http://popups.lib.uliege.be/1373-5411/index.php?id=587 A computational derivation of the Klein-Gordon quantum relativist equation and the Schrôdinger quantum equation with forward and backward space-time shifts was developed in Dubois (1999, 2000). The forward-backward space λ and time t shifts are related to a phase velocity u = λ/t. The ratio v/u, where v is a group velocity, is related to the mass of paticles: for v < u, particles have a real mass and for v = u, there is no mass, as for photons. In this paper, it is shown that this formalism gives rise to a quantum interpretation of the mass in relation with plane waves. Moreover there is a third case for mass of particle: when for v > u, particles have an imaginary mass, as for tachyons. From these considerations, we look at the possibility to develop a dual relativity including these three types of mass. Full text issues Volume 5 Relativist and Non-linear Physical Systems fr Fri, 28 Jun 2024 12:11:02 +0200 Tue, 08 Oct 2024 13:32:07 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=587 0