发表机构
Universidade Federal da Paraíba; Universidade Federal de Campina Grande; Khazar University（帕拉伊巴联邦大学; 坎皮纳格兰德联邦大学; 哈扎尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究完整量子修正史瓦西几何中的三味中微子现象，推导偏转角、相位和味概率，发现湮灭功率增加39.3%并给出参数界限。
AI 中文摘要
我们研究了在有效完整量子修正的史瓦西几何中的三味中微子现象。我们推导了到第二后闵可夫斯基阶的弱偏转角，获得了沿径向和非径向轨迹的半经典相位，并通过包含放大率、费曼相位和波包重叠来构建双像味概率。交叉路径相位获得了对数完整量子贡献，并能保留绝对中微子质量尺度的信息。我们还通过路径可预测性、干涉可见性和I-并发度之间的平衡来表征味模式关联和轨迹-味纠缠。在有效中微子球外检查了中微子-反中微子湮灭，其中完整量子通过径向固有体积测度进入积分功率。对于太阳质量透镜和10 MeV中微子，数值结果显示振荡条纹发生位移，以及电子、μ子和τ子通道之间依赖于几何的重新分布。电子中微子轨迹-味并发度达到约0.23，熵接近0.10比特，同时在所选配置中对质量排序的敏感性较弱。相比之下，湮灭功率单调增加，相对于史瓦西时空（对于特定配置，即λ=2和M/Rν=1/3）增加了约39.3%。此外，在固定源参数和M/Rν=1/3下，假设相对于史瓦西的积分湮灭功率最大超额为10%，则得到条件界限a/(2M)≤0.2879和|λ|≤0.6358。
英文摘要
We investigate three flavor neutrino phenomena in an effective holonomy corrected Schwarzschild geometry. We derive the weak-deflection angle through second post-Minkowskian order, obtain the semiclassical phases along radial and nonradial trajectories, and formulate the two-image flavor probability by including magnifications, Fermat phases, and wave packet overlap. The cross path phase acquires a logarithmic holonomy contribution and can retain information about the absolute neutrino mass scale. We also characterize flavor mode correlations and trajectory-flavor entanglement through the balance among path predictability, interference visibility, and I-concurrence. Neutrino-antineutrino annihilation outside an effective neutrinosphere is examined, with holonomy entering the integrated power through the radial proper volume measure. For a solar mass lens and $10\,\mathrm{MeV}$ neutrinos, the numerical results show displaced oscillation fringes and a geometry dependent redistribution among the electron, muon, and tau channels. The electron-neutrino trajectory-flavor concurrence reaches approximately $0.23$, with an entropy near $0.10$ bit, while remaining weakly sensitive to the mass ordering in the selected configuration. By contrast, the annihilation power increases monotonically, reaching an increase of approximately $39.3\%$ relative to Schwarzschild spacetime (for a particular configuration, i.e., $λ=2$ and $M/R_ν=1/3$). Furthermore, at fixed source parameters and $M/R_ν=1/3$, an assumed maximum excess of $10\%$ in the integrated annihilation power relative to Schwarzschild yields the conditional bounds $a/(2M)\leq0.2879$ and $|λ|\leq0.6358$.
Comments20 pages in a two-column format and 13 figures. Comments and suggestions (regarding its content and references) are welcome
