Chapter 2 — Version 4 Effective Horizon-Scale Field Dynamics - A Microscopic Foundation for Cosmological Coherence

Description DOI: 10.5281/zenodo.18135577 This chapter presents a fully revised and methodologically stabilized formulation of the microscopic dynamics governing black hole horizons, serving as the effective field-theoretic foundation underlying cosmological coherence evolution. Chapter 2 — Version 4 develops an explicit horizon-scale effective field framework describing transmutation processes near black hole event horizons through three coupled scalar fields: – coherent informational density x(x,t), – residual informational memory φ(x,t), – resonant recomposition amplitude w(x,t). The theory formalizes how accreted matter is dynamically processed at horizon scales, separating coherent fluxes (jets and organized outflows) from incoherent dissipation (thermal radiation), thereby providing the microscopic mechanism underlying the black hole purification term introduced in Chapter 1 — The Infinite Field (Version 2). The framework is constructed as an effective theory, explicitly stratified into: Level A: interpretative and ontological labels (used only as conceptual framing), Level B: operational field equations, thresholds, and diagnostics, Level C: falsifiable predictions and empirical acceptance criteria. This stratification ensures that all predictions remain empirically testable and independent of metaphysical commitments. The chapter integrates: generalized uncertainty principle (GUP) corrections near horizons, modified Raychaudhuri dynamics, spectral stability and microstate analysis, entropy, helicity, and flux diagnostics, explicit observational confrontation protocols (gravitational wave echoes, QPOs, EHT polarization, jet collimation), numerical reproducibility standards with fully specified validation tests. Replacement Notice This chapter replaces and supersedes the previous publication: Chapter 2 V3 — Theory of the Sentinel Wave: From Informational Potentiality to Quantum Mechanics and Cosmic Expansion DOI: https://zenodo.org/records/17834327 Rationale for Replacement The previous Chapter 2 V3 explored the Sentinel Wave concept in a broad, trans-theoretical context, combining ontological interpretation, phenomenological intuition, and early mathematical formulations. While conceptually generative, that version did not yet satisfy the strict methodological standards required for a standalone, falsifiable scientific chapter. Chapter 2 — Version 4 represents a decisive methodological consolidation: Ontological interpretations are explicitly isolated from operational dynamics. All core statements are placed within a reproducible effective field framework. Clear links with Chapter 1 are established through scale correspondence. Predictions are expressed in terms of measurable observables with explicit falsification criteria. Numerical and observational protocols are fully specified. This replacement reflects the maturation of the theory, not a correction of error. Version 4 should be regarded as the first scientifically stabilized formulation of horizon-scale transmutation dynamics within the Infinite Field framework. Positioning within the Global Theory This chapter provides the microscopic horizon-scale foundation for: cosmological coherence evolution (Chapter 1), black hole purification mechanisms, jet coherence and stabilization, information processing at gravitational boundaries. It is designed to be read independently while remaining fully consistent with the broader Infinite Field theoretical architecture.