Solver Architecture

This document describes the architecture of the simulation solver used in 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 validation metrics
• docs simulations core README
• previous folder

1. Overview#

The solver is structured as a modular pipeline that processes field states, applies operators, and advances the system through time.

2. Core Components#

• State Manager — stores scalar, vector, spin, and resonance fields
• Operator Engine — applies diffusion, decay, alignment, and coupling operators
• Time Integrator — advances fields using explicit or implicit schemes
• Boundary Handler — enforces boundary conditions
• Diagnostics Module — collects metrics and logs

3. Execution Flow#

1. Load initial state
2. Apply operators
3. Integrate in time
4. Enforce boundaries
5. Record diagnostics
6. Repeat until termination criteria are met

4. Extensibility#

• plugin-style operator modules
• configurable integration schemes
• multi-resolution grid support