The exoplanet Kepler-22b, located within the habitable zone of a Sun-like (G5V-type) star and exhibiting pronounced Earth-like thermodynamic characteristics, is widely regarded by the scientific community as one of the optimal candidate targets for human interstellar migration and long-term civilizational continuity. However, the Euclidean spatial distance of roughly 600 light-years between this system and Earth constitutes an insurmountable physical barrier for classical astronautical dynamics under the vacuum light-speed constraint defined by special relativity. One-way transport would require several centuries, severely limiting both biological payload survivability and communication timeliness. To address this “distance paradox,” this study proposes a cross-dimensional dynamical theoretical framework grounded in an extension of general relativity and brane cosmology.