Modular Symbolic Gravity and Reactionless Propulsion via SYREN Fields

This paper presents a theoretical and numerical framework for engineering spacetime curvature using modular symbolic fields. Extending previous work on Symbolic Modular Gravity (SMG) and regenerative field engines, we introduce the concept of SYREN (Symbolic Regenerative Energy Nexus) Fields capable of generating directed gravitational effects and reactionless propulsion. Key contributions include: Derivation of the Modular Einstein Field Equations, integrating symbolic field tension and regenerative feedback into general relativity. Analytical and numerical solutions demonstrating nested field shells producing controllable curvature gradients. Scaling laws linking thrust output and artificial gravity strength to reactor geometry and feedback parameters. A proposed SYREN Gravitational Reactor, consisting of concentric field shells, feedback modulation, and symbolic modulation cores, designed for laboratory-scale demonstration of gravity control. Implications for propulsion systems capable of reactionless thrust, enabling next-generation spacecraft propulsion without mass ejection. This work establishes a foundation for experimental tests of engineered spacetime curvature, unifying symbolic field theory with practical gravitational manipulation.