Dual-Twister Elemental Dynamics: A Unified Mechanical Framework for Celestial Rotation, Planetary Dynamos, Paleoclimatic Oscillations, and Flat Galactic Kinematics

Standard astrophysical and geophysical models treat planetary rotation, stellar mag-netic cycle inversions, Milankovitch climatic periodicities, and flat galactic rotation curvesthrough disparate theoretical paradigms, frequently requiring ad-hoc parameteriza-tions or unobserved mass components. In this work, we formulate the Dual-TwisterElemental Framework, an overarching mechanical theory that governs rotating celestialsystems via an elemental torque couple acting against constitutive drag. We demon-strate that the interaction between conducting, iron-bearing cores (rcmFe) and antipo-dal cosmic fields—a Left Pressure Twister (κP ΦL) linked to light elemental domains (Hy-drogen) and a Right Relaxation Twister (κRΦR) coupled to heavy volatile species (Car-bon, Nitrogen, Oxygen)—governs equilibrium angular velocities across forty orders ofmagnitude in mass. We derive exact solutions for the Sun’s 25.01-day equatorial ro-tation and its differential latitudinal profile, alongside a harmonic core-shell torsionaloscillator that predicts the 10.89-year solar magnetic flip and the 21.79-year Hale cycle.When extended to differentiated terrestrial bodies, a solid inner-core energy barrierconverts the linear oscillator into a bistable Duffing system, yielding Earth’s geomag-netic reversal window (363.5–768.0 kyr). Coupling rotational proximity drag to rectifiedinsolation E(t) resolves the 100,000-year Late Pleistocene glacial problem via an ele-mental fluid-to-solid phase transition. Finally, applying the framework continuouslyacross galactic discs naturally cancels radial dependencies, deriving flat orbital curves(v(r) = const) without non-baryonic dark matter.