Foundational Closure of Crowton's Cosmogenic Field Theory (CCFT): Consistency, Scope, and Testability

Foundational Closure of Crowton’s Cosmogenic Field Theory (CCFT):Consistency, Scope, and Testability Author: Richard Lee Crowton Affiliation: Independent Researcher, Founder of Regenerative Cosmology ORCID: 0009-0003-6399-8744 This paper serves as the formal foundational closure of Crowton’s Cosmogenic Field Theory (CCFT), an entropy–curvature–coupled cosmological framework formally introduced via Zenodo on May 6th 2025 (DOI: 10.5281/zenodo.15352974 ) Previous CCFT publications independently established: the mathematical structure and well-posedness of the Golden Tensor Field Equation (GTFE), physically admissible cosmological solutions across entropy–curvature regimes, and observational criteria by which CCFT may be distinguished from ΛCDM and alternative gravity models. The present work integrates these results into a single, unified theoretical object and evaluates whether CCFT satisfies standard criteria for foundational completeness. It formalizes the minimal axiomatic set of the theory, demonstrates axiomatic necessity and non-redundancy, establishes the exhaustiveness of the CCFT regime taxonomy, and confirms mathematical consistency and physical interpretability across regimes. Clear criteria for observational discriminability and falsifiability are articulated, including explicit failure modes. A structural comparison with alternative cosmological frameworks is provided at the level of foundational architecture rather than empirical outcome. The paper culminates in a formal declaration of foundational closure, identifying frozen core components and delineating the permissible scope of post-foundational research. No new physical mechanisms, parameters, or predictions are introduced. This work is intended as a capstone document that stabilizes the CCFT framework and enables future research to proceed through empirical testing, numerical simulation, and controlled extension without reopening foundational structure. KeywordsCrowton’s Cosmogenic Field Theory; CCFT; Regenerative Cosmology; Modified Gravity; Entropy–Curvature Coupling; Foundational Closure; Cosmology; Theoretical Physics ⭐ LICENSE Creative Commons Attribution 4.0 (CC BY 4.0) ⭐ FUNDING No external funding. Independent research.