Shell-Dependent Scaling and Crossing Behavior in a Table-Derived Residual Quantity

This work presents a reproducible, table-based analysis of residual structure in atomic-number–indexed data derived from the Kawahara–Gemini–GPT framework.By constructing a dimensionless quantity from table-defined components, we examine shell-dependent scaling behavior and identify a robust crossing with a reference scale near Z≈22.6Z \approx 22.6Z≈22.6. No microscopic model or new fundamental constant is assumed.The results are reported as empirical regularities emerging from the table structure and are intended as a compact reference for independent verification and further investigation.