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Paper classifies contracted torsionful α-surface linearity, indicating new insights on nonlinear boundaries.
This paper classifies contracted torsionful ααα-surface linearity by irreducible Riemann-Cartan torsion sector. It separates representation-allowed, Esposito-selected, and expansion-recovered quadratic obstructions, showing that vector-type torsion is forced-linear, pure tensor torsion is native-display linear but recovered in the certified comparison layer, and mixed vector--tensor torsion gives the first selected nonlinear boundary.
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Hiroyuki Shioiri (2026) studied this question.
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