This treatise addresses the crucial scalar transition between cosmic physics and biological life by deriving the rocky planet as a necessary phase-separation engine. Following the establishment of universal physical laws in Treatise XI, the Relational Field encounters a ”Bandwidth Crisis”: diffuse cosmic fluxes lack the concentration density required for complex, self-sustaining informational loops. We demonstrate that gravitational collapse of heavy elements into hydrostatic spheres serves as a systematic sorting mechanism for the triadic primitives—Systematization (E), Constraint (C), and Registration (F )—creating the core-mantle-crust architecture as a macro-scale instantiation of the Inversion Principle. The treatise then descends to the micro-scale, deriving alkaline hydrothermal vents as natural geochemical batteries where Iron-Sulfur mineral labyrinths function as the first ”inorganic cells.” We prove that the proton gradient driving early metabolism was a geological given, not a biological invention. Finally, we derive the informational takeover by RNA and the subsequent ”Great Decoupling” through which life internalized the inversion principle via ATP-synthase and DNA-protein architecture, achieving autonomy from its planetary womb. The planetary engine is thus revealed as the necessary intermediate scale that transforms cosmic potential into biological actuality.
Eugene B. Pretorius (Wed,) studied this question.