Magnetoadiabatic plasma confinement with a non-orientable boundary identification: a reduced-MHD hypothesis for topology-induced shear

Current-driven Z-pinch and dense-plasma-focus configurations are limited by rapidly growing sausage-, kink-, and interchange-like modes. This paper formulates a deliberately falsifiable reduced-magnetohydrodynamic hypothesis in which a Mobius-type boundary identification modifies the admissible perturbation spectrum and may provide a geometric source of flow and magnetic shear. The non-orientability is assigned to an effective two-dimensional identification rather than to the physical three-dimensional plasma volume, so all electromagnetic fields remain defined on an orientable tubular domain. Stability is not attributed to topology alone: it requires physically realized shear, magnetic tension, dissipation, and circuit coupling. Previously plotted factors of 350 in linear growth time, 2500 in yield scaling, and 14 in auxiliary-energy recovery are treated here only as design-point scenarios, because the available Python files prescribe these factors rather than derive them from a converged resistive-MHD calculation. The framework supplies governing diagnostics, dimensional checks, and a validation protocol for future simulation and experiment. This deposit includes the preprint with a technical reproducibility appendix, the LaTeX manuscript source, and supplementary geometry-generation and illustrative scenario scripts with mesh coordinates. The scripts are not a resistive-MHD solver and do not independently validate the design-point factors.