uniqueness or the phi-ladder.
- Does not model physical interactions or fluxes among the components.
- Does not connect to the eight-tick octave or spatial dimension D = 3.
- Does not supply values for RS-native constants such as G or alpha in a climate context.
formal statement (Lean)
28def climateModelComponentsCert : ClimateModelComponentsCert where
29 five_components := climateComponent_count
proof body
Definition body.
30
31end IndisputableMonolith.Climate.ClimateModelComponentsFromConfigDim