http://popups.lib.uliege.be/1373-5411/index.php?id=941 Publications of Auteurs Dieter Gernert 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=3677 The concept of information is not yet perfectly integrated into our modern science. As a tentative approach the concept of information space is proposed here. An information space consists of elementary semantically meaningful statements (or interpretable structures) together with specific relations between these elements. Relations can either be seen in analogy to the links known from hypertext systems, or they are defined by similarity relations between the elements. Both the elements and the relations can be modified in the course of time, and possible paths through such a space (navigation) are discussed together with their effects on the underlying structures. The mathematics of similarity relations and their context dependence are studied in some detail. The structures proposed here can be modeled on a standard PC; possible applications are sketched. Thu, 26 Sep 2024 10:42:40 +0200 Tue, 08 Oct 2024 14:46:16 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3677 http://popups.lib.uliege.be/1373-5411/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 http://popups.lib.uliege.be/1373-5411/index.php?id=3168 http://popups.lib.uliege.be/1373-5411/index.php?id=2375 It is the purpose of this paper to study the concept of an "organizing structure". In the beginning, dynamic systems with a specific substructure are analysed, such that longterm modifications of the system structure (and possibly other effects) can be attributed to that substructure. This analysis follows the guidelines of general system theory and the proposed formalism is open to applications in various fields. In a second step, a possible application to quantum theory is discussed. It will be shown that this proposal is compatible with the present state of quantum theory, and that hidden variables can be regarded as a special case within the concept of a hidden organizing structure. Possible applications to a recently proposed extension (weak quantum theory) and to the study of anticipatory systems will be sketched. Fri, 02 Aug 2024 11:17:11 +0200 Fri, 02 Aug 2024 11:17:22 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2375 http://popups.lib.uliege.be/1373-5411/index.php?id=936 In the beginning, a short survey of general semiotics is given in modern terminology. The broad spectra of signs and of descriptive semiotics are reviewed with special emphasis on biological applications. It is shown that a tool for description and analysis in modern mathematical biology must offer a chance to handle structures and patterns in an adequate and comfortable manner; hence fundamental "pattern-related operations" are characterized. A discussion of the role of information in biology leads to the concept of pragmatic information, which is also studied in its relations with other perspective notions, like meaning, interpretation, and complexity. Finally, arguments are given for the position that biology cannot be completely grounded upon or reduced to physics; at the same time, cues for a future research are presented which may lead to a unified description of biological and other processes. Mon, 01 Jul 2024 14:36:16 +0200 Mon, 07 Oct 2024 15:35:56 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=936