Analysis reveals effects of corner rotations on torsionful transport in Bianchi-I models, suggesting implications for geometric frameworks.
This paper analyzes how rotating principal axes affect torsionful transport on Bianchi‑I warps. A single‑axis corner rotation decomposes hyperbolically into a frame rotation and an induced shear, with no boost component, and the chiral time legs become traceless spin‑2 images of the angular velocity. Curvature grades obey a graded conjugate reflection law for arbitrary rotations, and in single‑axis families the fully symmetric grades remain torsion‑free. At the transport level, corner rotation removes the diagonal exceptional locus: the first‑derivative obstruction coefficients cannot vanish on any nondegenerate rotating epoch. In contrast, the homogeneous four‑divergence system retains an exact normal form, freezing the simultaneous‑frame symplectic pairing under a volume–axial‑torsion weight, while the remaining corner transport is unitary after removing the scalar factor. These results are algebraic and homogeneous; no common base ray, preserved lines, or sourced memory on rotating backgrounds is constructed.
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Hiroyuki Shioiri (2026) studied this question.
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