Adaptive Constraint Cascade (ACC)_Case Study ACC_2.1: Three Illustrative Examples

We extend the Adaptive Constraint Cascade (ACC) framework for gravity, introduced in ACC\_2, to three physical examples: (1) the precession of Mercury's perihelion, (2) the deflection of light by the Sun, and (3) gravitational time dilation. In each case, the ACC\_2 framework equation – a two-parameter deformed constraint algebra with parameters $\beta = v/c$ and $\varepsilon = GM/(c^2 r)$ – is applied. We show how the same mathematical structure smoothly interpolates between Newtonian (NM), special relativistic (SR), and general relativistic (GR) predictions, demonstrating the universality of the ACC approach across gravitational phenomena.