Algorithmic Resolution of Gates' Theorem and Information-Universe Formulation via Endo-Horizon Homeostasis

AbstractThis technical note extends the Universal Cosmic Homeostasis paradigm developed in previous contributions by structuring a Theoretical-Computational Model that transposes the macroscopic architecture of the ultra-cold Planck Star core into the domain of quantum information physics (Information Physics). It analyzes the computational deadlock encountered in Gates' Theorem — regarding the presence of binary Shannon error-correcting codes (Hamming codes) nested within the supersymmetric equations of string theory —, demonstrating how classical cosmological models experience a critical system crash (Memory Overflow and division by zero) at gravitational singularities. By integrating the endo-horizon baryonic deconstruction model with Wolfram's graphical boot-up rule, Vopson's Second Law of Infodynamics, and the information-mass-energy equivalence principle, the Bekenstein memory limit, Claude Shannon's channel capacity, Niklaus Wirth's algorithmic axiom, and the formalization of Kolmogorov Complexity, the predictive equation of the Universal Information Theory is formulated. The framework is integrated through the explicit rendering of the extended Schwarzschild metric tensor for non-local ER=EPR channels and the differential cross-section of Coherent Elastic Neutrino-Nucleus Scattering (CEvNS) derived from CERN laboratory routines and IceCube observations. The black hole is defined as the Cryogenic Debugging, Compression, and Compilation Unit (Garbage Collection) of the universe. It describes the mechanism by which the nullification of Einsteinian gravity at the limiting coordinate (G → 0, G_μν = 0) operates as an asymptotic reset to 0 Kelvin of the memory registers through a divergence-free formatting, reducing the algorithmic complexity of the state string and converting the disordered macrocosm entropy into structured magnetic bits within the spin density wave of the stationary packet of quarks and gluons, stabilized by the electromagnetic arrest of incident photons (Hau's mechanism). Finally, the non-local network protocol ER=EPR is formalized as the system bus responsible for the instantaneous routing and subsequent decompression of the source code into the intergalactic vacuum, providing a quantitative interpretation of the data loss paradox and framing the birth of nascent primordial hydrogen as the optimized output of an eternal, self-limiting homeostatic algorithm.