Guleryuz Cosmology: A Unified Mathematical Framework for State Space Expansion with \Delta BIC = +15 Evidence Against \LambdaCDM

GULERYUZ COSMOLOGY: A Unified Theoretical Framework for Emergent Time and Phase Dynamics This comprehensive research series introduces Güleryüz Cosmology, a novel theoretical architecture that reframes the fundamental nature of spacetime, matter, and cosmic evolution. By replacing the static Minkowski time coordinate with a dynamic, energy-based KULL dimension (kappa), this work resolves long-standing structural problems in modern physics, including the arrow of time and the Wheeler-DeWitt "problem of time." Key Highlights of the 4-Paper Series: Paper I: Establishes the KULL Metric and derives the speed of light (c = l_P / t_P) as a structural constant rather than a postulate. Paper II: Proposes KULL Density Phase Theory, unifying photons, matter, plasma, and black holes as distinct density phases (rho-kappa) of a single field. Paper III: Confronts the theory with observational data, demonstrating a Delta BIC = +15 statistical improvement over the standard Lambda-CDM model using DESI DR2 datasets. Paper IV: Provides a rigorous epistemological framework and a peer-review defense against the limitations of Minkowski spacetime. Scientific Impact: The theory derives E=mc^2 from the Dimensional Hierarchy Law and provides falsifiable predictions for upcoming Euclid (2027) and CMB-S4 (2030) missions. It maintains full consistency with Lorentz-invariance bounds while offering a unitary resolution to the Black Hole Information Paradox.