SymC Geophysics: Stability Architecture in Fault Dynamics, Magmatic Systems, and Lithospheric Regulation

This repository contains the SymC research program applied to geophysics and planetary behavior. Here, the universal critical-damping boundary (χ = γ/2|ω|) defines the stability architecture of fault systems, magmatic transport, lithospheric stress accumulation, and planetary-scale homeostasis.

The SymC framework models geological processes as adaptive systems that oscillate between underdamped (instability, slip, eruption) and overdamped (rigidity, locking, stagnation) regimes. The χ-window that governs biological and quantum stability also constrains frictional interfaces, tectonic loading cycles, and crust–mantle relaxation processes.

Included Papers

• Planetary Physiology (v3): A unifying model of lithospheric homeostasis and failure geometry.
• SymC Seismic Dynamics: χ-governed state variables for fault slip, stick–slip onset, and rupture timing.
• Cross-domain infrastructure: Inheritance rules linking geological substrates to biological and cosmic systems.

Key Contributions

• A χ-based stability law governing seismic cycles and crustal relaxation
• A physical substrate model linking elastic, viscous, and plastic regimes
• Predictive architecture for slip onset, rupture nucleation, and magmatic ascent
• A unifying principle connecting geophysics to biological, economic, and cosmic adaptive systems

Purpose of the Repository

This repository organizes all SymC geophysical work into one accessible structure, enabling researchers to explore:

• seismic state variables
• frictional stability transitions
• lithospheric stress inheritance
• magmatic flow dynamics
• planetary-scale homeostatic regulation

All work is open-access, cross-referenced, and structured for reproducible theoretical development.