Irreducible Torsion Sectors and Two-Layer Contracted α-Surface Linearity

Key Points

• This research aims to classify contracted torsionful alpha-surface linearity through irreducible Riemann-Cartan torsion sectors.
• Classification of torsion sectors based on representation and quadratic obstructions.
• Separation into vector-type, pure tensor, and mixed vector-tensor torsion.
• Analysis of linearity and nonlinearity in relations.
• Vector-type torsion is identified as forced-linear; pure tensor torsion shows native-display linearity in a secondary layer.
• Mixed vector-tensor torsion introduces the first nonlinear boundary in the analysis.