Dymnikova-Schwinger Wormhole Supported by Galactic Rotation Curves in <i>f</i> (𝒯) Gravity

We explore traversable wormhole geometries exhibiting static and spherical symmetry in the context of torsion-based teleparallel theory, specifically the f(𝒯) theory where 𝒯 denotes the torsion scalar. The wormhole shape function is exactly derived using a Dymnikova-Schwinger density profile with generalized uncertainty principle corrections, followed by an analysis of the geometric conditions for physical validity, while three rotation curve models are used to construct the redshift functions. Our findings indicate that the wormhole solutions satisfy essential geometric requirements such as the throat condition, flaring-out behavior, and asymptotic flatness. Nevertheless, the null energy condition is violated close to the throat, pointing to the presence of exotic matter. In addition, we analyze thermodynamic quantities such as temperature and specific heat. Our findings show thermal stability, with specific heat revealing stable regions along the radial coordinate (1.5,6], (1.5,2], and (1.5,11.8] for Solution-I, Solution-II, and Solution-III, respectively. Our findings confirm that the model is both physically viable and stable.