gpd-dimensional-analysis

Name: gpd-dimensional-analysis
Availability: InStock
Author: CharlieGreenman

Audit equations for dimensional consistency and generate anomaly reports.

1|Updated Mar 29, 2026

Search Tags:#verification #report #equations #derivations #units #dimensional-analysis

Ready to run

npx skills add https://github.com/CharlieGreenman/roomtemp-superconductor-gpd --skill gpd-dimensional-analysis

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: gpd-dimensional-analysis
Source: https://github.com/CharlieGreenman/roomtemp-superconductor-gpd/tree/main/.agents/skills/gpd-dimensional-analysis
Command: npx skills add https://github.com/CharlieGreenman/roomtemp-superconductor-gpd --skill gpd-dimensional-analysis

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill performs rigorous dimensional analysis across all equations in a derivation to catch dimensional inconsistencies early and ensure physical coherence.

Core Features & Use Cases

Tracks units through multi-step derivations and checks consistency term-by-term.
Verifies dimensionless arguments for transcendental functions, proper integration measures, and delta-function dimensionality.
Generates a DIMENSIONAL-ANALYSIS.md report highlighting anomalies and tracking dimensional changes through steps.

Quick Start

Run the dimensional-analysis workflow on the target phase or file to generate a comprehensive DIMENSIONAL-ANALYSIS.md report.

Frequently Asked Questions about gpd-dimensional-analysis

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

FAQPage Schema

How do I check dimensional consistency in physics equations?▼

To check dimensional consistency, you track units through every algebraic step of a derivation and verify that all terms match. This process flags dimensional anomalies term-by-term, ensuring physical coherence across multi-step equations.

What does a dimensional analysis audit verify in a derivation?▼

A dimensional analysis audit verifies that units remain consistent through all algebraic steps, checks dimensionless arguments for transcendental functions, validates integration measures, and confirms delta-function dimensionality across the entire derivation.

Can I track units through multi-step derivations and flag inconsistencies?▼

Yes, you can track units through multi-step derivations by checking consistency term-by-term. This approach systematically verifies dimensions across all equations and flags any dimensional anomalies encountered during the algebraic transformations.

How do I generate a dimensional analysis report for physics equations?▼

To generate a dimensional analysis report, run a dimensional check workflow on the target derivation file. This produces a comprehensive report highlighting anomalies and tracking dimensional changes through each step for reproducibility.

Does dimensional analysis catch errors in transcendental functions and integration measures?▼

Yes, dimensional analysis catches errors by verifying dimensionless arguments for transcendental functions, checking proper integration measures, and validating delta-function dimensionality. It systematically audits these constraints alongside standard unit tracking.

What are the limitations of automated dimensional analysis for derivations?▼

Automated dimensional analysis is limited to tracking units and flagging dimensional anomalies within the provided equations. It ensures physical coherence but cannot verify the mathematical correctness or physical validity of the underlying derivation steps themselves.