Finite-Domain f(R) Reconstruction Meets Energy Conditions for Morris-Thorne Wormhole Candidate

The study parameterizes the wormhole shape function to enforce the throat and flare-out conditions analytically, then integrates an assigned positive f_RR(R) generator to guarantee derivative consistency across the curvature sector. This avoids independent fitting of f(R), f_R, and f_RR arrays and yields a weakly non-monotonic Ricci trajectory that requires no r(R) inversion. The resulting source terms satisfy pointwise energy-condition margins on the finite grid, a result that holds both globally and in the near-throat band.

The reconstruction remains phenomenological: it supplies a computational benchmark rather than a complete field-equation solution of any specified non-minimally coupled theory or a matched global spacetime. Earlier analytic f(R) wormhole papers, such as those extending Morris-Thorne geometries with curvature-matter couplings, lacked this level of numerical closure diagnostics and finite-domain auditability. The present work therefore bridges the gap between formal existence proofs and constrained numerical model-building.

Future progress hinges on embedding the benchmark into a stability analysis or exterior vacuum matching. Without those steps, the positive energy margins cannot yet be translated into predictions for traversability or observational signatures. Extending the grid to dynamical perturbations or coupling the metric to a concrete matter Lagrangian would test whether the reported margins survive beyond the static, finite-domain setting.