Sourced Memory under Corners: Axial–Rotor Unification and the Determinant Law of the Coupled Twistor Reduction

Key Points

• This research aims to explore how axial torsion influences memory under specific geometric conditions.
• Extended the torsionful twistor reduction to include homogeneous rotating corners with varying axial torsion.
• Developed a general mathematical framework to prove the properties of the normal form of the generator.
• Derived formulas related to memory responses and established conditions for resonance-free behavior.
• Demonstrated that the time-axial component significantly influences the memory clock, while spatial torsion adjusts the rotor's behavior.
• Produced a comprehensive determinant law that articulates memory weights and corner imprints effectively.
• Showed the existence of a self-matching locus in the derived equations.