IndisputableMonolith.Physics.ClimatePhysicsFromRS
This module applies Recognition Science to climate physics by defining energy balance as the J=0 condition. Researchers unifying climate feedback with the J-cost formalism would cite it. The module imports the Cost module and declares objects including ClimateFeedback, energy_balance, and ClimatePhysicsCert that encode the zero-cost equilibrium.
claimEnergy balance in climate physics holds when $J=0$, where $J(x)= (x + x^{-1})/2 -1$ is the recognition cost function.
background
Recognition Science derives all physics from the J-cost satisfying the Recognition Composition Law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y). The module imports IndisputableMonolith.Cost, which supplies the definition J(x) = (x + x^{-1})/2 - 1. It introduces ClimateFeedback as a count of deviations from equilibrium and energy_balance as the explicit J=0 state, together with a certification object ClimatePhysicsCert.
proof idea
This is a definition module, no proofs. It declares the climate objects and the energy_balance predicate directly from the imported J-cost, with ClimatePhysicsCert serving as a wrapper that records the J=0 condition.
why it matters in Recognition Science
The module supplies the energy-balance foundation for climate applications inside Recognition Science, directly realizing the statement Energy balance: J = 0. It connects to the T5 J-uniqueness step of the forcing chain and provides the base objects used by downstream climate derivations.
scope and limits
- Does not derive numerical climate predictions or time series.
- Does not incorporate external forcings outside the J-cost.
- Does not prove stability or uniqueness of the J=0 state.
- Does not address spatial climate fields beyond the scalar balance.