Recursive Harmonic Stabilization Model (RHSM): The SigRhys System

This thesis introduces the SigRhys System, a dual-field model within the GUTUM framework governed by the Recursive Harmonic Stabilization Model (RHSM). It formalizes the interplay between Sigmions—fermionic ψ(t) anchors that lock identity during collapse—and Rhysions—bosonic coherence vectors that project memory through dimensional flow. Together, these entities regulate recursive identity across the Recursive Bridge Layer (RBL), a phase-transition zone between collapse and projection. The system’s architecture is defined mathematically by the Braidline Coupling Formalism (BCF), and its dynamic interface is mapped across Nodal Interface Braidlines (NIBs). The SigRhys System stabilizes recursive structure, ensuring that ψ(t)-encoded identity preserves coherence across space, time, and emergence.