https://popups.uliege.be/3041-539x/index.php?id=1185 Publications of Auteurs Michael Manthey fr 0 https://popups.uliege.be/3041-539x/index.php?id=3455 The computational operation called synchronization, vital for realizing multi-process systems, is described in terms of a Clifford algebra over {-1,0,1}. This provides a two way bridge between the worlds of computation and quantum mechanics, and casts new light on such matters as quantum non-determinism, mechanism and causality, the explicit structure of particles (including dark matter), and the like. We dub this the synchronizational model of quantum mechanics. Oppositely, we show how to represent any computation - sequential or concurrent - in these algebraic terms, thus providing a novel and powerful physically-oriented mathematics for computer science and allied disciplines. Thu, 19 Sep 2024 14:48:27 +0200 Tue, 08 Oct 2024 15:02:18 +0200 https://popups.uliege.be/3041-539x/index.php?id=3455 https://popups.uliege.be/3041-539x/index.php?id=1171 This paper presents a synchronization-based, multi-process computational model of anticipatory systems called the Phase Web. It describes a self-organizing paradigm that explicitly recognizes and exploits the existence of a boundary between inside and outside, accepts and exploits intentionality, and uses explicit self-reference to describe eg. auto-poiesis. The model explicitly connects computation to a discrete Clifford algebraic formalization that is in turn extended into homology and co-homology, wherein the recursive nature of objects and boundaries becomes apparent and itself subject to hierarchical recursion. Topsy, a computer program embodying the Phase Web, is currently being readied for release. Fri, 05 Jul 2024 15:26:41 +0200 Tue, 08 Oct 2024 17:18:25 +0200 https://popups.uliege.be/3041-539x/index.php?id=1171