Systemic Impedance and Predatory Pricing Manifolds: A Mathematical Refutation of Frictionless Classical Equilibrium

Classical macroeconomics, as synthesized by N. Gregory Mankiw, relies on the axiomof frictionless market clearing, assuming that supply and demand smoothly transition toa new equilibrium during contractions. This paper invalidates the soft-landing hypothesisby introducing absolute Survival Gravity (G) and Systemic Impedance (ρ) into the pric-ing manifold. We mathematically prove that because carbon-based economic nodes cannotpause their biological thermodynamic consumption, the market exit cost is never zero. Con-sequently, top-tier capital utilizes predatory pricing to artificially spike localized impedance,weaponizing time to execute forced liquidations of competing nodes.