IndisputableMonolith.ILG.PressureForm
The ILG.PressureForm module supplies the core definitions for pressure forms inside the Indisputable Logic Gravity layer, including effective source terms, derived pressure functions, and their equivalences. Researchers modeling vorticity-driven pressure changes in flight dynamics cite it when they need the mathematical proxy layer before imposing physical hypotheses. The module is organized as a sequence of sibling definitions and equivalences that rest directly on Mathlib structures.
claimThe module introduces the effective source map $S$, the pressure function $p$, the composite $p(S)$, and the equivalence relating source terms to pressure drop in the ILG setting.
background
Within the Recognition Science framework the module sits in the ILG domain and supplies the pressure-form layer that Flight.Pressure later consumes. It defines effectiveSource as the mathematical proxy for physical sources, pressure as the derived scalar field, effectiveSource_pressure as their composition, and source_equiv as the relating statement. The module imports only Mathlib and exposes the sibling objects Phys, Kernel, effectiveSource, pressure, effectiveSource_pressure, and source_equiv to support these constructions.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module feeds the Flight.Pressure layer, which explicitly separates a mathematical pressure proxy from the physical hypothesis that the proxy matches measured pressure drop. It supplies the ILG-native forms required for any downstream argument that links vorticity to pressure, thereby closing one link in the chain from abstract Recognition Science definitions to concrete flight-dynamics statements.
scope and limits
- Does not prove that the pressure proxy equals measured data.
- Does not derive the forms from J-cost or phi-ladder primitives.
- Does not supply numerical evaluation or discretization.
- Does not address spatial dimension D=3 implementations.