https://popups.uliege.be/3041-539x/index.php?id=2989 Index terms fr 0 https://popups.uliege.be/3041-539x/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. Fri, 28 Jun 2024 12:11:02 +0200 Tue, 08 Oct 2024 13:32:07 +0200 https://popups.uliege.be/3041-539x/index.php?id=587 https://popups.uliege.be/3041-539x/index.php?id=2988 Starting from a requirement of space-time symmetry, we propose several concepts of additional time dimensions, we study the consequences of the introduction of a multi- dimensional time in the special theory of Relativity and in relativist quantum theory. We show that the mathematical process for generalizing the Dirac equation requires octonions and a 8 dimensional space-time with a privileged time direction. We also show that unlikely quantum correlations in pair of particles (as well as mechanical correlations in two coupled harmonic oscillators) imply a homogeneous 3-dimensional time due to the inseparability of space coordinates in the space continuum. We then propose to define a 3-dimensional time with quantum hidden variables and we suggest that the scalar energy conservation is a consequence of the general parallelism of time flow at the macroscopic level. Wed, 04 Sep 2024 09:11:22 +0200 Wed, 04 Sep 2024 09:11:40 +0200 https://popups.uliege.be/3041-539x/index.php?id=2988