The Grammatical Universe and the Laws of Thermodynamics and Quantum Entanglement

Journal Article · Wed Nov 24 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3527151· OSTI ID:21506834

Marcer, Peter J ^[1]; Rowlands, Peter ^[2]

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1. 55 rue Jean Jaures, 83600 Frejus, Var (France)
2. Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE (United Kingdom)

The universal nilpotent computational rewrite system (UNCRS) is shown to formalize an irreversible process of evolution in conformity with the First, Second and Third Laws of Thermodynamics, in terms of a single algebraic creation operator (ikE+ip+jm) which delivers the whole quantum mechanical language apparatus, where k, i, j are quaternions units and E, p, m are energy, momentum and rest mass. This nilpotent evolution describes 'a dynamic zero totality universe' in terms of its fermion states (each of which, by Pauli exclusion, is unique and nonzero), where, together with their boson interactions, these define physics at the fundamental level. (The UNCRS implies that the inseparability of objects and fields in the quantum universe is based on the fact that the only valid mathematical representations are all automorphisms of the universe itself, and that this is the mathematical meaning of quantum entanglement. It thus appears that the nilpotent fermion states are in fact what is called the splitting field in Quantum Mechanics of the Galois group which leads to the roots of the corresponding algebraic equation, and concerns in this case the alternating group of even permutations which are themselves automorphisms). In the nilpotent evolutionary process: (i) the Quantum Carnot Engine (QCE) extended model of thermodynamic irreversibility, consisting of a single heat bath of an ensemble of Standard Model elementary particles, retains a small amount of quantum coherence / entanglement, so as to constitute new emergent fermion states of matter, and (ii) the metric (E{sup 2}-p{sup 2}m{sup 2}) = 0 ensures the First Law of the conservation of energy operates at each nilpotent stage, so that (iii) prior to each creation (and implied corresponding annihilation / conserve operation), E and m can be postulated to constitute dark energy and matter respectively. It says that the natural language form of the rewrite grammar of the evolution consists of the well known precepts of the Laws of Thermodynamics, formalized by the UNCRS regress, so as to become (as UNCRS rewrites already published at CASYS), firstly the Quantum Laws of Physics in the form of the generalized Dirac equation and later at higher stages of QCE ensemble complexity, the Laws of Life in the form of Nature's (DNA / RNA genetic) Code and then subsequently those of Intelligence and Consciousness (Nature's Rules).

• OSTI ID: 21506834
• Journal Information: AIP Conference Proceedings, Vol. 1303, Issue 1; Conference: CASYS '09: 9. international conference on computing anticipatory systems, Liege (Belgium), 3-8 Aug 2009; Other Information: DOI: 10.1063/1.3527151; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ANNIHILATION
BOSONS
CREATION OPERATORS
DIRAC EQUATION
DNA
ELEMENTARY PARTICLES
EVOLUTION
FERMIONS
HEAT
IRREVERSIBLE PROCESSES
METRICS
NONLUMINOUS MATTER
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
REST MASS
RNA
STANDARD MODEL
THERMODYNAMICS
UNIVERSE
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GRAND UNIFIED THEORY
INTERACTIONS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
MECHANICS
NUCLEIC ACIDS
ORGANIC COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
UNIFIED GAUGE MODELS
WAVE EQUATIONS