Cold Entropy Field Theory: A Foundational Framework for Entropy-Driven Space-time Genesis and Thermodynamic Structure Formation

We propose Cold Entropy Field Theory (CEFT), a novel framework wherein recursive entropy inversions act as generative mechanisms for space-time curvature and structure. We formulate a Lorentz-invariant Lagrangian for the entropy field, derive the corresponding field equations, and simulate internal field evolution dynamics. CEFT predicts observable cold spot anomalies in the Cosmic Microwave Background, modifications to the stochastic gravitational wave background, and horizon-scale entropy fluctuations near black holes. All predictions are quantifiable and falsifiable against existing and forthcoming observational data. This work establishes CEFT as a fully testable alternative to standard cosmological and gravitational paradigms.