http://popups.lib.uliege.be/1373-5411/index.php?id=586 Publications of Auteurs Michel Bounias fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=2408 This article is devoted to the ecological problems of our planet and the relationships between Life, Humanity and Earth. The three parts of the present appeal successively deal with the following parts of the tragedy: (i) the technological and economical aspects; (ii) the social and philosophical implications; (iii) the moral and spiritual messages. A new way of thinking about identification of correct behavior and management that would allow the living community to evolve towards a optimum future is sketched and the whole of the scientific community is invited to contribute out of conflicts of interest to fill the appeal with the wisdom that Science should be able to bestow to humanity, in conjunction with Arts and Philosophy whose contribution is emphasized. Tue, 20 Aug 2024 10:14:16 +0200 Thu, 10 Oct 2024 16:51:17 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2408 http://popups.lib.uliege.be/1373-5411/index.php?id=2322 Major principles of mathematical constitution of space and the principles of construction of physical space are presented. The existence of a Boolean lattice with fractal properties originating from nonwellfounded properties of the empty set is demonstrated. Space-time emerges as an ordered sequence of mappings of closed 3-D Poincaré sections of a topological 4-space-time provided by the lattice of primary empty cells. The fractal kernel stands for a particle and the reduction of its volume is compensated by morphic changes of a finite number of surrounding cells. Quanta of distances and quanta of fractality are demonstrated. Deformation attributes associated to mass determine the inert mass and the gravitational effects, but fractal deformations of cells are responsible for such characteristics as spin and charge. Wed, 31 Jul 2024 15:22:40 +0200 Wed, 31 Jul 2024 15:22:56 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2322 http://popups.lib.uliege.be/1373-5411/index.php?id=1743 Mental imaging is associated with brain receptor-mediated perception of both external (sensory) and internal (interoceptive and proprioceptive) signals. The accumulation of mental images from early developmental stages provides a reference bank for further adjustment of organism functioning, i.e. homeostasy. Noxious stimuli alter the morphisms connecting neural signals and associated mental images : closed normative feedback control loops are opened into paths, continuity is broken to disease and electroencephalogram(EEG) is correlatively modified. The NeuroBioFeedback (NBF) medical technology corrects mental images through voluntary training of the brain to restore its normal activity upon anticipatory adjustment to a EEG-piloted farther corrective goal. Duration of treatments appears as a function of rehabilitation rates. Tue, 16 Jul 2024 14:58:35 +0200 Tue, 16 Jul 2024 14:58:48 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1743 http://popups.lib.uliege.be/1373-5411/index.php?id=1629 A rule determining sequences of conservative Poincaré sections of a topological space in which Life is embedded is proposed. A hamiltonian of living organisms and ecosystems should include: (i) kinetic components as the manifold of metabolic interactions, activity and anticipatory behavior leading to homeostatic and evolutionary adaptatinq (ii) potential components as the selection of expressed characters from DNA existing structures, and the construction of new genomic components by evolutionary processes. Both are connected to the set of environmental forces, and a distribution of hamiltonians of interacting organisms is proposed. Corollaries derive the conditions of occurence of evolution and identify boundaries to biological engineering within the Planet and the solar system as conservative embedding systems Mon, 15 Jul 2024 16:06:32 +0200 Mon, 07 Oct 2024 15:51:13 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1629 http://popups.lib.uliege.be/1373-5411/index.php?id=1433 Hilbert's conjecture that the whole of mathematics could be provided by a finite set of axioms (Hilbert, publ. 1980) was challenged in branches of mathematics, devoted to arithmetics and algorithmic computation, by Gödel (1931), Church (1936), Turing (1937), and Chaitin (1998). This questioned what can be expected from scientific knowledge, in particular through the mesh of mathematical certainty, in the assessment of what could be considered true about our universe, that is also on ourselves via self-evaluation possibility. This study will thus revisit some current problems about the conditions required for allowing a measure of "something" likeky unknown, situated "somewhere", in terms of distances and dimensions. The debate will then focus on the scope of mathematical knowledge, with special regards to indecidability, incompleteness, and the fate of such mathematical realites claimed to escape the field of mathematics, like for Chaitin's 'omega number'. The formal involvement of anticipatory processes in finding solutons through biological self-evaluaton will be analyzed in several steps. Fri, 12 Jul 2024 14:08:03 +0200 Thu, 10 Oct 2024 09:52:04 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1433 http://popups.lib.uliege.be/1373-5411/index.php?id=584 The theorem stating that "the conditions for existence of a physical universe including conscious perception are provided by the empty set", is based on a sequence of proved lemmas. The space composed of the empty set (as constitutive member), and the set theory and general topology (as logical reasoning system), provides existence to connected topological n-spaces. Then, an observable universe can exist as a sequence of intersections (shown to be Poincaré sections) of such topological spaces owning nonequal dimensions. The Jordan-Veblen theorem states that pathes connecting the respective interiors of two closed spaces own nonempty intersections with their frontiers. Mappings of -members from one into another section provide order relations in the sequences of Sections, thus generating a physical arrow of time. Any two sections are connected by a momentum-type structure. Provided the Jordan's points of one closed space are the preimage-of a sequence of mappings, since the interior of such spaces is compact and connected, sequences converge to fixed points which account for mental images. The set of-fixedpoints. of such a closed also contains: (i) a Brouwer's type fixed points accounting for self-identitication of the closed ; (ii) a fractal component. The whole provides the corresponding closed with characteristics of a conscious self, with fractalaided retrieval of stored information, that is non-localized memory. This completes the proof. Consequently, also the Planetary-ecosystem, whose components arc living and nonliving structures involved in a set of functions, owns the structure of a mathematical space demonstrably provided with topologies and shown to be compact, complete, and connected, except if discontinuities are artificially provoked. The Weierstrass theorem states that it can reach its supremum, with maximization of richness and complementarity in the distribution of species and habitat, while the Bolzano theorem requires continuity to be fulfilled for this evolution. Finally, the Heine-Borel-Lebesgue property of compact spaces needs that mutualism is fullilled as a necessary ecological rule. Finally: (i).Life is -supported by converging sequences of closed topologies fulfilling- mathematical conditions. The corresponding mappings own at least a surjective step on the way to fixed points of neuronal chainings, but not in the reciprocal direction: therefore, these sequences are not symmetric since the fixed points would not be the same in both directions. This provides the biological arrow of time with the property of irreversibility, with respect to the conscious self ; (ii) The mathematical conditions for functionality of biological beings and of their ecosystems may appear as a purely conceptual "driving pulse" which has sometimes been interpreted in terms of a project or a "vitalistic" force, but which is more clearly accounting for an anticipatory process. Fri, 28 Jun 2024 11:41:17 +0200 Tue, 08 Oct 2024 14:58:55 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=584