发表机构
SGT University（SGT大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究极端相对论性物质支撑的托尔曼VI时空中的中微子振荡，解析计算相关相位振荡，区分引力与电弱效应，提出识别宇宙裸奇点的观测方法。
AI 中文摘要
尽管光子与极端相对论性等离子体中的中微子传播，以及弯曲时空中的中微子振荡均已得到广泛研究，但此前尚未有人考虑过自引力几何中这两者的结合。本文中，我们将研究由爱因斯坦方程自洽推导、极端相对论性物质支撑的静态球对称时空中的中微子振荡。利用该构型的测地线运动和几何对称性，我们将解析计算中微子的 eikonal（程函）和自旋光学相位振荡。接下来，我们将共振现象与中微子传播所处背景物质的物理解释关联起来，以区分引力效应与电弱效应。我们将考察纯引力场、纯物质场以及温度对中微子振荡的影响；解释为何我们的结果并非坐标假象，并通过与热场论方法预测的渐近行为对比，验证我们的启发式方法。我们将强调，若中微子遭遇曲率奇点，进入味转换概率的自旋光学相位偏移具有重要意义。理论上，我们将审视几何对称性与构型物理特征的各自作用；天体物理层面，我们将定性讨论恒星内部及宇宙微波背景中不同温度和密度条件下的中微子振荡。本研究在托尔曼VI度规的框架下，提出了一种用于识别宇宙中裸奇点的观测方法：中微子将同时处于味平衡态且量子力学上混杂。
英文摘要
While both neutrino propagation in photons and ultrarelativistic plasmas and neutrino oscillations in curved spacetimes have been studied extensively, their combination in a self-gravitating geometry appears not to have been considered previously. In this paper, we will investigate neutrino oscillations inside a static spherically symmetric spacetime, derived self-consistently from Einstein's equations, supported by ultrarelativistic matter. By relying on the geodesic motion and geometrical symmetries of the configuration, we will compute analytically the neutrino eikonal and spinoptics phase oscillations. Next, we will relate resonance phenomena to the physical interpretation of the background material inside which neutrinos travel for disentangling gravitational versus electroweak effects. We will inspect the effects of the pure gravitational and pure matter fields, and of the temperature in the neutrino oscillations; we will explain why our results are not coordinate artifacts, and we will certify our heuristic method by comparing with the asymptotic behaviours predicted by thermal field theory approaches. We will raise awareness on the relevance of the spinoptics phase shift entering the flavor conversion probability, should the neutrinos hit a curvature singularity. Theoretically, we will scrutinize the separate roles of geometrical symmetries versus physical features of the configuration, while astrophysically we will qualitatively discuss neutrino oscillations inside stars and in the Cosmic Microwave Background at different temperature and density conditions. Our research puts forward, in the context of the Tolman VI metric, an observational method for identifying naked singularities in our Universe: neutrinos would simultaneously be physically overlapped, in flavor-equilibrium and quantum-mechanically scrambled.
CommentsEPJC, in press
DOI：10.1140/epjc/s10052-026-16462-w
