Chapter 1 Version 2 — Theory of the Infinite Field - Effective Coherence Dynamics in Cosmic Structure Evolution

Chapter 1 Version 2 — Theory of the Infinite Field -Effective Coherence Dynamics in Cosmic Structure Evolution DOI : 10.5281/zenodo.18119511 Technical Version This document presents the stabilized technical formulation of the Infinite Field framework. It provides an operational, falsifiable, and reproducible description of an effective coherence dynamics governing cosmic structure evolution during the post-Planck expansion regime. The framework is explicitly structured into three distinct levels: (i) interpretative assumptions (Level A), (ii) effective dynamical laws and operational definitions (Level B), and (iii) falsifiable predictions and empirical acceptance criteria (Level C). No statement from the interpretative level is used to justify physical laws or predictions. A dimensionless coherence variable q(t; Vref) is introduced, together with a minimal dissipative evolution law coupling stellar formation activity and irreversible trapping by compact objects. The formalism is restricted to regimes where a deployed spacetime metric exists; pre-Planckian domains are explicitly excluded from the scope of the model. Quantitative predictions are derived, including a coherence threshold (Karabdak threshold), large-scale spatial correlation signatures, and long-term convergence toward an information-inert regime. Detailed observational protocols and statistical acceptance criteria are provided to ensure empirical testability. Earlier exploratory drafts have been deprecated in order to ensure conceptual clarity, strict separation between interpretation and effective dynamics, and full compliance with scientific standards of falsifiability and reproducibility. This version defines the reference technical framework for scientific use and citation.