System and Method for Continuum Digitization Using Yu-Liang Coordinates (Patent Application v1.8)

Patent application for a novel continuum digitization system using Yu-Liang Coordinates ($R_{YL}$). Key innovations:- 2n-dimensional binary vector mapping (multiplier-free, differentiator-free)- Space-time inversion paradigm: fixed step, measure time- Spin Reference Frame for acceleration detection via integer subtraction- Zero-Switching Gating (ZSG) for physical-level power efficiency- Adaptive grid resolution via $2^k$ bit-shifting- Deterministic error bound ≤ 0.5 grid units Applications: GPU physics simulation, AI accelerators, robotics, IMU/sensors, ADAS, UAV flight control. [Notice: Patent Pending]