This work introduces the theoretical framework of Severely Adaptive Emergent Curvature Cosmology (CCEGA). We propose a fundamental shift from General Relativity by treating spacetime as an emergent medium with intrinsic, adaptive rigidity. The central mechanism, the "Curvature Brake" (\mathcal{B}), is formalized through a non-linear modification of the field equations (Ro - \sqrt{2Rgo} = 8\pi GTo), providing a geometric ultraviolet regulator for quantum field theory. We present a quantitative derivation of the \Lambda attractor as a dynamic equilibrium point of the effective curvature potential, offering a first-principles solution to the cosmological constant problem. Furthermore, the model explains the stabilization of the Higgs mass hierarchy via exponential suppression of radiative corrections. For the Future Circular Collider (FCC-hh), CCEGA predicts a specific phenomenological signature: a 3–12% suppression of Higgs production and VBS cross-sections at the 100 TeV scale. 10.5281/zenodo.18466074