Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent $f(R)$ curvature sector

[2608.27485] Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent $f(R)$ curvature sector Skip to main content Search Submit Donate Log in Physics > General Physics arXiv:2608.27485 (physics) [Submitted on 25 Aug 2026 ( v1 ), last revised 11 Sep 2026 (this version, v2)] Title: Finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate with a derivative-consistent $f(R)$ curvature sector Authors: Murat Metehan Türkoğlu View PDF HTML (experimental) Abstract: We present a finite-domain inverse reconstruction of a Morris--Thorne-type wormhole candidate as a methodological benchmark for constrained numerical model building in modified gravity. The throat condition and local flare-out behaviour are embedded analytically in the shape-function parameterization, while the redshift profile is kept finite by construction. Rather than fitting $f(R)$, $f_R(R)$, and $f_{RR}(R)$ as independent numerical arrays, a positive analytic generator is assigned to $f_{RR}(R)$ and integrated to obtain a derivative-consistent reconstructed curvature sector. The frozen reconstruction is evaluated on 10,019 radial nodes over $r\in[1,10^{5}]$. The corresponding Ricci-scalar trajectory spans $-1.1317\times10^{-9}\leq R\leq1.999999998$ and is weakly non-monotonic, so no inversion $r=r(R)$ is required. On the same finite grid, the reconstructed source variables retain positive pointwise energy-condition margins, the coordinate-radial null-energy integrals are positive both globally and in the near-throat band, and the maximum normalized tidal-curvature ratio is $0.8666<1$. The reconstructed source-side closure diagnostic has a maximum absolute residual of $5.3246\times10^{-5}$. The source closure is phenomenological rather than derived from a unique microphysical matter Lagrangian or a uniquely specified curvature--matter coupling function. Accordingly, the result is not presented as a full field-equation solution of a specified nonminimally coupled $f(R)$ theory, a stability proof, an exterior-matched global spacetime, or an observer-dependent safe-traversal model. It instead provides a finite-domain computational benchmark for auditable inverse reconstruction of Morris--Thorne-type geometries in modified gravity. Comments: 23 pages, 6 figures, 2 tables; supplementary material included as ancillary PDF Subjects: General Physics (physics.gen-ph) MSC classes: 83D05 Cite as: arXiv:2608.27485 [physics.gen-ph] (or arXiv:2608.27485v2 [physics.gen-ph] for this version) https://doi.org/10.48550/arXiv.2608.27485 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Murat Metehan Turkoglu [ view email ] [v1] Tue, 25 Aug 2026 20:22:31 UTC (7,525 KB) [v2] Fri, 11 Sep 2026 04:39:21 UTC (7,521 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Ancillary-file links: Ancillary files ( details ) : Supplementary_Material.pdf Current browse context: physics.gen-ph < prev | next > new | recent | 2026-08 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. 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