Twistorial Holography of Curvature-Invariant de Sitter Spin Currents

Curvature-Invariant de Sitter spin currents mediating between spaces of different constant curvature are assigned to special holographic twistorial/gyro angular density patterns on low-dimensional AdS/dS surfaces. The corresponding curvature-invariant geodetic impedance and matching condition for spin currents are given by a conformal Gudermannian mapping between surfaces of different constant curvatures by the AdS/CFT correspondence. The corresponding geodetic extra rotations and frequency/phase shifts leading to characteristic holographic memory precession patterns on the Poincaré disc are quantified in Euler angular dynamics and related to the functional equation of the Riemann zeta function.