Symbolic Gravitational Lagrangian and Resonance-Based Curvature

This paper introduces a symbolic Lagrangian framework for modeling gravity as a resonance phenomenon within modular symbolic fields. Rather than treating gravity as geometric curvature of spacetime, Symbolic Modular Gravity (SMG) describes gravitational behavior as emerging from interactions between symbolic amplitude, dissonance, and feedback coherence. The formulation leverages a stabilizing constant [[K]], derived from fixed-point dynamics, and results in a symbolic action principle that governs attractor formation and field evolution. Simulations demonstrate that symbolic nodes self-organize into stable configurations, suggesting an alternative view of gravity as symbolic coherence flow. The work affirms prior SMG theory and establishes a foundation for extending symbolic dynamics into relativistic and quantum domains.