Optical Geometric Multi-State Computing Units (O-GLUs): A New Computational Paradigm

We introduce Optical Geometric Logic Units (O-GLUs), a new computational paradigm that encodes information directly in the geometric degrees of freedom of light—phase (S¹), polarization (Poincaré sphere S²), and spatial modes—rather than binary states. Each O-GLU cell stores a point on a geometric manifold and partitions it into K logical regions, achieving an information density of log₂(K) bits per physical cell. O-GLUs offer three major advantages: (1) significantly higher information density than binary cells, (2) natural representation of angles, orientations, and periodic signals without quantization or conversion overhead, and (3) light-speed propagation and transformation. We present a complete…