Neutrino Oscillation in a Minimal Length Spacetime

We investigate how neutrino oscillations are modified in a non‐commutative spacetime characterized by a minimal length scale, described by the Quesne–Tkachuk algebra. By incorporating the algebra's deformation parameter into the effective neutrino mass, we derive the two‐flavor oscillation probability in this non‐commutative setting. The resulting probability depends not only on the usual mass‐squared difference but also on a fourth‐order mass difference scaled by . A comparison between the standard and non‐commutative oscillation probabilities reveals a beat pattern arising from the additional non‐commutative phase, which induces a small shift in the oscillation profiles. Finally, we extend our analysis to include the effects of a magnetic field on neutrino propagation in an extreme astrophysical environment.