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On the mass neutrino phase calculations along both the particle geodesic lineand the photon null line, there exists a double counting error--factor of 2when comparing the geodesic phase with the null phase. For the mass neutrinopropagation in the flat spacetime, we study the neutrino interference phasecalculation in the Minkowski diagram and find that the double counting effectoriginates from despising the velocity difference between two mass neutrinos.Moreover, we compare the phase calculations among the same energy description,the same momentum description and same velocity description by means of theMinkowski diagram, and obtain the practical equivalence of these threedescriptions. Further, in the curved spacetime, we also prove the existence ofthe double counting of the geodesic phase to the null phase.Comment: 6 pages, 2 figure

ON THE MASS NEUTRINO PHASE ALONG THE GEODESIC LINE AND THE NULL LINE IN CURVED AND FLAT SPACETIME