Deterministic Geometric Stabilization for Long-Horizon Autonomous Navigation via the Bouras Recursive Geometry Framework

This preprint presents the Bouras Recursive Geometry Framework, an exploratory computational geometry approach for deterministic recursive stabilization under finite-precision recursive evolution. The framework introduces conserved recursive shell dynamics, nonlinear synchronization structures, recursive manifold projection operators, and higher-dimensional geometric lifting mechanisms designed to suppress cumulative numerical drift in long-horizon autonomous systems. Potential applications include: - deep-space autonomous navigation, - GNSS-resilient positioning, - recursive trajectory estimation, - inertial navigation stabilization, - and long-duration spacecraft autonomy. The work is presented as an exploratory ESA-oriented concept note and early-stage computational framework (TRL 2–3), supported by preliminary numerical simulations and recursive geometric stability analyses.