OTSOW: A Reproducible Audit Framework for Wormhole Stability: Background Regularization, Hamilton–Jacobi Renormalization, High-Landau-Level Completion, and a Radial EFT Prototype

Abstract

OTSOW (Obidowski Theory for the Stability of Open Wormholes) is a methodological programme for evaluating stability claims concerning two-ended wormhole backgrounds. The study combines two explicitly separated computational testbeds. The first examines a constrained two-scalar wormhole reconstruction in which a background-inconsistent radial constraint is replaced by a regular proper-distance scalar. The background equations, local constraint structure, and necessary scalar and axial spectral conditions are then tested directly. The second testbed considers an asymptotically anti-de Sitter Einstein–Maxwell–Dirac perturbation problem. It includes Hamilton–Jacobi counterterms, a common ten-source perturbation basis, Ward-identity and Hermiticity tests, Pauli–Villars regularization, shell-resolved high-Landau-level sums, and argument-principle searches in the complex-frequency plane. At the fixed regulator scale ΛR₀ = 20, the tested odd ℓ = 2 determinant passes the declared high-Landau-level tail and contour-resolution conditions on the investigated domain. However, regulator independence is not established, and the even-sector Pauli–Villars lapse tadpole fails the tested radial continuum limit. The work also presents the OTSOW v0.3 preferred-foliation radial effective-field-theory prototype. In finite Gaussian Galerkin spaces, an additional slope-field operator removes the sampled ε² collapse of the reduced kinetic floor. Sampled small-data nonlinear evolutions remain within the declared numerical conditions up to T = 10R₀. These results do not constitute a complete proof of wormhole stability. Full constraint reduction, regulator- and scheme-independent renormalization, continuum and domain convergence, complete 3+1-dimensional perturbation coverage, nonlinear multipole coupling, and a covariant completion of the radial prototype remain open requirements. The deposited materials include the article, supplementary numerical data in CSV and JSON formats, a script for regenerating the figures, and documentation of the figure-validation procedure.