LFIS–08: Rotation Geometry and the Torsional Cadence Correction (S23)

LFIS–08 introduces the rotational cadence axis TR and generalizes the two-mode Cadence Triangle into the full three-axis contract sphere TS² + TD² + TR² ≤ LFC². Rotation is treated as an orthogonal cadence deformation that consumes finite representational capacity and modifies the effective radial curvature budget. The volume derives the torsional cadence correction (S23), relating the effective acceleration scale to the rotational contribution through the quadratic closure form and its equivalent linear expression a_eff = a₀ + ω²R*. This provides the geometric torsion mechanism underlying LFCT’s treatment of rotation-curve flattening and radial acceleration behavior, while deferring full uniqueness proof, kernel hierarchy, and galaxy-scale fits to later LFIS volumes and companion papers. LFIS–08 supplies the rotational/torsional infrastructure used by the three-mode representability, generator, galaxy-dynamics, and cosmological applications of the Light Frame Infrastructure Series.