http://popups.lib.uliege.be/1373-5411/index.php?id=2385 Publications of Auteurs Peter Rowlands fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=4483 The conventional approach to computer programming using rewrite systems can be extended to create a universal rewrite system, which provides a computational approach to both physics and mathematics, based on the idea of a zero totality alphabet. Mathematics emerges from the system in the form of a Clifford-type algebra, while physics takes the form of nilpotent quantum mechanics (NQM). The most significant characteristic of NQM is that the quantum system (fermion state) and its environment (vacuum) are mathematical mirror images of each other. So a change in one automatically leads to corresponding changes in the other. We have used this characteristic as a model for self-organization, which has applications well beyond quantum physics. The nilpotent structure, seen as emerging from two commutative vector spaces, has a number of identifiable characteristics which we can expect to find in systems where self-organization is dominant; a recent case involves the neurons in the visual cortex. We expect to find many complex systems where our general principles, based, by analogy, on NQM, will apply. Fri, 11 Oct 2024 15:43:24 +0200 Fri, 11 Oct 2024 15:43:44 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4483 http://popups.lib.uliege.be/1373-5411/index.php?id=4472 Research published by Dubois, on a computational derivation of quantum relativist electromagnetic systems, and by Rowlands, on the discovery of a self-organized universal process of universal rewrite productions for computer hardware to interpret, taken together with new evidence, all support the contention that the information-processing architecture of the human brain is indeed quantum mechanical. In particular, the evidence of Scully et al taken together with that of Schempp, presented over several years, shows how the usual objection to quantum coherence, that the brain is a thermodynamic hot machine, can be and are overcome, as is indeed would appear to be the case for the photosynthetic harvesting of photons by chlorophyll. Fri, 11 Oct 2024 11:39:38 +0200 Fri, 11 Oct 2024 11:39:48 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4472 http://popups.lib.uliege.be/1373-5411/index.php?id=4457 The universal rewrite system, which has previously been applied especially to the generation of the number system and to nilpotent quantum mechanics, not only provides a generalised description for all natural processes but also creates a direct measure of entropy increase and of information transfer, which is especially significant for systems on the edge of chaos. Entropy and information can be shown to have a direct connection with the concept of the generation of the number field at a very fundamental level. Fri, 11 Oct 2024 11:05:08 +0200 Fri, 11 Oct 2024 11:05:28 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4457 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=3474 Relativistic quantum mechanics can now be constructed minimally from a single creation operator with explicit energy, momentum and mass terms. The phase factor, amplitude, spinor structure and vacuum states are all automatic consequences of the initial definition. As separately-defined entities they are completely redundant. The operator can even be reduced to two terms (energy and momentum) if differentiation is defined in a discrete sense. This version of quantum mechanics is also a full quantum field theory, with an automatic incorporation of vacuum and second quantization. Renormalization is, in principle, eliminated by the intrinsic (vacuum) supersymmetry of the fermion and boson structures, while the fundamental interactions of particle physics are consequences of the mathematical structure alone, and do not require any additional 'physical' assumptions. Thu, 19 Sep 2024 15:39:21 +0200 Thu, 19 Sep 2024 15:39:36 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3474 http://popups.lib.uliege.be/1373-5411/index.php?id=3444 A novel approach to a proof of the Riemann Hypothesis (that all the zeros of the Zeta function lie on the line x = 1/2) is presented. It is based on the universal nilpotent computational rewrite system (NUCRS), derived in the World Scientific book Zero to lnfinity, from a single nilpotent Dirac operator (Rowlands, 2007), establishing an entirely novel semantic computational foundation simultaneously for both mathematics and quantum physics. Tangible evidence is that the Zeta function is known to represent a quantum system and that the criterion of nilpotence corresponds to (a) Pauli exclusion with unique fermion states spin 1/2 and (b) an infinite rewrite alphabet that also corresponds to the infinite roots of -1, of which the nilpotent generalization of Dirac' s famous quantum mechanical equation is the universal computational order code. Thu, 19 Sep 2024 12:00:50 +0200 Thu, 19 Sep 2024 12:01:02 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3444 http://popups.lib.uliege.be/1373-5411/index.php?id=3221 Assuming that Nature is described by a universal rewrite system and operates according to a process that we can refer to as Nature's code, we define certain numbers as being crucial indicators of how the code operates, whether in biology, chemistry or physics. We also show how these numbers originate in the most extraordinarily simple way from two numbers which correspond to the two distinct processes - conserve and create - within the system which can in tum be related to the properties of duality and anticommutativity. The numbers emerge in a number of distinct series which have distinct algebraic and geometrical representations. The geometrical structures translate easily from 3- to higher-dimensional representations, especially those of dimension 4 and 8, and also connect significantly with rotational symmetries and with Lie groups, up to E8. The fundamental particles of physics are a classic case of the operation of the number series, in which all the significant numbers are represented, and no others. The structure leads to a complete classification of fermions and bosons within an overall E8 representation. An almost parallel system emerges in the genetic code, leading to the processes of transcription and translation. Thu, 12 Sep 2024 09:34:05 +0200 Thu, 12 Sep 2024 09:34:14 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3221 http://popups.lib.uliege.be/1373-5411/index.php?id=3216 The question we are concerned with is: how can the highly ordered replicating state which we call 'life' form within a universe where the tendency of natural processes is towards a state of increasing disorder? The existence of a machine order code or driving process for life to emerge seems to be suggested by the generation of a universal rewrite system, with its own mathematical structure, from the single assumption of a zero totality universe; and it would appear that the successive stages which this system automatically generates correspond with the algebraic and geometrical structures which are fundamental in physics and biology in particular. The system has a number of significant aspects - cardinality, rather than ordinality, 'bifurcation' at each stage, and a key stage at which symmetry breaking first occurs. The progressive stages are worked out here in both algebraic and geometrical terms and illustrated through detailed applications to genetics and particle physics. Thu, 12 Sep 2024 09:33:40 +0200 Thu, 12 Sep 2024 09:33:50 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3216 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=2721 Evidence is presented in support of the hypothesis that Diaz and Rowlands' remarkable discovery of a universal grammar for semantic quantum mechanical mathematical language description, is a candidate for 'altemative (a)' in Leggett's incisive Einstein's Legacy viewpoint in Science, 307, 2005, 871-872 on 'The Quantum Measurement(QM) Problem'. 'Alternative (a)' says that 'QM is the complete truth about the physical world (in the sense that it will always give reliable predictions concerning the nature of experiments) at all levels and describes an external reality'. Fri, 30 Aug 2024 13:54:21 +0200 Fri, 30 Aug 2024 13:54:29 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2721