Beyond Octonion Cosmology

Download Beyond Octonion Cosmology full books in PDF, epub, and Kindle. Read online Beyond Octonion Cosmology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Beyond Octonion Cosmology

Author : Stephen Blaha
Publisher :
ISBN 13 : 9781735679587
Total Pages : 390 pages
Book Rating : 4.6/5 (795 download)

DOWNLOAD NOW!

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.

Octonion-Like Dna-Based Life, Universe Expansion Is Decay, Emerging New Physics: Supplement to Beyond Octonion Cosmology

Author : Stephen Blaha
Publisher : Pingree-Hill Publishing
ISBN 13 : 9781737264019
Total Pages : 74 pages
Book Rating : 4.2/5 (64 download)

DOWNLOAD NOW!

Book Synopsis Octonion-Like Dna-Based Life, Universe Expansion Is Decay, Emerging New Physics: Supplement to Beyond Octonion Cosmology by : Stephen Blaha

Download or read book Octonion-Like Dna-Based Life, Universe Expansion Is Decay, Emerging New Physics: Supplement to Beyond Octonion Cosmology written by Stephen Blaha and published by Pingree-Hill Publishing. This book was released on 2021-06-27 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a major supplement to Beyond Octonion Cosmology. It provides more detail on important topics in Octonion Cosmology. Octonion Cosmology has been shown to give a complete theory of Elementary Particles and Gravitation for our universe and the enclosing Megaverse. The topics in this book include: 1. The theory of our universe, NEWQUeST, exhibits a form similar to the form of a two strand (double helix) DNA four base pair fragment. NEWQUeST may be said to prefigure DNA-based Life in our universe, and possibly in the Megaverse-modulo the eight dimension space-time of the Megaverse that might influence DNA chemistry. Life is favored at the deepest level! 2. It provides a detailed description of the expansion of the universe as a particle resonance. It shows that in the beginning an essential singularity caused the universe to initially appear as a WKB wave function. In the intermediate expansion period, the universe has the form of a QED-like vacuum polarization. In the recent period, the universe resembles a decaying Breit-Wigner resonance. Thus its particle-like nature. 3. New important features of the Octonion Spaces Spectrum are discussed. 4. Generation, Layer, and Connection group representations are discussed in some detail. 5. Detailed, yet concise, descriptions of NEWQUeST (Universes), and of NEWUTMOST (Megaverses) are presented.

Beyond Octonion Cosmology II: Origin of the Quantum; A New Generalized Field Theory (GiFT); A Proof of the Spectrum of Universes; Atoms in Higher Un

Download Beyond Octonion Cosmology II: Origin of the Quantum; A New Generalized Field Theory (GiFT); A Proof of the Spectrum of Universes; Atoms in Higher Un PDF Online Free

Author : Stephen Blaha
Publisher : Pingree-Hill Publishing
ISBN 13 : 9781737264071
Total Pages : 440 pages
Book Rating : 4.2/5 (64 download)

DOWNLOAD NOW!

Book Synopsis Beyond Octonion Cosmology II: Origin of the Quantum; A New Generalized Field Theory (GiFT); A Proof of the Spectrum of Universes; Atoms in Higher Un by : Stephen Blaha

Download or read book Beyond Octonion Cosmology II: Origin of the Quantum; A New Generalized Field Theory (GiFT); A Proof of the Spectrum of Universes; Atoms in Higher Un written by Stephen Blaha and published by Pingree-Hill Publishing. This book was released on 2021-10-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, as well as earlier books, broadens theoretical efforts with new concepts and ideas due to Octonion Cosmology. To that end it develops a deeper basis for Quantum Theory. The new basis is required by the higher dimension universes that appear in Octonion Cosmology ranging up to 20 space-time dimensions. As a result Quantum Theory requires a new formulation of Field Theory: the author's solution is a Generalized Field Theory (GiFT), which leads ultimately to Quantum Mechanics in a series of stages with each dependent on the previous: Origin: Generalized Field Theory (GiFT) to Quantum Field Theory to Quantum Mechanics Quantum Mechanics issues are resolved by Quantum Field Theory or ultimately by GiFT. The book develops an Extended Quantum Mechanics that combines quantum and classical mechanics with each being a limiting case of the extended theory. Extended Quantum Mechanics is the Quantum Mechanical equivalent of PseudoQuantum Field Theory, a part of GiFT. GiFT is based on Two-Tier Quantum Theory and PseudoQuantum Field Theory, both of which the author developed some time ago. They resolve divergence problems, and also non-static coordinate system quantization issues, that appear in higher dimension universes. Four dimension renormalization methods do not work in higher dimensions. Particle quantization has difficulties in non-static coordinate systems with no Killing vector. GiFT resolves those difficulties. GiFT contains a local SU(1, 1) group structure that gives a new interpretation to creation/annihilation operators in field theory. The extended Quantum Mechanics version of GiFT is CQ Mechanics - a Quantum Mechanics that also embodies a classical mechanics limit. It appears in appendix C. The Octonion Universes Spectrum is closely related to spinor arrays. We have shown spinor arrays have a similar block structure to hypercomplex numbers, which, in turn, are closely related to the structure of internal symmetry groups. In this book we derive the Octonion Cosmology Spectrum of universes partly based on spinor array features. Lastly, QED-like interactions in higher dimension universes are considered including the EM potential and Bohr-like atomic energy levels. It suggests our kind of Life is unlikely in higher dimension universes.

