Quanta Logic And Spacetime
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Quanta Logic And Spacetime
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Author : Stephen Allan Selesnick
language : en
Publisher: World Scientific
Release Date : 2003
Quanta Logic And Spacetime written by Stephen Allan Selesnick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for ? and an introduction to ? the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis ? that quantum physics at a fundamental level may itself be realized as a species of quantum computation ? is strongly underscored.
Quanta Logic And Spacetime Variations On Finkelstein S Quantum Relativity
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Author : Stephen A Selesnick
language : en
Publisher: World Scientific
Release Date : 1998-03-12
Quanta Logic And Spacetime Variations On Finkelstein S Quantum Relativity written by Stephen A Selesnick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-12 with Mathematics categories.
In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given. Specifically, his suggestion that some sort of quantum-set-like structure should underlie our macroscopic perception of spacetime is developed to the point where a fair slice of fundamental physics (for a massless world) may be formally derived in an elementary fashion from the ground up. In detail, a model of what Finkelstein has dubbed a “quantum net”, in conjunction with a carefully and extensively articulated correspondence principle, gives rise to the standard Lagrangians for: massless Dirac fermions, general relativity, and Yang-Mills fields for the gauge groups, U(1) x SU(2), and SU(3). These Lagrangians emerge replete with (Feynman) gauge-fixing terms and ghost fields, and a chiral breaking mechanism in the case of SU(2). The results are interpreted in the light of the Standard Model.
Space Time And The Limits Of Human Understanding
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Author : Shyam Wuppuluri
language : en
Publisher: Springer
Release Date : 2016-12-01
Space Time And The Limits Of Human Understanding written by Shyam Wuppuluri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-01 with Science categories.
In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Limbertwig
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Author : Emmerson, Parker
language : en
Publisher: Parker Emmerson Publishes on Lulu
Release Date : 2023-06-13
Limbertwig written by Emmerson, Parker and has been published by Parker Emmerson Publishes on Lulu this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-13 with Computers categories.
This work is an attempt to describe various braches of mathematics and the analogies betwee them. Namely: 1) Symbolic Analogic 2) Lateral Algebraic Expressions 3) Calculus of Infin- ity Tensors Energy Number Synthesis 4) Perturbations in Waves of Calculus Structures (Group Theory of Calculus) 5) Algorithmic Formation of Symbols (Encoding Algorithms) The analogies between each of the branches (and most certainly other branches) of mathematics form, ”logic vectors.” Forming vector statements of logical analogies and semantic connections between the di↵erentiated branches of math- ematics is useful. It’s useful, because it gives us a linguistic notation from which we can derive other insights. These combined insights from the logical vector space connections yield a combination of Numeric Energy and the logic space. Thus, I have derived and notated many of the most useful tangent ideas from which even more correlations and connections ca be drawn. Using AI, these branches can be used to form even more connections through training of lan- guage engines on the derived models. Through the vector logic space and the discovery of new sheaf (Limbertwig), vast combinations of novel, mathematical statements are derived. This paves the way for an AGI that is not rigid, but flex- ible, like a Limbertwig. The Limbertwig sheaf is open, meaning it can receive other mathematical logic vectors with di↵erent designated meanings (of infi- nite or finite indicated elements). Furthermore, the articulation of these syntax forms evolves language away from imperative statements into a mathematically emotive space. Indeed, shown within, we see how the supramanifold of logic is shared with the supramanifold of space-time mathematically. Developing clean mathematical spaces can help meditation, thought pro- cess, acknowledgment of ideas spoken into that cognitive-spacetime and in turn, methods by which paradoxes can be resolved linguistically. This toolkit should be useful to all in the sciences as well as those bridging the humantities to mathematics. Using our memories as a toolkit to aggregate these ideas breaks down bound- aries between them in a new, exciting way. Merging philosophy and Quantum Mechanics together through the lens of symbolic analogies gives the tools to unravel this mystery of all mysteries. Mathematics thus exists as a bridge al- beit a complex one between the two disciplines, giving life to a composite art of problem-solving. Furthermore, mathematics yields to millions of other applications that are potentially limited only by our imagination. From massive data sets used for predictive analytics to emerging fields in medicine, mathematics is an energy and force at the center of possibilities. The power of mathematics to help manage life exists in its ability to shape and model the world in which we live and interact with one another. In conclusion, mathematics is a powerful tool that creates bridges and con- nections between many disciplines and serves as a powerful form of analytical data consumption. It provides language-rich bridges from which to assemble vast fields of theoretical investigations and create groundbreaking innovations. As we approach new horizons in the technology timeline, mathematics will con- tinue to be a powerful driver of creativity and progress. Topology symbolic analogies symbolic analogic lateral algebraic expressions calculus of infinity tensors calculus congruent integral methods congruent solve congruent topological notation n-wave congruency n-waves mathematical analysis monte carlo methods montecarlo simulation The Omega sub Lambda, the Highest Energy level logic space logic vector formal logic circ tor Riemann hypothesis geometry helical calculus group theory wave integral field field theory number theory statistical analysis topological counting infinity theory infinity infinity calculus quasi-quanta energy numbers numeric energy primal energy of numbers topological numerals Algorithm Algorithmic encoding sheaf obverse bracket notation obverse brackets quantum mechanics psi artificial intelligence double forward derivatives derivatives integration integrals omega point set theory omega code permutation subgroup real analysis Lorentz coefficient phenomenological velocity velocity within the Lorentz coefficient ether orgone ether lorentz transformation equilibrium notation energy of an integer account cosmological constant infinity meaning notation linguistic balancing expressions balancing of infinity meanings fibonnaci lattice5 primes Prime Topological Numbers infinity tensor fractal morphism fractal counting Riemann hypothesis units length position sheaf of a quasi-quanta theorem thought program variables powers vector space a priori real numbers elements of the product boundary limits algebraic object artefact malformed artefact imaginary reverse integration quantum channel transmission numeric energy quanta entanglement Laplacian aftermathic revelation raising the dead resurrection predestination v-curvature elliptical functors strange attractor chaos theory synchronicity homological algebra
Symmetry Structure And Spacetime
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Author : Dean Rickles
language : en
Publisher: Elsevier
Release Date : 2008
Symmetry Structure And Spacetime written by Dean Rickles and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism
Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-22
Modern Differential Geometry In Gauge Theories written by Anastasios Mallios and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-22 with Mathematics categories.
