http://popups.lib.uliege.be/1373-5411/index.php?id=593 Publications of Auteurs Gilles Nibart fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=4726 There are some methods and codes which allow obtaining the size distribution of particles suspended in liquids by means of dynamic light scattering. The solution of the problem is reduced to the decomposition of a singly scattered light correlation function into the sum of exponential functions. The optical method of the sizing based not on single, but multiple scattering just elaborated is described. Correlation times obtained by the fiber probe allow us to obtain the averaged value of the particle size. But the problem is to obtain the size distribution from the correlation function of multiply scattered light. An example of result of analysis of correlation function of light multiply scattered by bimodal suspension is represented. Several questions have been asked to mathematicians as a conclusion. Mon, 14 Oct 2024 16:53:05 +0200 Mon, 14 Oct 2024 16:53:22 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4726 http://popups.lib.uliege.be/1373-5411/index.php?id=4704 In previous communications (Nibart & Dubois, 2006 ; 2008) we have enhanced quantum theory with the transversal distribution of plane waves associated to quanta, from a more general resolution of the differential wave equation which introduced a new quantum number : the Bessel order. In the communication (Nibart & Dubois, 2008) we have deduced several properties of the presence density of non-dimensionless particles and proposed some applications to Cosmology. In the present paper, we propose a solution to the dark matter problem, an explanation of the presence of antimatter in the Universe and we sketch a new concept of vacuum based on extremely high Bessel orders at the cosmological scale. Mon, 14 Oct 2024 16:39:42 +0200 Mon, 14 Oct 2024 16:39:51 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4704 http://popups.lib.uliege.be/1373-5411/index.php?id=3931 In this paper we discuss the several standard representations of Quantum Theory. The requirements of time order and operator self-adjointness are too much restrictive. To describe quantum correlations of N particles with a possible not causal order we propose a new formalism which include all conjugate quantities in the same configuration space where we define a "global state function" Ψ of 6N+1 scalar variables. The function Ψ is 3N-dimensional (non relativist Ψ) or 4N-dimensional (relativist Ψ) when spin variables are separable. Usual kinematic functions are computed as implicit functions, and new quantum operators are introduced. Tue, 01 Oct 2024 15:30:12 +0200 Thu, 10 Oct 2024 16:17:58 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3931 http://popups.lib.uliege.be/1373-5411/index.php?id=3091 This communication was an introduction lecture of our Symposium about Science of Consciousness. We show that a pertinent study of human consciousness should be a pluri-disciplinary approach through Biochemistry, Biology, Biosemiotics, Cybernetics and Artificial Intelligence (A.I.), Language and Logic, Nanochemistry, Neurochemistry, Physics, Psychology. We ask many questions from relevant perspectives to scientific researchers. Fri, 06 Sep 2024 16:09:19 +0200 Thu, 10 Oct 2024 16:17:38 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3091 http://popups.lib.uliege.be/1373-5411/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 http://popups.lib.uliege.be/1373-5411/index.php?id=2988 http://popups.lib.uliege.be/1373-5411/index.php?id=2983 For Donald C. Chang, the rest mass of a particle is related to a transversal distribution of the amplitude of its wave function. We have computed the transversal distributions of the density of presence of a particle from the amplitudes of its wave function, we have drawn their surface graphs. As a consequence of the wave nature of particles, transversal distibutions show a serie of maxima and minima which depend of a Bessel function Jn of order n. At the zero radius the density is a maximum for n=0 and it is a null minimum for n>0 which defines a hollow mass. For John E. Carroll, the rest mass of a particle should correspond to variations in a hidden transversal time of a 3+3 space-time. We have computed these variations and we have found that there is a photon correlation in the hidden time, and that the rest mass might correspond to oscillations for superluminal particles, but direct or inverse exponential variations for subluminal particles. Wed, 04 Sep 2024 08:52:09 +0200 Wed, 04 Sep 2024 08:52:32 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2983 http://popups.lib.uliege.be/1373-5411/index.php?id=2821 In our previous paper, plane waves of any free massive particle were described with a transversal distribution that is defined by a new quantum number, the Bessel order β, which shows the possibility of a hollow structure. The present paper will consider any free massive particle with spherical waves described by their radial distribution. The scale of different Bessel orders is defined and the properties and structure of the presence density are given. Then it is deduced that particles can have a hollow mass and can be made passive with an inefficient crosssection. Finally, an application to Cosmology is proposed and it is suggested that antimatter of extremely high Bessel orders, in galaxy bulge and in star nucleus, may be a solution to the three problems of galaxy stability, dark matter and antimatter in the Universe. Tue, 03 Sep 2024 14:57:30 +0200 Thu, 10 Oct 2024 16:20:20 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2821 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. 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 http://popups.lib.uliege.be/1373-5411/index.php?id=1523 In a previous communication [1], G. NIBART (2001) has proposed a general definition of infinite momentum frames (IMF) from a mathematical point of view which allows to consider IMF with any number of dimensions. In the present communication, we try to build a new concept of space time with IMF. For this purpose, we study some assumptions about infinite momentum frames having n dimensions (IMF-n) : a) usual referential frames can be deduced from IMF-n (with n ≥ 4), b) IMF basis vectors can be associated to spinors. We also illustrate some particular IMF-n instances with the following examples: definition of spinors in an IMF-2, expression in an IMF-2 of the longitudinal Doppler effect including the case of tachyons, and application of IMF-6 to the "6 dimensional universe" [2] which has been defined by G. NIBART (2000). Mon, 15 Jul 2024 10:43:48 +0200 Mon, 15 Jul 2024 10:43:58 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1523 http://popups.lib.uliege.be/1373-5411/index.php?id=1251 Infinite momentum frames (IMF) have been first introduced by J. Kogut and L. Susskind (1973) in the theory of partons. The concept of infinite momentum frames (IMF) have been developed by R. Dutheil (1984) on the basis of complex rotations group in a pseudo Euclidean space. In the present communication, we re-examine in section 2, the different definitions of IMF proposed by these authors : we criticize the not allowed renormalization of « divergent coordinates » done by J. Kogut and L. Susskind, we abstract the development by R. Dutheil of a two dimensional infinite momentum frame (IMF-2) from considerations on the subluminal and the superluminal Lorentz groups, we criticize the generalization to a four dimensional infinite momentum frame (IMF-4) proposed by R. Dutheil and G. Nibart. In section 3, we study the relativist transformations of two dimensional infinite momentum frames (IMF-2), which correspond to a subluminal Lorentz transformation or a superluminal Lorentz transformation. In section 4, we propose a new mathematical concept of IMF based on isotropic vectors and having any number of dimensions. In section 5, we re-examine the relativist quantum theory in IMF-2 developed by R. Dutheil, we propose a generalization of the Klein, Gordon and Fock equations in IMF-4, and we discuss the generalization by R. Dutheil of the Dirac equations to 4 dimensions. Wed, 10 Jul 2024 09:46:37 +0200 Mon, 07 Oct 2024 14:48:01 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1251