We derive the Mandelstam-Tamm time-energy uncertainty relation for neutrino oscillations in a generic stationary curved spacetime. In particular, by resorting to Stodolsky covariant formula of the quantum mechanical phase, we estimate gravity effects on the neutrino energy uncertainty. Deviations from the standard Minkowski result are explicitly evaluated in Schwarzschild, Lense-Thirring and Rindler (uniformly accelerated) geometries. Finally, we discuss how spacetime could affect the characteristic neutrino oscillation length in connection with the recent view of flavor neutrinos as unstable particles.

中文翻译：

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弯曲时空中微子振荡的时间-能量不确定关系

我们推导出一般静止弯曲时空中中微子振荡的 Mandelstam-Tamm 时间-能量不确定关系。特别是，通过使用量子力学相位的 Stodolsky 协变公式，我们估计了引力对中微子能量不确定性的影响。与标准 Minkowski 结果的偏差在 Schwarzschild、Lense-Thirring 和 Rindler（均匀加速）几何中进行了明确评估。最后，我们结合最近将风味中微子视为不稳定粒子的观点，讨论时空如何影响特征中微子振荡长度。