http://popups.lib.uliege.be/1373-5411/index.php?id=758 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=4673 The different concepts of "space" are contrasted which have been developed in mathematics and in physics. Early proposals of extra dimensions are briefly reviewed. The main thesis claims that in physics not the dimension number of the underlying space is essential ; rather, there are strong reasons to use vector spaces over the field of complex numbers, not strictly excluding other structures. Reasons for this come both from mathematical rigour and from human cognition. Applications to physics concern nonlocal processes, conditions for quantum entanglement, and a proposal of hidden organizing structures. An experimental test for nonlocal hidden structures is proposed. Mon, 14 Oct 2024 16:08:01 +0200 Mon, 14 Oct 2024 16:08:07 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4673 http://popups.lib.uliege.be/1373-5411/index.php?id=4546 The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the Church-Turing hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Category theory provides the necessary coordinate-free mathematical language which is both constructive and non-local to subsume the various interpretations of quantum theory in one pullback/pushout Dolittle diagram. This diagrame can be used to test and classify physical devices and proposed algorithms for weak or strong anticipation. Quantum Information Science is more than a merger of Church-Tirring and quantum theories. It has constructively to bridge the non-local chasm between the weak anticipation of mathematics and the strong anticipation of physics , Mon, 14 Oct 2024 10:51:06 +0200 Mon, 14 Oct 2024 12:59:33 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4546 http://popups.lib.uliege.be/1373-5411/index.php?id=4540 The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the Church-Turing hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Category theory provides the necessary coordinate-free mathematical language which is both constructive and non-local to subsume the various interpretations of quantum theory in one pullback/pushout Dolittle diagram. This diagrame can be used to test and classify physical devices and proposed algorithms for weak or strong anticipation. Quantum Information Science is more than a merger of Church-Tirring and quantum theories. It has constructively to bridge the non-local chasm between the weak anticipation of mathematics and the strong anticipation of physics , Mon, 14 Oct 2024 10:47:39 +0200 Mon, 14 Oct 2024 12:58:47 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4540 http://popups.lib.uliege.be/1373-5411/index.php?id=2996 Macroscopic nonlocality represents itself in correlation of different dissipative processes without any local carriers of interaction and with Bell-type inequality violation. Nonlocal correlation obeys weak causality principle. It involves the possibility of advanced transaction between the random dissipative processes. Wide series of long-term experiments on observation of correlation of insulated lab probe-processes with the large-scale source-processes have been performed. For the natural random source-processes: the solar, meteorological and geomagnetic activity the advanced reaction was reliable detected. Moreover advanced correlation proved to be stronger than retarded one. Due to high level of advanced correlation forecasting applications have a sense. This possibility was demonstrated by the forecast of the random component of geomagnetic activity. Wed, 04 Sep 2024 11:17:51 +0200 Thu, 10 Oct 2024 10:41:15 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2996 http://popups.lib.uliege.be/1373-5411/index.php?id=755 The mathematical models for different hierarchical levels of transport processes are discussed. The model equations with memory effects accounting are proposed. Such equations are hyperbolic modifications of the Burgers equation and the Navies- Stokes system. Also the new systems of ordinary differential equations are proposed for investigation memory effects influence on chaos. Some numerical examples of chaotical behaviour in such systems are included. Mon, 01 Jul 2024 10:44:16 +0200 Tue, 08 Oct 2024 14:47:48 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=755 http://popups.lib.uliege.be/1373-5411/index.php?id=3756 We develop a formalism for the Schrôdinger equation in an eight dimensional complex Minkowski space and discuss its relation to the Dirac equation, properties of nonlocality, remote connectedness, Young's double slit experiment, Bell's Theorem, the EPR paradox and anticipatory parameters of spacetime; and also identify an imaginary temporal component as a small nonlinear term and find soliton or solitary wave solutions. These coherent solutions can carry information over long distances, are consistent with Lorentz invariance and appear to provide a fundamental methodology for describing the issue of quantum measurement and a new context for the basis of quantum theory. In the Copenhagen view models of reality are not desirable. However our new approach may enable the redefinition of concepts of reality from a new nonlocal anticipatory quantum theory. Certainly the most desirable consequence of scientific discovery is the ability to redefine our concepts of reality. Thu, 26 Sep 2024 15:14:25 +0200 Tue, 08 Oct 2024 14:19:27 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3756 http://popups.lib.uliege.be/1373-5411/index.php?id=124 As the subject of anticipation claims its legitimate place in current scientific and technological inquiry, researchers from various disciplines (e.g.. computation, artificial intelligence, biology, logic. art theory) make headway in a territory of unusual aspects of knowledge and epistemology. Under the heading anticipation, we encounter subjects such as preventive caching, robotics, advanced research in biology (defining the living) and medicine (especially genetically transmitted disease), along with fascinating studies in art (music. in particular). These make up a broad variety of fundamental and applied research focused on a controversial concept. Inspired by none other than Einstein – he referred to spooky actions at distance, i.e., what became known as quantum nonlocality – the title of the paper is meant to submit my hypothesis that such processes are related to quantum non-locality. The second goal of this paper is to offer a cognitive framework – based on my early work on mind processes (1988) – within which the variety of anticipatory horizons invoked today finds a grounding that is both scientifically relevant and epistemologically coherent. The third goal of this paper is to identify the broad conceptual categories under which we can identify progress made so far and possible directions to follow. The fourth and final goal is to submit a co-relation view of anticipation and to integrate the inclusive recursion in a logic of relations that handles co-relations. Tue, 18 Jun 2024 15:41:53 +0200 Tue, 08 Oct 2024 14:11:24 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=124 http://popups.lib.uliege.be/1373-5411/index.php?id=3397 Systems theory allows formulating general principles of systems behavior which can be applied to all kinds of systems irrespective of the specific nature of their components. In this paper we postulate that non-local correlations and complementarity of observables can be understood as properties intrinsic to all kinds of systems. Their occurence depends on a number of systems theoretical parameters, most importantly the degree of closure of the system. We show in an exemplary way that this systems theoretical perspective could help elucidate observations in quantum mechanical systems (such as entanglement) as well as in other systems (such as psychic phenomena, phenomena in altemative medicine, the 'hard problem' of consciousness and evolution). This paper aims to inspire further thinking and research along these potentially fruitful lines. Wed, 18 Sep 2024 08:54:01 +0200 Tue, 08 Oct 2024 14:10:15 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3397 http://popups.lib.uliege.be/1373-5411/index.php?id=3667 This paper shows that non-locality property occurs in simple diffusion neural equation: space local incursive discrete equation system transforms to a space non-local recursive equation system. The cable equation used for modelling the potential in neural membrane is similar to the Schrödinger quantum equation with a complex diffusion coefficient. Thu, 26 Sep 2024 10:33:13 +0200 Tue, 08 Oct 2024 14:09:32 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3667 http://popups.lib.uliege.be/1373-5411/index.php?id=3910 While nonlocality has been considered by some to be a problem for quantum physics, it is, in fact, an essential component of understanding how local interactions actually operate. Locality and nonlocality are fundamental components of a dual system in which each determines the behaviour of the other. The exact characteristics of the different local interactions (weak, strong and electric) can be shown to be completely determined by the nonlocal vacuum structures with which they are associated. At the same time, gravity provides a nonlocal dual to the combined interactions, which has inertia as its local manifestation. A completely integrated description of local interactions and nonlocal vacuum structures is proposed, based on nilpotent quantum mechanics and its unique algebraic structure. Tue, 01 Oct 2024 14:21:27 +0200 Tue, 01 Oct 2024 14:21:35 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3910