21st Century Natural Philosophy of Octonion Cosmology, and Predestination, Fate, and Free Will

Author : Stephen Blaha
Publisher :
ISBN 13 : 9781737264064
Total Pages : 174 pages
Book Rating : 4.2/5 (64 download)

DOWNLOAD NOW!

Book Synopsis 21st Century Natural Philosophy of Octonion Cosmology, and Predestination, Fate, and Free Will by : Stephen Blaha

Download or read book 21st Century Natural Philosophy of Octonion Cosmology, and Predestination, Fate, and Free Will written by Stephen Blaha and published by . This book was released on 2021-09-17 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural Philosophy is based on a current understanding of Physical Reality. Thus it must evolve as our knowledge of Nature changes. This was true in Ancient Greece. It remains true up to the present. We can classify views of Physical Reality into four periods that correspond to major periods in Natural Philosophy: Aristotelian Newtonian Atomic Octonion Cosmological This book describes Natural Philosophy in view of the exciting new developments of Physical Reality in Octonion Cosmology. It begins with a detailed narrative outline of the genesis of the ten spaces (universes) of the Cosmos from a point in a 20 dimension space-time. It is followed by a detailed view of the Octonion Cosmological Period describing the impact on Epistemology and Metaphysics. Space, time and matter are intertwined in a new manner that differs from the Atomic Period. The structure of the Cosmos differs dramatically from previous theories. The book also addresses Predestination, Fate, and Free Will from a quantum perspective. Its third part contains the original book: 21st Century Natural Philosophy, which describes the Natural Philosophy of the Atomic Period. The Atomic Period began in the late 19th Century when the atomic nature of matter was finally accepted. It continued up to the 2020 as atoms were disassembled into elementary particles and forces. In January, 2020 the author introduced a hypercomplex number based theory, QUeST, that had the remarkable feature of yielding the known interactions and elementary particles of The Standard Model and much more. Subsequently Octonion Cosmology emerged. It is described in 2021 in the author's books: Quantum Space Theory and Beyond Octonion Cosmology. A point of interest is a "golden" triangle of transformations between mass, energy, and space. Mass can be transformed into energy and vice versa. Mass and/or energy can be transformed into space and vice versa.

Pioneering The Cosmos

Author : Stephen Blaha
Publisher :
ISBN 13 : 9781735679556
Total Pages : 264 pages
Book Rating : 4.6/5 (795 download)

DOWNLOAD NOW!

Book Synopsis Pioneering The Cosmos by : Stephen Blaha

Download or read book Pioneering The Cosmos written by Stephen Blaha and published by . This book was released on 2021-02-23 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Second Edition of From Octonion Cosmology to the Unified SuperStandard Theory (UST) of Particles presenting a more detailed Cosmology based on a spectrum of 10 octonion spaces, one Superverse, and three spaces of functionals. It presents a complete theory of spaces and particles. It unites a very deep Theory of the Cosmos with QUeST and UTMOST, and the UST. There are many new topics including: An Octonion Spaces Computation Model of universes and Megaverses running as quantum computers; Strings, Bags, Data Spaces, Minispaces, and Higgs Bosons within Octonion spaces; More parallels to Sefer Yetrizah Cosmology, Linguistic Theory, and God-view as well as hints of Lost Ancient Physics within it; The meaning of the 231 gates to space-time; A God-view based on Logic using Monads; Possible Cascading Quantum Probability Tweaks to manage and modify evolving History; and Thoughts on Life After Death based on the Monads within Human Bodies. This book provides an unparalleled description of a complete theory of Physical Reality from the Cosmos to Elementary Particles, truly with profound implications.

