Cosmic Rotational Dependency: A Hypothesized Gravitomagnetic Driver for the Secular Stability of Earth's Axial Spin

We propose the Cosmic Rotational Dependency (CRD) hypothesis, which posits that Earth's axial rotation dynamics are significantly modulated against secular tidal dissipation through a gravitomagnetic torque arising from the Sun's alpha-Omega dynamo. The standard Lense-Thirring precession, driven by solar angular momentum J_⊙ = 1.90 × 10^41 kg m^2 s^{-1} [Iorio 2012], yields a torque τ_LT,std ≈ 1.97 × 10^14 N m. This is historically considered insufficient to counter the observed tidal torque τ_tide = -4.80 × 10^16 N m. We hypothesize an amplification via Einstein-Maxwell coupling in the solar interior's coherent magnetic fields (B_φ ∼ 10^4–10^5 G toroidal), parameterized by β = 540^{+85}{-70} (95% HDI). This mechanism yields a counter-torque capable of mitigating secular decay and inducing modulated residuals (Δ LOD ∼ 0.05 ms over 22-yr Hale cycles). Reproducible simulations demonstrate that CRD prevents runaway rotational deceleration over Gyr timescales. Bayesian model comparison yields log{10} K = 1.85 ± 0.12 favoring CRD. Falsification tests include absence of predicted LOD periodicity or β < 100 from LARES-2/LISA. Supported by GRMHD analogies [Khanna 1998, Tajmar 2006, Krolik 2005] and recent solar dynamo constraints [Vasil 2024], CRD offers a testable resolution to planetary rotational longevity.