Luísa Neutrino dynamics in a non-commutative spacetime A. A. Araújo Filho, N. Heidari, Yuxuan Shi Hide abstract | Show figures | Show BibTeX | Show discussion | View PDF | 2504.04474v1 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. Authors' comments: 14 pages in two columns, 5 figures and 1 table