The Unified Theory: Thermodynamic Constraints, Geometric Relaxation, and the Universal Falsification of Classical Symmetry

This manuscript presents a unified framework demonstrating that the classical assumption of a continuous, infinite-capacity spacetime vacuum violates fundamental thermodynamics. By modeling spacetime as a discrete structural network with a finite informational processing capacity, we establish that classical inverse-square symmetry becomes physically unsustainable under maximum load. According to Landauer's Principle, attempting to maintain symmetrical distribution beyond a strict capacity threshold triggers an unmitigated heat penalty, leading to destructive interference. To survive this thermodynamic overload, a localized metric must undergo a non-linear geometric phase transition, shedding deviation to permanently lock into an asymmetric survival state approximating the golden ratio. We computationally validate this geometric relaxation mechanism using a highly constrained topological network and subsequently apply it to empirical cosmological data. This framework demonstrates that the kinematic plateaus of galactic rotation curves, the accelerated structural maturity of early-universe galaxies, and the rapid ringdown stabilization of strong-field black hole mergers are not isolated anomalies requiring invisible mass or novel temporal dynamics. Rather, they are the predictable manifestations of structural thermodynamic gridlock. By anchoring gravitational phenomena to the strict capacity limits of informational geometry, standard ad-hoc corrections such as the dark matter halo are rendered physically redundant. AI Assistance Statement: AI systems were used in the preparation of this manuscript strictly as tools for drafting, editing, and structural organization. All scientific content, mathematical derivations, cosmological modeling, and final conceptual conclusions originate from and are solely the responsibility of the author. AI assistance was limited to linguistic refinement, formatting stability, and the mechanical assembly of text. Math Typesetting Statement: All mathematical expressions in the main body of this manuscript are presented using a dual-inline convention to ensure stability across software environments and archival formats. Each mathematical quantity appears first as a standard Unicode symbol in bold, provided solely for immediate visual readability. This is followed immediately by the archival text in LaTeX format, enclosed in brackets. The bracketed LaTeX represents the definitive, authoritative mathematical content for all purposes of citation, reproduction, and long-term preservation. No external MathType objects are utilized.