CSF-CMT vΩ.21.2: Space Magnetohydrodynamics Laboratory (SMHDL) Protocol for Gravito-Magnetic Coupling Detection at 10^-20 Precision

The Coarse-Graining String Field – Cosmic Meta-Theory (CSF-CMT) predicts a gravito-magnetic (G–M) coupling α_GM^eff arising from the cross-correlation of gravitational and magnetic string-empowerment states in First Space. This document presents the Space Magnetohydrodynamics Laboratory (SMHDL) experimental protocol designed to detect or constrain this coupling at the target precision α_GM^eff ~ 10^-20 at laboratory coarse-graining scales L_c ~ 10^-6 m. The experimental platform utilizes a free-flyer satellite or International Space Station attachment operating under microgravity conditions (g < 10^-6 g_0). A superconducting solenoid generates a static magnetic field B_max ~ 10 T within a liquid-metal working medium (GaInSn eutectic alloy). Particle Image Velocimetry (PIV) and magnetometer probe arrays diagnose the magnetohydrodynamic response. The protocol proceeds through four phases: (I) baseline calibration under zero-field and pure-magnetic conditions; (II) differential coupling measurement comparing Newtonian second-law trajectories against CSF-CMT predicted deviations; (III) microscopic structure probing of the G–M interaction topology; (IV) parameter extraction for α_GM^eff, f_geom(Σ), and the world-sheet geometric factor. The predicted G–M force correction takes the form δF_G-M = α_GM^eff · (B^2/μ_0) · (GM/r^2 c^2) · r̂ · f_coupling(θ_GM), where θ_GM is the relative orientation angle between the magnetic axis and the local gravitational gradient. Under terrestrial conditions this signal is masked by gravity-gradient noise; the microgravity environment reduces competing accelerations by six orders of magnitude, rendering the 10^-20-level coupling accessible for the first time. The protocol is anchored to the vΩ.10.1 emergence equations through the explicit coupling constant α_GM^eff(L_c) = (l_string/L_c)^2 · f_geom(Σ) · exp[-(L_c/L_Planck)^2], with l_string ~ 10^-35 m. A null result at 10^-20 precision would constrain the string length l_string < 10^-33 m or falsify the G–M cross-term in the geometric emergence equation. A positive detection would provide the first direct evidence for First-Space string-state interference and validate the coarse-graining emergence paradigm.