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.