Real-World Test Configuration: High-Precision Zero Validation

This component defines a real-world numerical validation framework for the 001 Rigidity Program using empirically verified nontrivial zeros of the Riemann zeta function. Rather than attempting to test the truth of the Riemann Hypothesis directly, the objective is to confirm that the rigidity mechanism behaves consistently when applied to known analytic data. The configuration evaluates the two-scale residual of the xi-function potential field at high numerical precision, using established critical-line zeros as controlled reference points. By centering probes at verified zeros and introducing systematic horizontal displacements, the test isolates how scale-invariance behaves relative to the critical line while holding imaginary height fixed. Key verification goals include: • confirming symmetry compatibility with the functional equation, • ensuring numerical stability at large imaginary height, • validating that critical-line zeros remain admissible under the global rigidity budget, and • demonstrating that any hypothetical off-line displacement would generate a persistent multi-scale footprint exceeding allowable stability bounds. This configuration serves as a bridge between abstract mechanism development and physically meaningful numerical data. It reinforces the interpretation of the rigidity framework as a structural stability theory rather than an enumerative zero-counting approach, confirming that the proposed detection, weighting, and budget mechanisms remain coherent when applied to real zeta-function inputs. Together with the toy-model simulations, this validation establishes that the 001 rigidity architecture is compatible with known analytic behavior and that its exclusion principle arises from geometric structure rather than numerical artifact.