Symbolic Mobius Resonance: Collapse and Recovery in KN-Modulated Modular Fields

This paper presents a symbolic field case study demonstrating collapse and recovery dynamics within a KN-stabilized modular system. By injecting symbolic sequences into a Möbius-inverted symbolic space, we observe the emergence of semi-stable attractors, symbolic entropy production, and regenerative repair. The symbolic drift function χ(t)\chi(t)χ(t) tracks coherence loss and restoration, acting as a thermodynamic signal of field stability. Key contributions include: Identification of symbolic Möbius attractors under KN modulation Thermodynamic interpretation of symbolic drift χ(t)\chi(t)χ(t) Collapse–repair cycle using specific symbolic injectors Resonant parallels to Monstrous Moonshine and modular string theory This work advances Symbolic Modular Field Theory (SMFT) by formalizing symbolic thermodynamics and modular cognition through KN-based feedback. It also lays the foundation for future experimental validation and simulation across cognitive, quantum, and AI domains.