SYREN Gravitational Reactor: Modular Symbolic Gravity, Directed Spacetime Curvature, and Reactionless Propulsion

This paper introduces the SYREN Gravitational Reactor, a revolutionary modular field technology designed to generate directed spacetime curvature and achieve reactionless propulsion. Extending Symbolic Modular Field Theory (SMFT), we derive a modified Einstein Field Equation incorporating a symbolic stress-energy tensor that alters spacetime geometry. Key contributions include: Derivation of the Modular Einstein Equations with symbolic field contributions. Analytical framework for artificial gravity generation and propellantless thrust. Numerical simulations producing curvature potential maps and demonstrating net reactionless thrust (~3.17×10−4 N3.17 \times 10^{-4}\,\mathrm{N}3.17×10−4N). A detailed prototype design featuring nested electromagnetic shells, a symbolic modulation core ([[K]][[K]][[K]]), and dynamic feedback control. A comprehensive roadmap for experimental validation, safety protocols, and future spacecraft applications. The findings suggest that symbolic regenerative fields can stably generate controllable gravitational gradients, opening pathways to artificial gravity habitats, advanced propulsion systems, and modular spacetime engineering.