http://popups.lib.uliege.be/1373-5411/index.php?id=2823 Index terms fr 0 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=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=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