http://popups.lib.uliege.be/1373-5411/index.php?id=2822 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=4527 Kant's theory of consciousness is related to quantum mechanics by his proof that the Democritos' atom is both indivisible and divisible like a photon in the two slits experiment. This paradox has been solved by Schroedinger's equation. It also leads to the conclusion that there is a collapse of the wave function in quantum mechanics. It follows from the existence of two stages, preattentional and attentional, is visual search that quantum mechanics applies also to visual perception, and the object integration is a collapse of the wave function. The integration of macroscopic objects involves the migration of features between objects. We are unaware of this due to an anticipatory selection mechanism of the perceived sensory input. This migration of features occurs also inside an atom, changing few atoms of matter into atoms of antimatter. Mon, 14 Oct 2024 10:06:18 +0200 Mon, 14 Oct 2024 12:55:56 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4527 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