https://popups.uliege.be/3041-539x/index.php?id=2815 Index terms fr 0 https://popups.uliege.be/3041-539x/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 https://popups.uliege.be/3041-539x/index.php?id=4673 https://popups.uliege.be/3041-539x/index.php?id=2814 The macroscopic correlations effect appears as a correlation in any dissipative processes without the local carriers of interaction. In fluctuating processes there are both retarded and advanced correlations. The possibility of long-term forecasting of the random component of solar and geomagnetic activity on these advanced correlations has been investigated. The forecasting algorithm, employing advanced correlations, is suggested. Its efficiency has been proved on data of the long-term experiments in regime of the real forecast imitation with advancement up to four months. The accuracy of the obtained solar and geomagnetic forecasts is acceptable for all the practical purposes. Tue, 03 Sep 2024 14:56:50 +0200 Thu, 10 Oct 2024 10:40:41 +0200 https://popups.uliege.be/3041-539x/index.php?id=2814 https://popups.uliege.be/3041-539x/index.php?id=3867 Algorithmic topology is the spanning of an algorithm on a topological structure. The common calculus with paper and pen shows that all the recursive functions can be spanned on Euclidean planes. It is known that two topological structures are identical if and only if cut-pasting operations don't need to transform one in the other. Dubois' third stage (identification of incursive algorithm last row and column respectively with its first row and column) gives to incursive algorithms a spanning only on a torus that can be transformed in Euclidean plane only by cut-pasting operations. Thus incursive algorithms couldn't reduce to recursive algorithms and Church's hypothesis couldn't be true. Now, observe the affinity between topologic cut-pasting operations, Dubois' third stage and quantum entanglement. This last one can be considered either two "entanglements" in incursive algorithms or a cut-pasting operation on Euclidean plane on which such an algorithm is spanned to transform such a plane in torus. Is quantum entanglement simply the inadequacy of algorithms that can be spanned only on Euclidean plains to represent quantum mechanics? The same question could have value for some complex biological systems. Mon, 30 Sep 2024 14:20:43 +0200 Tue, 08 Oct 2024 14:43:38 +0200 https://popups.uliege.be/3041-539x/index.php?id=3867 https://popups.uliege.be/3041-539x/index.php?id=851 This paper is written from an energy stance on the ground that energy is the universal substrate of the dynamical universe. The first part is about the dynamical structure of natural systems, whose origins are traced to their evolutionary character. A distinction is made between the ways in which energy is transformed in the process of cosmic evolution and the ways it is distributed in local contexts. The second part is given to philosophical considerations of some of the points raised in the first part. Mon, 01 Jul 2024 14:02:13 +0200 Mon, 07 Oct 2024 13:13:28 +0200 https://popups.uliege.be/3041-539x/index.php?id=851 https://popups.uliege.be/3041-539x/index.php?id=3901 We suggest a new method of quantum causal analysis. The causality is defined without invoking the time relation. It clarifies Cramer principle of weak causality, which admits time reversal in the entangled states and directly leads to the anticipation. The quantitative quantum measure of causality is the pseudoscalar velocity of irreversible information flow called the course of time. The smaller course of time modulus, the stronger causal connection. The causal parameters for the examples of three-qubit entangled states have been computed. The results have been compared with the degrees of mixedness and entanglement of the states. In the simplest cases the formal measure of quantum causality does not contradict its intuitive understanding. But even in slightly more complicated situations intuition may be a failure. Tue, 01 Oct 2024 11:52:46 +0200 Tue, 01 Oct 2024 11:52:54 +0200 https://popups.uliege.be/3041-539x/index.php?id=3901 https://popups.uliege.be/3041-539x/index.php?id=3168 Already in early times of quantum theory, its possible role within biology was discussed. In recent years, significant progress has been made with experiments on entanglement. It was found (among other results) that the conditions for entanglement to arise can be loosened, its observation becomes easier and more accurate, and its chances to persist under adverse conditions gradually improve. Particularly it was detected that entanglement can occur and persist under higher temperatures than supposed before. Wed, 11 Sep 2024 16:24:56 +0200 Wed, 11 Sep 2024 16:25:07 +0200 https://popups.uliege.be/3041-539x/index.php?id=3168