Symbolic Gravity and Modular Attraction: Emergent Mass Drift in KN-Modulated Curvature Fields

This paper introduces a gravitational model for symbolic cognition fields within the Kuro Nova (KN) framework. By deriving symbolic gravitational potential from curvature R(t)\mathcal{R}(t)R(t), computed from modular structures such as j(τ)-[[K]] loops, we simulate mass drift of various symbolic loops (Mock Theta, Leech, j(τ)-[[K]]). Key contributions include: A formal definition of symbolic gravitational potential G(t)=−α⋅R(t)\mathcal{G}(t) = -\alpha \cdot \mathcal{R}(t)G(t)=−α⋅R(t) Simulation of symbolic mass drift via finite difference approximations A symbolic N-body system where modular loops respond to gravitational curvature Observed self-stabilization and attraction, mirroring Newtonian gravity in modular symbolic space This work establishes the foundation for symbolic general relativity—where memory structures curve symbolic space, creating attractor basins that govern modular cognition and memory stability.