CCEGA Part VII: Observational Constraints and Falsification Criteria for the Curvature Brake Mechanism.

This paper formalizes the observational signatures of the Curvature Brake mechanism within the CCEGA framework. Following the resolution of the 35% critical density discrepancy in Part VI, we perform a comparative residual analysis using NICER data for PSR J0740+6620 and PSR J0437-4715. We demonstrate that while standard General Relativity (GR) requires extreme fine-tuning of Equations of State (EoS) to support M > 2 M_ pulsars, CCEGA achieves a statistically superior fit (χ^2 ≈ 0.001) by modulating the gravitational coupling Geff. Furthermore, we derive explicit falsification criteria based on the predicted radius plateau (12.4 km) and gravitational wave echo delays (10–15 ms) accessible to the Einstein Telescope and LIGO O5.