Irreducible Torsion Sectors and Contracted α-Surface Quadratic Residuals

Key Points

• This paper aims to classify contracted torsionful α-surface linearity by examining irreducible Riemann-Cartan torsion sectors.
• Classifying torsion sectors into representation-allowed, Esposito-selected, and expansion-recovered types.
• Analyzing the linearity of vector-type, pure tensor, and mixed vector-tensor torsion.
• Vector-type torsion is shown to be forced-linear.
• Pure tensor torsion is native-display linear, recovered in the certified comparison layer.
• Mixed vector-tensor torsion establishes the first selected nonlinear boundary.