发表机构
Nakhon Si Thammarat Rajabhat University; Walailak University; Chulalongkorn University; Fukushima University（那空沙旺皇家大学; 瓦拉柴大学; 朱拉隆功大学; 福岛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在广义相对论中构建了含二阶GUP高阶修正的卡西米尔支撑可穿越虫洞解，发现修正减少奇异物质需求，并产生可区分不同GUP模型的引力透镜与回波特征，且修正强度强烈依赖喉部尺度。
AI 中文摘要
我们研究了在二阶广义不确定性原理（GUP）修正下，由卡西米尔真空能支撑的可穿越虫洞。针对两个具有代表性的GUP模型，我们推导了卡西米尔能量的高阶修正，并在广义相对论中构建了精确的虫洞解。所得几何满足喉部、外展和渐近平坦条件。高阶修正改变了虫洞质量，并减少了所需奇异物质的数量，尽管在喉部附近零能量条件和弱能量条件仍被违反。我们进一步分析了弱引力透镜和引力波回波，发现了可能区分不同GUP实现的模型依赖特征。通过将解中使用的无量纲参数与常规唯象GUP参数相关联，我们表明其物理解释强烈依赖于喉部半径。当前大多数实验界限倾向于在接近普朗克尺度的喉部上存在可观的GUP修正，而宏观喉部通常需要弱得多的修正。这些结果为将GUP修正的卡西米尔虫洞与实验室约束和天体物理观测进行对比提供了一个框架。
英文摘要
We investigate traversable wormholes supported by Casimir vacuum energy with second-order generalized uncertainty principle (GUP) corrections. For two representative GUP models, we derive higher-order corrections to the Casimir energy and construct exact wormhole solutions in general relativity. The resulting geometries satisfy the throat, flare-out, and asymptotic-flatness conditions. Higher-order corrections modify the wormhole mass and reduce the exotic matter required, although the null and weak energy conditions remain violated near the throat. We further analyze weak gravitational lensing and gravitational-wave echoes, finding model-dependent signatures that may distinguish different GUP realizations. By relating the dimensionless parameter used in the solutions to the conventional phenomenological GUP parameter, we show that its physical interpretation depends strongly on the throat radius. Most current experimental bounds favor near-Planckian throats for appreciable GUP corrections, while macroscopic throats generally require much weaker corrections. These results provide a framework for confronting GUP-corrected Casimir wormholes with laboratory constraints and astrophysical observations.
Comments25 pages, 10 figures
