Algebraic Confinement and the Mass Gap:QCD as a Projection of Split-Quaternionic Geometry (Part VI)

This work, Algebraic Confinement and the Mass Gap: QCD as a Projection of Split-Quaternionic Geometry (Part VI), develops a geometric–algebraic framework in which Quantum Chromodynamics emerges as a projection of an underlying split-quaternionic structure. Building on the preceding parts of the series, this installment focuses on the nonperturbative phenomena of color confinement and the mass gap.The paper proposes that the algebraic signatures inherent to split-quaternionic geometry naturally encode confinement-like behavior and generate a non‑zero spectral gap without relying on conventional dynamical assumptions. By examining gauge fields, curvature, and representation theory within this extended algebraic setting, the work aims to clarify how QCD's infrared properties may arise from deeper geometric constraints.