http://popups.lib.uliege.be/1373-5411/index.php?id=1711 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3205 Mathematics and physics are shown to have a symbiotic relationship as emergent aspects of a universal rewrite system. In addition to explaining the 'unreasonable effectiveness' of mathematics in physics and the 'unreasonable effectiveness' of physics in mathematics, this emergent nature of both subjects makes sense of the distinction between syntactic and semantic approaches to logical reasoning. The system is also shown to generate constraints on the kinds of mathematics and physics that are possible, explaining, in particular, why symmetry is so significant in the subjects' foundations, and specifying which symmetries are most significant, as well as indicating their points of origin. Quantum mechanics emerges from this structure in a very specific form which enables us to understand the origin of symmetry breaking in physics and many other aspects of fundamental physical theory. Gravity also has special characteristics which explain its uniqueness among the four physical forces. Wed, 11 Sep 2024 17:03:03 +0200 Tue, 08 Oct 2024 13:25:37 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3205 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 http://popups.lib.uliege.be/1373-5411/index.php?id=1708 "Eccentricity" is a term for a displacement, while "eccentric anticipation" is defined as the control of forthcoming contact across locomotive kinematic chains. The disturbing fact there is found in the driving vertebrate kinematics and the related locomotion technologies. To fit human performance, these all fall to specific spatiotemporal standards. Local self-similarity and a nonlinear feedback stabilization is binding the kinematic chain to the demands of a mechanism. Tue, 16 Jul 2024 11:58:17 +0200 Tue, 16 Jul 2024 11:58:30 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1708