Neutrino spin oscillations in gravitational fields in noncommutative higher dimensions

Investigation of neutrino spin oscillation in the gravitational fields of black holes (BHs) is one of the interesting topics in neutrino physics. On the other hand, in recent years, many studies have been devoted to the exploration of different physical phenomena in higher dimensions. Noncommutative geometry has also been focus of researchers in recent years to explore the structure of space-time more deeply and accurately. In this work, the neutrino spin oscillation in the noncommutative higher-dimensional gravitational fields of Schwarzschild and Reissner–Nordström metrics is studied. The effects of noncommutativity of space are calculated and its role in different dimensions is discussed. Considering the fact that in the noncommutative space, for certain values of [Formula: see text], no event horizon exists and, consequently, there will be no BH, some upper bounds for the noncommutative parameter are obtained.