CCEGA: Consistent Geometric Modelo (perturbation Analysis).

Technical Structure and Content The document provides a comprehensive mathematical proof of the theory's consistency through several key sections: Variational Formulation: Derives the full field equations from an action where the matter Lagrangian L₌ is coupled to an exponential factor e^- R^{2}. Stability Analysis: Ghost-Free: Confirms the kinetic term remains canonical, preventing ghost degrees of freedom. Tachyon-Free: Defines an effective mass m₄₅₅^2 = 2 Re^- R₀^{2}L₌ to ensure linear stability in FLRW spacetime. . Cosmological Perturbations: Analyzes structure growth in the Newtonian gauge and derives a modified Poisson equation with an effective gravitational coupling G₄₅₅. Observational Constraints: Gravitational Waves: Proves c₆ₖ = c, ensuring compatibility with GW170817. CMB & BBN: Validates the model against Planck 2018 data and Big Bang Nucleosynthesis limits. . Primary References Cited The author, López Sánchez, builds upon established physics including: López Sánchez, Marc (2026): The foundational CCEGA framework. Planck Collaboration (2020): Cosmological parameters for nₒ constraints. Abbott et al. (2017): Binary neutron star merger data (GW170817). Horndeski (1974): Stability of scalar-tensor field equations. Starobinsky (1980): Basis for f (R) gravity models.