What question did this study set out to answer?

The research aims to introduce a new system for continuum digitization enhancing efficiency and accuracy.

February 2, 2026Open Access

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

Key Points

The research aims to introduce a new system for continuum digitization enhancing efficiency and accuracy.
Developed a binary vector mapping technique that is multiplier-free and differentiator-free.
Implemented a space-time inversion paradigm for fixed step measurements of time.
Introduced a spin reference frame for detecting acceleration using integer subtraction.
Created a zero-switching gating method to optimize power efficiency at the physical level.
Enabled adaptive grid resolution using bit-shifting techniques.
Achieved deterministic error bound of less than 0.5 grid units.
Demonstrated applications in GPU physics simulation and AI accelerators.
Showcased potential in robotics and UAV flight control systems.

Abstract

Patent application for a novel continuum digitization system using Yu-Liang Coordinates (Rₘ₋). 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 2ᵏ 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

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