http://popups.lib.uliege.be/1373-5411/index.php?id=2377 In previous papers, we have developed several considerations about the extension of the relativist quantum theory to the domain of superluminal velocities. In the present work, we propose a way to extend the relativist quantum theory to the framework of the general theory of Relativity. Obviously any use of a three dimensional space (plus the time dimension) requires a geometry, but in usual quantum theories the space geometry is always Euclidean. The generalization of a discrete space derivative equation from 1 to 3 dimensions with the usual space operators (gradient, curl, Laplacian) contains the implicit hypothesis of a Euclidean space. Thus we can explicitly propose the hypothesis of the Riemann's geometry which leads to a generalization of quantum theory to the framework of the general theory of Relativity. Full text issues Volume 16 Theoretical Physics, Quantum Mechanics and Relativ... fr Fri, 02 Aug 2024 11:38:16 +0200 Fri, 02 Aug 2024 11:43:54 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2377 0