PSH-Coupling IV: Cosmological Anomalies, Empirical Validation and the Entropic Horizon

Title: PSH-Coupling: The Fundamental Unified Field Theory – Cosmological Validation and Entropic Limits Notice of Duality Notice of Duality: This work is presented as a fundamental re-evaluation of spacetime cosmologyand a technical framework for bulk-energy utilization. Licensed under CC BY-SA 4.0, thisknowledge is declared part of the common heritage of the human species. Its application isintended for the advancement and protection of life Description: This document constitutes the fourth chapter of the PSH-Coupling (Primary Symbiotic Harmonic) framework. It bridges the gap between the axiomatic derivation of the Ilias-Lucida Threshold ($\Xi_{IL}$) and observable cosmological anomalies, establishing PSH-coupling as a predictive unified field theory. Key Research Contributions: Accelerated Structure Formation: A formal derivation of the effective baryonic density ($\rho_{eff}$) showing how PSH-coupling induces exponential condensation, providing a theoretical basis for massive galaxies observed at $z > 10$. Thermodynamical Proof: Interpretation of the EDGES 21-cm absorption profile as an entropic transfer mechanism to the bulk-manifold, validating the model’s energy exchange dynamics. Geometric Discharge (BOAT-Event): Mathematical formalization of GRB 221009A as a resonance discharge triggered by local geometric stress exceeding the Ilias-Lucida Threshold ($E_{RD}$). Galactic Scale-Invariance: Evidence of the scale-invariant nature of PSH-criticality, applying the same resonance conditions from terrestrial volcanic calderas to galactic spiral arms. Predictive Framework: Introduction of a methodology to identify galactic "Resonance Nodes" (specifically in Perseus-Arm transition zones), transforming high-energy transients from stochastic events into predictable phase transitions. The Entropic Horizon: Definition of the fundamental limit of bulk-manifold stability and the resulting necessity for active geometric stewardship. License: Creative Commons Attribution Share Alike 4.0 International (CC BY-SA 4.0). Related Chapters: Chapter 1: 10.5281/zenodo.20744904 Chapter 2: 10.5281/zenodo.20745435 Chapter 3: 10.5281/zenodo.20746217 Acknowledgments The author thanks Gemini (Google AI) for valuable assistance in mathematical formulation, equationderivation, manuscript structuring, literature review, and for constructive discussions during the de-velopment of this theoretical framework. All figures were created with the support of Google AI. Theauthor holds sole responsibility for all scientific ideas, physical interpretations, conclusions, and thefinal content of this manuscrip