Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, tak
Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, tak
This book provides a clear and logical path to understanding what quantum mechanics is about. It will be accessible to undergraduates with minimal mathematical preparation: all that is required is an open mind, a little algebra, and a first course in undergraduate physics. Quantum mechanics is arguably the most successful physical theory. It makes predictions of incredible accuracy. It provides the structure underlying all of our electronic technology, and much of our mastery over materials. But compared with Newtonian mechanics, or even relativity, its teachings seem obscure-they have no coun
In order to address the central question at the heart of the concluding debate at the AAAI 07 Spring quantum interaction symposium, where it was proposed that other probabilistic and nondeterministic theories might replace quantum mechanics, even in relation to quantum physics, and in further explanation of our AAAI Spring 2007 paper ‘How Intelligence Evolved?’, we outline the derivation from first principles of what we call the universal rewrite system. For, once derived, this system has all the appearances of being nature’s semantic computational machine order code, readily identifiable with a new version of quantum mechanics, and powerful predictive capabilities. These, fully detailed in the book Zero to Infinity, now published by World Scientific (Rowlands, 2007), especially in chapter 20, which is a joint contribution by the authors of this paper, are in total agreement with experiment so far, in particular in elementary particle physics, magnetic nuclear spectroscopy and MRI, and the DNA / RNA genetic code molecular biology. Indeed, in the earlier paper, a further identifiable version of this universal rewrite system in recognition of its descriptive quantum physical nature, is that of Dirac’s bra / ket quantum mechanical formalism, where bra and ket will serve as the two creation and conserve universal rewrite system rules / productions, so showing it to describe, in the case of bosons, a Bargmann-Fock quantum field of creation / annihilation operators. It is our view, therefore, that this quantum physical universal computational rewrite system, where the nilpotent generalization of Dirac’s famous quantum mechanical equation specifies the computational machine order code, describes the quantum physical system of process at the heart of nature, and that recognition of this is a necessary step in creating an artificial intelligence which has semantic, as well as syntactic features.
The universe we live in is both strange and interesting. This strangeness comes about because, at the most fundamental level, the universe is governed by the laws of quantum mechanics. This is the most spectacularly accurate and powerful theory ever devised, one that has given us insights into many aspects of the world, from the structure of matter to the meaning of information. This textbook provides a comprehensive account of all things quantum. It starts by introducing the wavefunction and its interpretation as an ephemeral wave of complex probability, before delving into the mathematical formalism of quantum mechanics and exploring its diverse applications, from atomic physics and scattering, to quantum computing. Designed to be accessible, this volume is suitable for both students and researchers, beginning with the basics before progressing to more advanced topics.
Further evidence is presented in favour of the computational paradigm, conceived and constructed by Rowlands and Diaz, as detailed in Rowlands’ book Zero to Infinity (2007) [2], and in particular the authors’ paper ‘The Grammatical Universe: the Laws of Thermodynamics and Quantum Entanglement’ [1]. The paradigm, which has isomorphic group and algebraic quantum mechanical language interpretations, not only predicts the well‐established facts of quantum physics, the periodic table, chemistry / valence and of molecular biology, whose understanding it extends; it also provides an elegant, simple solution to the unresolved quantum measurement problem. In this fundamental paradigm, all the computational constructs / predictions that emerge, follow from the simple fact, that, as in quantum mechanics, the wave function is defined only up to an arbitrary fixed phase. This fixed phase provides a simple physical understanding of the quantum vacuum in quantum field theory, where only relative phases, known to be able to encode 3+1 relativistic space‐time geometries, can be measured. It is the arbitrary fixed measurement standard, against which everything that follows is to be measured, even though the standard itself cannot be, since nothing exists against which to measure it. The standard, as an arbitrary fixed reference phase, functions as the holographic basis for a self‐organized universal quantum process of emergent novel fermion states of matter where, following each emergence, the arbitrary standard is re‐fixed anew so as to provide a complete history / holographic record or hologram of the current fixed past, advancing an unending irreversible evolution, such as is the evidence of our senses. The fermion states, in accord with the Pauli exclusion principle, each correspond to a unique nilpotent symbol in the infinite alphabet (which specifies the grammar in this nilpotent universal computational rewrite system (NUCRS) paradigm); and the alphabet, as Hill and Rowlands hypothesize on substantial evidence [26], includes that of the RNA / DNA genetic code and, as holographic phase encodings / holograms, the 4D geometries of all living systems as self‐organised grammatical computational rewrite machines / machinery. Human brains, natural grammatical (written symbol) languages, 4D geometric self‐awareness and a totally new emergent property of matter, human consciousness, can thus with some measure of confidence be postulated as further genetic consequences which follow from this self‐organizing fundamental rewrite NUCRS construction. For it, like natural language, possesses a semantics and not just a syntax, where the initial symbol, i.e. the arbitrary fixed phase measurement standard, is able to function as the template for the blueprints of the emergent 4D relativistic real and virtual geometries to come, in a ‘from the Self Creation to the creation of the human self’ computational rewrite process evolution.
The universe we live in is both strange and interesting. This strangeness comes about because, at the most fundamental level, the universe is governed by the laws of quantum mechanics. This is the most spectacularly accurate and powerful theory ever devised, one that has given us insights into many aspects of the world, from the structure of matter to the meaning of information. This textbook provides a comprehensive account of all things quantum. It starts by introducing the wavefunction and its interpretation as an ephemeral wave of complex probability, before delving into the mathematical formalism of quantum mechanics and exploring its diverse applications, from atomic physics and scattering, to quantum computing. Designed to be accessible, this volume is suitable for both students and researchers, beginning with the basics before progressing to more advanced topics.
Quantum topology, a burgeoning field of theoretical physics, proposes a novel approach to simulating physical systems by exploiting the properties of quantum entanglement. This paper explores the potential of utilizing quantum topology to develop a powerful new simulation technique, offering a pathway towards highly accurate and computationally efficient models of complex phenomena. We outline the core mechanism, detailing how entanglement can be leveraged to represent and manipulate fundamental connections within a system, ultimately aiming to overcome the limitations of traditional simulation methods. This work addresses the challenge of simulating intricate physical systems with reduced computational demands, presenting a fundamentally new methodology for achieving this goal. The paper will discuss the theoretical foundations, potential applications, and preliminary results obtained through simulations, highlighting the unique advantages of this approach.