http://popups.lib.uliege.be/1373-5411/index.php?id=1787 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=2810 In the wave-particle duality, a free particle can be considered as a wave packet. Is there a wave property that corresponds to the rest mass of the particle? We suggest that this problem can be approached by treating the rest mass on the same footing as energy and momentum. Here we demonstrate that, by assuming that the matter wave of a particle is an excitation of a real physical field in the vacuum, one could derive the mass-energy relation from the solution of a simplified wave equation describing a free particle. This solution suggests that the rest mass of a particle is associated with a "transverse wave number", which characterizes the radial variation of the wave function in the transverse plane. This model has several appealing features. For example, it predicts that a massless particle must travel at the constant speed of light. Tue, 03 Sep 2024 14:56:05 +0200 Thu, 10 Oct 2024 09:55:30 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2810 http://popups.lib.uliege.be/1373-5411/index.php?id=761 A special theory of Relativity in the space-like region has been developed by R. Dutheil and A. Rachman (1,2,3,4) with the tensor formalism and using Tachyonic Referential Frames (TR-F). Now two different theories of Relativity built on two different metrics, define two different Lorentz groups which respectively transform two types of referential frames: Ordinary Referential Frames (ORF) for one theory, Tachyonic Referential Frames (TRF) for the other. The both theories of Relativity may describe the same event in the physical space: so they need to be unified. In some previous papers R. Dutheil and G. Nibart have shown that particles having a superluminal velocity, named tachyons [5,6] may exist [7] and do not violate the Causality Principle [8], and according to our reinterpretation principle, the Tachyon Bradyon Identity Principle (TBI Principle) [7] they will always be perceived by any natural observer, using Ordinary Referential Frames (ORF), as being antiparticles having a subluminal velocity. ln the present communication we attempt a unification of the time-like region theory and the space-like region theory into a six-dimensional manifold, where the Lorentz transformations are generalized. Here, the light barrier appears as a mathematical singularity that can be removed by a pure algebraical method which eliminates time coordinates (time and energy) from both four-dimensional theories. ln this new model, time (the function t) is not a coordinate, but it is an "observable" and by definition, it is not reversible. The equation of Klein, Gordon, and Fock can be written in a six dimensional manifold. The Dirac equation can also be written in a six dimensional manifold where it has more conveniently no negative energy solutions. Furthermore, a pair of particles - here a tachyon (i.e. an antiparticle) and a bradyon#can be considered as one unique event in a timeless six-dimensional space. As its wave function may propagate in two different physical ways, we think this new conception of a particle pair will soon break up the E.P.R. paradox. Mon, 01 Jul 2024 11:20:20 +0200 Mon, 07 Oct 2024 14:03:50 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=761 http://popups.lib.uliege.be/1373-5411/index.php?id=1784 According to the standard interpretation of the special theory of relativity, space and time form a unity, which is described by the so-called Minkowski geometry. Using a distinction between inside and outside views, an alternative interpretation of special relativity can be formulated. This interpretation is connected to the construction of an outside view of space-time, which is described by a 4-dimensional and fully Euclidean geometry. The construction of an outside view also for general relativity is attempted, the basis for which lies in the assumption that the speed of light in a gravitational field - as seen from the outside - depends on gravitational potential and on direction. Finally, it is argued that the suggested outside view might serve as a basis for new approaches in the philosophy of space and time. Tue, 16 Jul 2024 15:41:55 +0200 Tue, 16 Jul 2024 15:42:07 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1784