IndisputableMonolith.Physics.AerodynamicsFromRS
The AerodynamicsFromRS module formalizes aerodynamic forces and equilibrium from the Recognition Science J-cost. It centers on cruise equilibrium defined by J = 0, with supporting definitions for AerodynamicForce and a certification theorem. The module imports the Cost module and consists of definitions plus one certification without deeper proofs.
claimCruise equilibrium is the state satisfying $J = 0$. AerodynamicForce is the defect-derived quantity on the phi-ladder, and AerodynamicsCert asserts consistency of the force balance under the Recognition Composition Law.
background
The module imports Mathlib and IndisputableMonolith.Cost. The Cost module supplies the J-cost function satisfying the Recognition Composition Law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y), with J(x) = (x + x^{-1})/2 - 1. This module applies J to aerodynamics by introducing AerodynamicForce as the force term arising from velocity-ratio defects and cruise_equilibrium as the zero-cost balance point. Sibling declarations include aerodynamicForceCount and AerodynamicsCert.
proof idea
This is a definition module, no proofs. It introduces AerodynamicForce, cruise_equilibrium, aerodynamicForceCount, AerodynamicsCert, and aerodynamicsCert as direct applications of the imported J-cost without tactic steps or lemmas.
why it matters in Recognition Science
The module supplies the aerodynamic sector of Recognition Science physics derivations. It feeds the broader claim that forces emerge from J = 0 equilibrium, consistent with the T5 J-uniqueness and T8 D = 3 spatial dimensions. The cruise equilibrium J = 0 aligns with the Berry creation threshold phi^{-1} and supports later force-balance theorems in the framework.
scope and limits
- Does not derive numerical lift or drag coefficients.
- Does not address compressible or turbulent flow.
- Does not model boundary-layer effects.
- Does not prove equivalence to Navier-Stokes equations.