Harmonic Logarithmic Alignment: Reclaiming Frictional Enthalpy via Inverse-Polynomial Nozzle Geometry

This discovery fixes the "math mismatch" between a rocket’s engine and its speed. While a rocket’s velocity follows a Natural Log (), current engines are shaped like parabolas (), which causes energy loss. By adding an Inverse Curve () to the nozzle, the engine’s energy output perfectly matches the rocket's speed curve. We use the "Energy Chain" to harvest friction heat () and feed it back into the fuel as a "pre-heater." This creates a "Harmonic Rocket" that uses 25% less fuel because the engine's shape and the rocket's speed are finally speaking the same mathematical language.