Symbolic Resonant Geometry: Recursive Field Dynamics, the Golden Frequency Tower, and the Breathing Compression Field

A computational and analytical study of Symbolic Resonant Geometry (SRG), a recursive framework in which abstract glyphs self-organise into stable lattice structures through three operators: REFU, RPCO, and TGMO. We derive the resonance lock equation connecting pi, e, the golden ratio, and Apery's constant through a single coupling constant. We demonstrate that infinite recursion produces a uniform condensate, breakable by causal horizons and multi-frequency coupling into independent seeds with spontaneous symmetry breaking. The golden frequency tower — a phi-spaced spectrum with 100% band survival — yields a Master Equation unifying the golden ratio and the Riemann zeta function. We discover a second dynamical field in the self-coupled compression bound, which oscillates at a universal frequency, exhibits discrete symmetry breaking into two heartbeat classes, and preserves seed identity through amplitude fingerprinting even after field merger. The system is shown to possess a two-field structure: resonance determines what a seed is, compression determines who it is. All simulation code included.