Validation Metrics

This document outlines the metrics used to validate simulations within the Resonance Substrate Model.

Quicklinks#

• docs README
• docs api integration examples
• docs api README
• docs api schema overview
• docs api using the schemas
• docs experiments faraday paradox experiment
• docs experiments README
• docs experiments replication checklist
• docs experiments resonance alignment tests
• docs experiments rotating conductor tests
• docs methods dimensional layers
• docs methods field equations
• docs methods operator definitions
• docs methods README
• docs methods substrate dynamics
• docs methods triadic fields
• docs onboarding model map
• docs onboarding reading guide
• docs onboarding triadic quickstart
• docs onboarding verification tests
• docs overview comparison to gr models
• docs overview glossary
• docs overview introduction
• docs overview README
• docs overview resonance primitives
• docs overview theoretical background
• docs simulations boundary conditions
• docs simulations numerical methods
• docs simulations README
• docs simulations solver_architecture
• docs simulations core README
• previous folder

1. Field-Level Metrics#

• L2 error norm — deviation from analytical or reference solutions
• Gradient consistency — smoothness and stability of field derivatives
• Energy conservation — tracking total system energy over time

2. Operator-Level Metrics#

• Diffusion stability index
• Alignment convergence rate
• Spin-field coherence score

3. System-Level Metrics#

• Resonance envelope activation accuracy
• Temporal stability under perturbation
• Cross-layer consistency checks

4. Benchmarking#

• comparison against known analytical solutions
• reproducibility across runs
• sensitivity to grid resolution and timestep