gpd-limiting-cases

Verify physics results against known limiting cases and generate verification reports.

Updated Mar 18, 2026
One-click install
npx skills add https://github.com/MichaelsEngineering/sentinel-multiscale-field-dynamics --skill gpd-limiting-cases-michaelsengineering
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: gpd-limiting-cases
Source: https://github.com/MichaelsEngineering/sentinel-multiscale-field-dynamics/tree/main/.agents/skills/gpd-limiting-cases
Command: npx skills add https://github.com/MichaelsEngineering/sentinel-multiscale-field-dynamics --skill gpd-limiting-cases-michaelsengineering

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve? New theoretical physics results must reduce to known results in appropriate limits, but checking limits ad hoc misses cases and leaves errors undetected. This Skill systematically enumerates every applicable limiting case for a result and verifies each one analytically or numerically. ## Core Features & Use Cases - Systematic limit enumeration: Organizes candidate limits by domain (universal, thermodynamic, quantum, field theory, condensed matter, gravitational, geometric) and selects those applicable to each result. - Analytical and numerical verification: Takes limits analytically where possible, or runs convergence checks with decreasing parameter values, then classifies outcomes as exact match, numerical match, discrepancy, or divergent. - Failure diagnosis and reporting: Characterizes discrepancies (wrong factor, sign, or functional form), localizes errors to derivation steps, and writes a LIMITING-CASES.md report committed through the GPD CLI. - Use Case: After deriving a new partition function in phase 3 of a research project, run the Skill against that phase to confirm the free-theory, high-temperature, and thermodynamic limits all recover textbook expressions before proceeding. ## Quick Start Ask the assistant to check all limiting cases for the results in phase 3 of the current physics project.

Frequently Asked Questions about gpd-limiting-cases

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify limiting cases of a physics derivation?▼

Provide a phase number or file path as the target. The Skill enumerates applicable limits by physics domain, verifies each analytically or numerically, and writes a LIMITING-CASES.md report classifying every check as match, discrepancy, or divergent.

What limiting cases should every physics result satisfy?▼

Universal checks include the free-theory limit (coupling to zero), classical limit (hbar to zero), static limit, and single-particle limit. Domain-specific tables add thermodynamic, quantum, field theory, condensed matter, gravitational, and geometric limits.

Can limiting cases be checked numerically instead of analytically?▼

Yes. When analytical limits are intractable, the Skill evaluates the result and the known limiting expression across decreasing parameter values, confirming the ratio approaches one and relative error approaches zero.

What happens when a limiting case check fails?▼

Failures are characterized by discrepancy type (constant factor, wrong sign, wrong functional form, or divergence) and localized to the derivation step where the limit first breaks. The report suggests likely causes and next debugging steps.

Does the Skill handle singular or non-commuting limits?▼

Yes. It includes protocols for non-commuting limits, distributional limits verified through moments, Stokes phenomena in asymptotic expansions, and thermodynamic-limit subtleties such as finite-size rounding near phase transitions.