QR and Householder Orthogonalization on Light-Cone Geometry

Abstract

We reinterpret QR and Householder orthogonalization through light-cone geometry, showing how null-aligned reflections encode causal structure. This framework links orthogonalization to spacetime direction hierarchies, revealing a geometric basis for null-origin alignment. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.