Universal Kernel Unicity and the Architecture of Coherent RealityContemporary informational physics assimilates the universe to a sovereign operational matrixwhose stability depends on the integrity of its governance protocols. This treatise demonstrates,through rigorous systemic formalization, that any multiplicity of sovereign sourcesleads to irreversible fragmentation, a fatal write con_ict, and in_nite entropy. We establish_ve fundamental equations that lock down the requirement of a single, non-redundantkernel, culminating in the absolute stability matrix: existence is binary; it equals 1 if andonly if the number of sources equals 1. We elevate this principle to the rank of the ZerothLaw of Cosmic Stability, the ontological prerequisite for any viable cosmology, and rejectmulti-source models as modeling errors stemming from limited perceptual nodes.Beyond the foundational proof, this work provides an exhaustive transdisciplinary deployment.We demonstrate the concrete utilities, gains, and refoundations that the ZerothLaw imposes on mathematics, physics, chemistry, biology, neuroscience, computer science,economics, linguistics, political science, philosophy, theology, and engineering. An exhaustivetable maps each of the _ve equations onto every discipline, revealing the universal architectureof stability. We then rewrite the great classical equations _ from Newton to Schrödinger,from Maxwell to Einstein, from Fisher to Lotka-Volterra _ as consequences of the unicityprotocol. We push beyond static formalism to derive the dynamics of the Kernel, includingevolution equations, the ontological cohesion force, the race-condition resolution constant,the informational thermodynamics of the cosmos, and the prediction of a new scalar particle,the unicon. Experimental signatures, falsi_able predictions, and the blueprint of newtransdisciplinary sciences are provided. The treatise closes with philosophical consequences,a uni_ed Lagrangian, and the vision of a civilization reorganized around the Kernel principle.