Individual skill
conservation-law-discovery
Discover conserved quantities and symmetries from trajectory data. Identifies energy, momentum, angular momentum, and custom invariants using neural networks and symbolic methods. Inspired by Noether's theorem.
backend/cli/skills/physics/conservation-law-discovery/SKILL.md
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# Conservation Law Discovery
## Overview
Discover conserved quantities from trajectory data without knowing the governing equations. Uses numerical methods to find functions I(x) such that dI/dt = 0 along trajectories.
## When to Use
- You have trajectory data and want to find conserved quantities
- Verifying energy/momentum conservation in simulation output
- Discovering hidden symmetries in dynamical systems
- Identifying integrals of motion for Hamiltonian systems
## Core Workflows