Original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Foundations Of Relational Realism
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Author : Michael Epperson
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2013-06-20
Foundations Of Relational Realism written by Michael Epperson and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Philosophy categories.
If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably exceed the limits of intuitive vision, if not intuitive comprehension. For many physicists and philosophers, however, the currently fashionable tendency toward exotic interpretation of the theoretical formalism is recognized not as a mark of ascent for the tower of physics, but rather an indicator of sway—one that must be dampened rather than encouraged if practical progress is to continue. In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic. By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events. These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond.
Quantum Like Networks An Approach To Neural Behavior Through Their Mathematics And Logic
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Author : Stephen A Selesnick
language : en
Publisher: World Scientific
Release Date : 2022-08-03
Quantum Like Networks An Approach To Neural Behavior Through Their Mathematics And Logic written by Stephen A Selesnick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-03 with Science categories.
Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.
Concept And Formalization Of Constellatory Self Unfolding
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Author : Albrecht von Müller
language : en
Publisher: Springer
Release Date : 2018-05-29
Concept And Formalization Of Constellatory Self Unfolding written by Albrecht von Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with Science categories.
This volume offers a fundamentally different way of conceptualizing time and reality. Today, we see time predominantly as the linear-sequential order of events, and reality accordingly as consisting of facts that can be ordered along sequential time. But what if this conceptualization has us mistaking the “exhausts” for the “real thing”, i.e. if we miss the best, the actual taking place of reality as it occurs in a very differently structured, primordial form of time, the time-space of the present? In this new conceptual framework, both the sequential aspect of time and the factual aspect of reality are emergent phenomena that come into being only after reality has actually taken place. In the new view, facts are just the “traces” that the actual taking place of reality leaves behind on the co-emergent “canvas’’ of local spacetime. Local spacetime itself emerges only as facts come into being – and only facts can be adequately localized in it. But, how does reality then actually occur? It is conceived as a “constellatory self-unfolding”, characterized by strong self-referentiality, and taking place in the primordial form of time, the not yet sequentially structured “time-space of the present”. Time is seen here as an ontophainetic platform, i.e. as the stage on which reality can first occur. This view of time (and, thus, also space) seems to be very much in accordance with what we encounter in quantum physics before the so-called collapse of the wave function. In parallel, classical and relativistic physics largely operate within the factual portrait of reality, and the sequential aspect of time, respectively. Only singularities constitute an important exemption: here the canvas of local spacetime – that emerged together with factization – melts down again. In the novel framework quantum reduction and singularities can be seen and addressed as inverse transitions: In quantum physical state reduction reality “gains” the chrono-ontological format of facticity, and the sequential aspect of time becomes applicable. In singularities, by contrast, the inverse happens: Reality loses its local spacetime formation and reverts back into its primordial, pre-local shape – making in this way the use of causality relations, Boolean logic and the dichotomization of subject and object obsolete. For our understanding of the relation between quantum and relativistic physics this new view opens up fundamentally new perspectives: Both are legitimate views of time and reality, they just address very different chrono-ontological portraits, and thus should not lead us to erroneously subjugating one view under the other. The task of the book is to provide a formal framework in which this radically different view of time and reality can be addressed properly. The mathematical approach is based on the logical and topological features of the Borromean Rings. It draws upon concepts and methods of algebraic and geometric topology – especially the theory of sheaves and links, group theory, logic and information theory, in relation to the standard constructions employed in quantum mechanics and general relativity, shedding new light on the pestilential problems of their compatibility. The intended audience includes physicists, mathematicians and philosophers with an interest in the conceptual and mathematical foundations of modern physics.
Process And Time
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Author : William Sulis
language : en
Publisher: World Scientific
Release Date : 2025-03-11
Process And Time written by William Sulis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-11 with Science categories.
In this book, an alternative to the timeless view of time is presented, based on ideas of process, organism, and a constructed reality in which temporal becoming provides the foundation of all experience and events. The classical arguments are analyzed from the worldview perspective and found to be lacking. Ideas of process proposed by Bergson, Whitehead, Arthur, Trofimova, and Sulis are presented, suggesting a new, processist worldview. This book will show that a time based on local becoming is entirely compatible with physics, especially quantum mechanics, through a model based on process algebra. Some general features of the temporal ordering associated with local becoming are also presented.Recent popularizations of physics have fallen prey to sensationalism, emphasizing the conceptual challenges of understanding quantum phenomena while fostering a sense of inscrutability. Instead of challenging our fundamental conceptions of reality, the popular literature has been challenging the existence of reality itself. This book runs counter to this trend and attempts to put reality and time back into physics, avoiding quasi-mysticism when thinking about the nature of quantum phenomena. It aims to show that arguments in philosophy and physics purporting to prove the non-existence of time are flawed, describing the nature of models and theories of time, but not time itself.