Year: 2026
Type: preprint
Abstract: 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.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7119534660
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