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Beyond Octonion Cosmology
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Book Synopsis Beyond Octonion Cosmology by : Stephen Blaha
Download or read book Beyond Octonion Cosmology written by Stephen Blaha and published by . This book was released on 2021-05 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Octonion Cosmology appears somewhat strange at first glance despite its clear consequences for Elementary Particle Physics. This book starts with octonionic spaces and proceeds to develop a Unified SuperStandard Theory for our universe with an exciting set of features that generalize The Standard Model to accommodate new phenomena such as leptoquark interactions via SU(4) and a Strong interaction connection for photons - both topics lately in the news. It provides a derivation of Octonion Cosmology from a substratum of eight postulates for the properties of space. These postulates lead directly to the eight spaces of Octonion Cosmology. The derivation is straightforward but somewhat complex. As a mathematical aside, a generalization of the important hypercomplex Cayley numbers is developed. Multidimensional Cayley arrays based on the Cayley-Dickson Construction are defined and their fundamental properties explored. This volume also contains Pioneering the Cosmos and Pioneering the Cosmos II God-Space in their entirety. Their purpose was to provide an almost complete Octonion Cosmology presentation and to serve as a ready reference for the derivation. Their descriptions follow. Description: Pioneering the Cosmos This book is the Second Edition of: From Octonion Cosmology to the Unified SuperStandard Theory of Particles. It presents a more detailed, complete Cosmology based on a spectrum of ten octonion spaces, a Superverse, and three spaces of functionals. Octonion Cosmology is a truly fundamental physical theory that "explains" space-time, internal symmetry groups, and elementary particles, and their associated, detailed phenomena. It provides a justification for the Unified SuperStandard Theory that the author previously derived from Logic considerations over the past twenty years (based on the author's extensions of Quantum Field Theory presented in papers in the 1970s.) There is a panoramic range from the most fundamental physical levels to current elementary particle physics experiments. Description: Pioneering the Cosmos II God-Space This book is Part II of Pioneering the Cosmos. It extends the presentation of features of Octonion Cosmology to make it a complete theory of the Cosmos. The beginning is the million dimension God-Space, from which the other octonion spaces (forming an octet), and their instances (particles), are derived. We show that the conventional form of symmetry breaking via the Higgs Mechanism is not sufficient. We introduce a new form of symmetry "splitting into factors" based on two types of inheritance. A view of the photon is presented showing that it is analogous to a frozen universe. Part of the photon "universe" connects to the ElectroWeak interactions; part of the photon universe connects to the Strong interaction and supports a ρ Vector Meson Dominance (VDM) connection.
Book Synopsis Quantum Fluctuations of Spacetime by : Lawrence B. Crowell
Download or read book Quantum Fluctuations of Spacetime written by Lawrence B. Crowell and published by World Scientific. This book was released on 2005 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.
Download or read book Cycles of Time written by Roger Penrose and published by Vintage. This book was released on 2011-09-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.
Book Synopsis Why Beauty Is Truth by : Ian Stewart
Download or read book Why Beauty Is Truth written by Ian Stewart and published by . This book was released on 2008-04-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics.
Book Synopsis Before the Beginning by : Martin J. Rees
Download or read book Before the Beginning written by Martin J. Rees and published by . This book was released on 2002 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental and theoretical successes of cosmology in recent years offer the most dramatic enlargement of our concept of the universe since astronomers first realised the Sun's true place among the stars. In this groundbreaking, thought-provoking and accessible book Professor Sir Martin Rees argues that our universe is just one element in an infinite ensemble, a cosmic archipelago where impassable barriers prohibit communication between the islands. Our 'home universe' is an exceptional member of this ensemble, however, not least because it contains creatures able to observe it and contemplate its nature, past and future. One of these is Rees himself: one of the most creative and original of contemporary scientists, and a wonderful guide to the mysteries of the cosmos.
Book Synopsis On Quaternions and Octonions by : John H. Conway
Download or read book On Quaternions and Octonions written by John H. Conway and published by CRC Press. This book was released on 2003-01-23 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less f
Book Synopsis TRACTATUS LOGO-PHILOSOPHICUS by : Walter A. Koch
Download or read book TRACTATUS LOGO-PHILOSOPHICUS written by Walter A. Koch and published by BoD – Books on Demand. This book was released on 2009 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new form of Protophysics discerns clues to a deeper form of reality: it lies before, after, beyond, and within the more familiar universe, which is described by mainstream physics. "Tractatus" is a philosophic approach; it tries to give the preliminary outlines for a corresponding "Philosophy in a New Key". It delineates an infinite "megaverse", which seems weird at first sight and comforting at the same time. Seemingly incompatible realms of experience such as "The Structure of the Megaverse", "The Frames for Unfolding and Evolution", "The Role of Cognition and Emotion in the Universe", "The Universality of Love", "The Reality of Prayer and God", "The Roots of Logic and Logos" fall into place: they appear to join in a harmonious whole. The New Philosophy relies on "biperspectivism" as the deepest structure in the Megaverse and in the human mind. Biperspectivism has many forms and names: "Energy vs. Information" is one of them. (Schopenhauer's "Wille und Vorstellung" is but an echo of it all.) In the view of this philosophy, a New Physics spontaneously begets a new METAphysics
Book Synopsis The Quantum Gamble by : Jan C. A. Boeyens
Download or read book The Quantum Gamble written by Jan C. A. Boeyens and published by Springer. This book was released on 2016-08-12 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, written by a highly cited author, presents the history of quantum theory together with open questions and remaining problems in terms of the plausibility of quantum chemistry and physics. It also provides insights into the theory of matter-wave mechanics. The content is aimed at students and lecturers in chemistry, physics and the philosophy of science.
Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto
Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
Book Synopsis On The Role Of Division, Jordan And Related Algebras In Particle Physics by : Feza Gursey
Download or read book On The Role Of Division, Jordan And Related Algebras In Particle Physics written by Feza Gursey and published by World Scientific. This book was released on 1996-11-22 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.
Author :Clay Mathematics Institute. Summer School Publisher :American Mathematical Soc. ISBN 13 :9780821837153 Total Pages :396 pages Book Rating :4.8/5 (371 download)
Book Synopsis Strings and Geometry by : Clay Mathematics Institute. Summer School
Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Book Synopsis Noncommutative Geometry, Quantum Fields and Motives by : Alain Connes
Download or read book Noncommutative Geometry, Quantum Fields and Motives written by Alain Connes and published by American Mathematical Soc.. This book was released on 2019-03-13 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence. It also presents a model of elementary particle physics based on noncommutative geometry. The main result is a complete derivation of the full Standard Model Lagrangian from a very simple mathematical input. Other topics covered in the first part of the book are a noncommutative geometry model of dimensional regularization and its role in anomaly computations, and a brief introduction to motives and their conjectural relation to quantum field theory. The second part of the book gives an interpretation of the Weil explicit formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. This is based on the noncommutative geometry of the adèle class space, which is also described as the space of commensurability classes of Q-lattices, and is dual to a noncommutative motive (endomotive) whose cyclic homology provides a general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-lattices, in one and two dimensions, exhibits spontaneous symmetry breaking. In the low-temperature regime, the equilibrium states of the corresponding systems are related to points of classical moduli spaces and the symmetries to the class field theory of the field of rational numbers and of imaginary quadratic fields, as well as to the automorphisms of the field of modular functions. The book ends with a set of analogies between the noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to gravity and the moduli spaces of Q-lattices used in the study of the zeta function.
Book Synopsis Quaternionic Quantum Mechanics and Quantum Fields by : Stephen L. Adler
Download or read book Quaternionic Quantum Mechanics and Quantum Fields written by Stephen L. Adler and published by Oxford University Press. This book was released on 1995-04-27 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been known since the 1930s that quantum mechanics can be formulated in quaternionic as well as complex Hilbert space. But systematic work on the quaternionic extension of standard quantum mechanics has scarcely begun. Authored by a world-renowned theoretical physicist, this book signals a major conceptual advance and gives a detailed development and exposition of quaternionic quantum mechanics for the purpose of determining whether quaternionic Hilbert space is the appropriate arena for the long sought-after unification of the standard model forces with gravitation. Significant results from earlier literature, together with many new results obtained by the author, are integrated to give a coherent picture of the subject. The book also provides an introduction to the problem of formulating quantum field theories in quaternionic Hilbert space. The book concludes with a chapter devoted to discussions on where quaternionic quantum mechanics may fit into the physics of unification, experimental and measurement theory issues, and the many open questions that still challenge the field. This well-written treatise is a very significant contribution to theoretical physics. It will be eagerly read by a wide range of physicists.
Download or read book Geometry in History written by S. G. Dani and published by Springer Nature. This book was released on 2019-10-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
Book Synopsis Lectures on Fluid Dynamics by : Roman Jackiw
Download or read book Lectures on Fluid Dynamics written by Roman Jackiw and published by Springer Science & Business Media. This book was released on 2002-05-17 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable
Book Synopsis Introduction to Cryptography by : Hans Delfs
Download or read book Introduction to Cryptography written by Hans Delfs and published by Springer Science & Business Media. This book was released on 2007-05-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the rapid growth of digital communication and electronic data exchange, information security has become a crucial issue in industry, business, and administration. Modern cryptography provides essential techniques for securing information and protecting data. In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. The security of cryptographic schemes is a central topic. Typical examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises. The second edition contains corrections, revisions and new material, including a complete description of the AES, an extended section on cryptographic hash functions, a new section on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.
Book Synopsis The Evolution of National Water Regimes in Europe by : Stefan Kuks
Download or read book The Evolution of National Water Regimes in Europe written by Stefan Kuks and published by Springer Science & Business Media. This book was released on 2004-11-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: All over the world countries struggle with water stress. Problems vary from water scarcity and a degrading water quality, to floods and a rising sea level due to climate change. The European Union adopted a Water Framework Directive to improve the sustainability of water management in its member states. Water management should be coordinated at the level of river basins as a whole. Interests of various user groups should be better represented. River basin visions should take into account the impact of all human activities on the status of the resource. Water legislation needs streamlining and more focus on its implementation. The European Union advocates regulating water prices by charging the costs of water services on the basis of full cost recovery and the polluter pays principle. This book examines the development of water management in the Netherlands, Belgium, France, Spain, Italy and Switzerland. It is based on the European research project EUWARENESS. The authors apply a theoretical framework for the analysis of institutional regimes, water governance and property rights. The evolution of national water resource regimes is described over a period of almost 200 years (1800-2000). The long-term perspective enables the reader to see the conditions under which regime transformation and paradigm change are made possible. The book also includes a critical analysis of policy making by the European Union, and a comparative review and analysis of regime development in the six countries involved. This book is followed by another volume published with Kluwer Academic Publishers on "Integrated Governance and Water Basin Management", edited by Hans Bressers and Stefan Kuks.