SPARC-calibrated galactic wormholes in Einstein–Cartan gravity with Dekel–Zhao and Hernquist dark-matter halos

We construct static, spherically symmetric galactic wormholes in Einstein–Cartan gravity using dark-matter halo distributions calibrated from SPARC rotation curves. The Dekel–Zhao (DZ) and Hernquist profiles are fitted to NGC3198 and DDO154 through Bayesian posterior sampling. Hernquist is mildly favored for NGC3198, whereas DZ is preferred for DDO154. Joint posterior samples preserving parameter covariance are propagated into the Einstein–Cartan reconstruction, with both halo families used to assess model dependence. The throat radius is parameterized by q 0 = r 0 / R min S P A R C , while the matching radius is fixed at R max S P A R C . Imposing the smooth Levi–Civita metric-sector condition p r , e f f ( R m ) = 0 determines the Weyssenhoff throat-spin amplitude. Across 0.1 ≤ q 0 ≤ 1, all propagated realizations satisfy the adopted geometrical admissibility and positive-mass conditions. At q 0 = 0.5 , the material and effective radial null energy conditions are violated at the throat. The material WEC and SEC are recovered by the matching radius, whereas the material DEC and all effective WEC, SEC, and DEC remain violated. The exterior masses are approximately 1.75 × 10 11 M ⊙ for NGC3198 and 3.04 × 10 9 M ⊙ for DDO154. Changing the halo family modifies these masses by about 4.0% and 0.34%, respectively, without altering the qualitative throat or optical conclusions. The throat supports a radially unstable circular null orbit, with no additional photon sphere in the retained interior or Schwarzschild exterior. A near-throat expansion yields a logarithmic strong-deflection law with a ¯ t h ≃ 2 . These results constitute a SPARC-calibrated, model-conditioned Einstein–Cartan reconstruction rather than direct observational evidence for wormholes or microscopic spin.