The ODYSSEUS Survey. Spatial correlation of magnetospheric inclinations points to parsec-scale star-cloud connection

The properties of stars and planets are shaped by the initial conditions of their natal clouds. However, the spatial scales over which the initial conditions can exert a significant influence are not well constrained. We report the first evidence for parsec-scale spatial correlations of stellar magnetospheric inclinations ($i_{\rm mag}$), observed in the Lupus low-mass star forming region. Applying consensus clustering with a hierarchical density-based clustering algorithm, we demonstrate that the detected spatial dependencies are stable against perturbations by measurement uncertainties. The $i_{\rm mag}$ correlation scales are on the order of ~3 pc, which aligns with the typical scales of the Lupus molecular cloud filaments. Our results reveal a connection between large-scale forces -- in the form of expanding shells from the Upper Scorpius and Upper-Centaurus-Lupus regions -- and sub-au scale system configurations. We find that Lupus has a non-uniform $i_{\rm mag}$ distribution and suggest that this results from the preferential elongation of protostellar cores along filamentary axes. Non-uniformity would have significant implications for exoplanet occurrence rate calculations, so future work should explore the longevity of these biases driven by the star-cloud connection.