On the Mass Neutrino Phase calculations along the geodesic line and the null line

Details On the Mass Neutrino Phase calculations along the geodesic line and the null line On the Mass Neutrino Phase calculations along the geodesic line and the null line

2000-04-14

arxiv.org/abs/gr-qc/0004047v2

Intl. J. of Mod. Phys. D12 (2003), No.4, 727-738

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 2 figures

Scientific paper

10.1142/S0218271803002640

On the mass neutrino phase calculations along both the particle geodesic line and the photon null line, there exists a double counting error--factor of 2 when comparing the geodesic phase with the null phase. For the mass neutrino propagation in the flat spacetime, we study the neutrino interference phase calculation in the Minkowski diagram and find that the double counting effect originates 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 the Minkowski diagram, and obtain the practical equivalence of these three descriptions. Further, in the curved spacetime, we also prove the existence of the double counting of the geodesic phase to the null phase.

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