Grassmann-Clifford Geometric Algebras from a Universal Null Substrate

This paper introduces the Quadratic Space of Null Vectors (QSNV) as a foundational hybrid Grassmann-Clifford geometric algebra structure, offering great computational advantages by replacing matrix operations with an index arithmetic. At the core is a Zero Residue Factorization (ZRF), defining the geometric stability of the algebra. The famous Valley of Stability in nuclear physics closely mirrors the algebraic structure of the QSNV. This work provides the necessary algebraic prerequisites for deriving the Standard Model, a geometric alternative to the traditional Hilbert space formulation of quantum mechanics. An Appendix speculates that QSNV is a natural language to investigate that spacetime geometry is just a physical manifestation of triangular inequalities of quantum information on emergent null cones.