Toroidal Signal Coherence Model (TSCM) A Theoretical Framework for Signal Stability, Resonant Information Flow and Multi-Dimensional Transmission in Spiral-Torus Fields

The Toroidal Signal Coherence Model (TSCM) introduces a hypothetical, system-theoretic description of how signals maintain stability, structure, and coherence as they propagate through a Spiral-Torus Field Architecture (STFA).
TSCM does not propose new physics; instead, it frames “signals” as structured pattern distributions Σ(x,t)\Sigma(x,t)Σ(x,t) evolving within a multi-dimensional state space.

Signal coherence in this model emerges from three interacting components:

1. Toroidal geometry, providing cyclic pathways and multi-layer resonance zones;

2. Dimensional activation (DCM), enabling signals to use non-spatial pattern axes;

3. Harmonic coupling (SHCM), allowing resonant stabilization between system components.

The model applies to theoretical signal-processing systems, radar architectures, biological communication processes, AI-pattern channels, and abstract information flow within multi-layer environments.