From Octonion Cosmology to the Unified SuperStandard Theory of Particles

Author : Stephen Blaha
Publisher : Pingree-Hill Publishing
ISBN 13 : 9781735679549
Total Pages : 242 pages
Book Rating : 4.6/5 (795 download)

DOWNLOAD NOW!

Book Synopsis From Octonion Cosmology to the Unified SuperStandard Theory of Particles by : Stephen Blaha

Download or read book From Octonion Cosmology to the Unified SuperStandard Theory of Particles written by Stephen Blaha and published by Pingree-Hill Publishing. This book was released on 2020-12-27 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete Cosmology based on 10 octonion spaces: a space for the Megaverse, for the universe, and for other purposes including mini-universes. It derives the Unified SuperStandard Theory (UST) from Octonion Cosmology. The 10 spaces are interrelated in detail. Multilevel patterns in the spaces lead to internal symmetries and the spectrum of fundamental particles. Remarkably Octonion Cosmology is shown to correspond to the Sefer Yetzirah Cosmology dating back to the Second Millennium BCE according to Lore.

Quantum Fluctuations of Spacetime

Author : Lawrence B. Crowell
Publisher : World Scientific
ISBN 13 : 9812565159
Total Pages : 388 pages
Book Rating : 4.8/5 (125 download)

DOWNLOAD NOW!

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.

Why Beauty Is Truth

Author : Ian Stewart
Publisher :
ISBN 13 : 0465082378
Total Pages : 306 pages
Book Rating : 4.4/5 (65 download)

DOWNLOAD NOW!

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.

The Quantum Gamble

Author : Jan C. A. Boeyens
Publisher : Springer
ISBN 13 : 3319416219
Total Pages : 177 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

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.

TRACTATUS LOGO-PHILOSOPHICUS

Author : Walter A. Koch
Publisher : BoD – Books on Demand
ISBN 13 : 3839155223
Total Pages : 198 pages
Book Rating : 4.8/5 (391 download)

DOWNLOAD NOW!

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

Before the Beginning

Author : Martin J. Rees
Publisher :
ISBN 13 : 9780743230995
Total Pages : 288 pages
Book Rating : 4.2/5 (39 download)

DOWNLOAD NOW!

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.

Quaternionic Quantum Mechanics and Quantum Fields

Author : Stephen L. Adler
Publisher : Oxford University Press
ISBN 13 : 0195345061
Total Pages : 599 pages
Book Rating : 4.1/5 (953 download)

DOWNLOAD NOW!

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.

On Quaternions and Octonions

Author : John H. Conway
Publisher : CRC Press
ISBN 13 : 1439864187
Total Pages : 172 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!

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

Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes)

Download Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) PDF Online Free

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9811269785
Total Pages : 4880 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) by : Remo Ruffini

Download or read book Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) written by Remo Ruffini and published by World Scientific. This book was released on 2022-12-15 with total page 4880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format.

Strings and Geometry

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821837153
Total Pages : 396 pages
Book Rating : 4.8/5 (371 download)

DOWNLOAD NOW!

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.

Contemporary Arguments in Natural Theology

Author : Colin Ruloff
Publisher : Bloomsbury Publishing
ISBN 13 : 1350093874
Total Pages : 353 pages
Book Rating : 4.3/5 (5 download)

DOWNLOAD NOW!

Book Synopsis Contemporary Arguments in Natural Theology by : Colin Ruloff

Download or read book Contemporary Arguments in Natural Theology written by Colin Ruloff and published by Bloomsbury Publishing. This book was released on 2021-06-17 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a bold revival in the field of natural theology, where “natural theology” can be understood as the attempt to demonstrate that God exists by way of reason, evidence, and argument without the appeal to divine revelation. Today's practitioners of natural theology have not only revived and recast all of the traditional arguments in the field, but, by drawing upon the findings of contemporary cosmology, chemistry, and biology, have also developed a range of fascinating new ones. Contemporary Arguments in Natural Theology brings together twenty experts working in the field today. Together, they practice natural theology from a wide range of perspectives, and show how the field of natural theology is practiced today with a degree of diversity and confidence not seen since the Middle Ages. Aimed primarily at advanced undergraduates and graduate students, the volume will also be of interest to researchers in philosophy, theology, biblical studies, and religious studies, as an indispensable resource on contemporary theistic proofs.

On The Role Of Division, Jordan And Related Algebras In Particle Physics

Author : Feza Gursey
Publisher : World Scientific
ISBN 13 : 981449822X
Total Pages : 483 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

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.