gpd-limiting-cases

Verify limiting cases by enumerating universal, thermodynamic, quantum, condensed-matter, and geometric limits for your physics result, comparing against known expressions, and classifying outcomes as exact match, numerical match, correct order, discrepancy, divergent, or cannot check.

Limiting case analysis in theoretical physics is the process of checking a result or phase by evaluating it under extreme parameters, such as thermodynamic or quantum limits, ensuring the outcome matches expected known expressions and behaves correctly.

No external data or datasets are needed to check asymptotic limits. The verification relies entirely on enumerating limits, comparing results against known theoretical expressions, and classifying the outcomes without external dependencies.

Systematically document physics limit verification results by generating a formal LIMITING-CASES.md report. Provide the target result and limiting parameters, run the workflow, and it outputs a structured report classifying each limit's outcome.

You should check universal, thermodynamic, quantum, condensed-matter, and geometric limits for a physics result or phase. Enumerate these categories systematically to ensure correct limiting behavior across all relevant physical regimes.

Classify discrepancies when checking asymptotic behavior by comparing your derived result against known limiting expressions. Outcomes fall into categories: exact match, numerical match, correct order, discrepancy, divergent, or cannot check, enabling targeted troubleshooting.