标题： 非对易时空中的中微子动力学 显示英文标题

标题： Neutrino dynamics in a non-commutative spacetime

摘要： 本文研究了非对易几何对弯曲时空中中微子行为各个方面的影响。 采用由非对易性引起的洛伦兹质量变形的施瓦茨希尔德类似黑洞解，我们分析了三个基本现象：中微子对湮灭的能量沉积率、中微子振荡中的引力诱导相位偏移以及在透镜条件下的相关跃迁概率。 我们的结果表明，非对易性显著改变了能量沉积轮廓并修改了振荡相位。 此外，这些修正也影响了味跃迁概率，尤其是在引力透镜现象下。 显示英文摘要

摘要： This paper investigates the influence of non-commutative geometry on various aspects of neutrino behavior in curved spacetime. Adopting a Schwarzschild-like black hole solution with Lorentzian mass deformation induced by non-commutativity, we analyze three fundamental phenomena: the energy deposition rate from neutrino pair annihilation, the gravitationally induced phase shift in neutrino oscillations, and the associated transition probabilities under lensing conditions. Our outcomes reveal that non-commutativity significantly alters the energy deposition profile and modifies oscillation phases. Furthermore, these corrections impact also the flavor transition probabilities, particularly under gravitational lensing phenomenon.