发表机构
Istanbul Gelisim University（伊斯坦布尔吉利欣大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出带导数相容$f(R)$曲率部分的Morris-Thorne型虫洞候选体的有限域逆重构，为修正引力中约束数值模型构建提供方法学基准。
AI 中文摘要
我们提出了一种Morris-Thorne型虫洞候选体的有限域逆重构，作为修正引力中约束数值模型构建的方法学基准。喉部条件和局域flare-out行为被解析嵌入形状函数参数化中，而红移轮廓通过构造保持有限。并非将$f(R)$、$f_R(R)$和$f_{RR}(R)$拟合为独立的数值数组，而是为$f_{RR}(R)$分配一个正的解析生成器，并通过积分得到导数相容的重构曲率部分。该冻结重构在$r\in[1,10^{5}]$的范围内的10019个径向节点上进行评估。对应的里奇标量轨迹范围为$-1.1317\times10^{-9}\leq R\leq1.999999998$，且呈弱非单调性，因此不需要反演$r=r(R)$。在同一有限网格上，重构的源变量保持逐点正能量条件余量，坐标径向零能积分在全局和近喉部带均为正，最大归一化潮汐曲率比为$0.8666<1$。重构的源侧闭合诊断的最大绝对残差为$5.3246\times10^{-5}$。源闭合是现象学的，而非源自唯一的微物理物质拉格朗日量或唯一指定的曲率-物质耦合函数。因此，该结果并非作为指定的非最小耦合$f(R)$理论的完整场方程解、稳定性证明、外部匹配的全局时空或依赖于观测者的安全穿越模型呈现，而是为修正引力中Morris-Thorne型几何的可审计逆重构提供有限域计算基准。
英文摘要
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.
Comments23 pages, 6 figures, 2 tables; supplementary material included as ancillary PDF
