Hyper Symmetries

Author : Istv n Hargittai
Publisher : World Scientific
ISBN 13 : 9789810206000
Total Pages : 594 pages
Book Rating : 4.03/5 ( download)

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Download or read book Fivefold Symmetry written by Istv n Hargittai and published by World Scientific. This book was released on 1992 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been increased awareness of fivefold symmetry in all domains of human interest ever since. The present book brings together authors and ideas on a common theme from mathematics, the sciences, design, and anthropology to history, literature, and the arts. Its 29 chapters are an offering by scientists and humanists from 13 countries to a broad readership of professionals and laypersons about fivefold symmetry and the areas that are being bridged by this unique concept.

Author : Mohamed Haj Yousef
Publisher : Mohamed Haj Yousef
ISBN 13 : 1723828696
Total Pages : 320 pages
Book Rating : 4.90/5 ( download)

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Download or read book ULTIMATE SYMMETRY written by Mohamed Haj Yousef and published by Mohamed Haj Yousef. This book was released on 2019-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume in the Single Monad Model of the Cosmos series. The second volume introduced the Duality of Time Theory, which provided elegant solutions to many persisting problems in physics and cosmology, including super-symmetry and matter-antimatter asymmetry. In addition to uniting the principles of Relativity and Quantum theories, this theory can also explain the psychical and spiritual domains; all based on the same discrete complex-time geometry. Super-symmetry, and quantum gravity, are realized only with the two complementary physical and psychical worlds, while the spiritual realm is governed by hyper-symmetry, which mirrors the previous two levels together, and all these three realms mirror the ultimate level of absolute oneness that describes the symmetry of the divine presence of God and His Beautiful Names and Attributes. This "ULTIMATE SYMMETRY" is a modern scientific account of the same ancient mystical, and greatly controversial, theory of the "Oneness of Being" that is often misinterpreted in terms of "pantheism", but it is indeed the concluding gnostic knowledge of God and creation. Otherwise, how can we understand the origin of the cosmos, with both or either of its corporeal and incorporeal realms, without referring to its Originator! In the literal sense, ultimate or perfect symmetry may seem to be trivial, because it means that all possible transformations in such a symmetric system are invariant. The system we are talking about here is the whole Universe that we are watching and experiencing its immense and sometimes shattering changes every moment of time. Yet many great philosophers, such as Parmenides and Ibn al-Arabi, maintained their firm belief that reality is unchanging One and existence is timeless and uniform, while all apparent changes are mere illusions induced by or in our sensory faculties. Nevertheless, since we are living inside it, this illusion is as good as reality for us. Therefore, we still need to explain how the Universe is being formulated. Only when are able to transcend beyond the current chest of time, we shall discover that we were living a dream, and we shall be able to see the whole Universe as unchanging symmetry. The Single Monad Model and the resulting Duality of Time Theory provide the link between this apparent dynamic multiplicity of creation and the ultimate metaphysical oneness. In fact, the complex-time geometry concludes that we are imagining the reality because we are observing it from a genuinely imaginary time dimension. Since the ultimate reality is One, we cannot view it from outside, because there is none! Thus, as we quoted in the Introduction, in the Book of Theophanies, Ibn al-Arabi ascribes to God as saying: Listen, O My beloved! I am the conclusive entity of the World. I am the center of the circle (of existence) and its circumference. I am its simple point and its compound whole. I am the Word descending between heaven and earth. I have created perceptions for you only to perceive Me. If you then perceive Me, you perceive yourself. But don't ever crave to perceive Me through yourself! It is through My Eyes that you see Me and see yourself. But through your own eyes you can never see Me! This Theophany of Perfection summarizes the Ultimate Symmetry between the single point and the encompassing space. It also summarizes the instantaneous process of creation, or re-creation, which is breaking this symmetry into the two arrows of time, that produce particles and anti-particles, and then restoring it through each subsequent annihilation. This reunion is also the fundamental cause of motion, which is formulated as the Principle of Love that leads to the stationary action that is the initial assumption of most physics theories including Relativity and Quantum Field theories.

Author : Yue-liang Wu
Publisher : World Scientific
ISBN 13 : 9811257108
Total Pages : 397 pages
Book Rating : 4.00/5 ( download)

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Download or read book Foundations Of The Hyperunified Field Theory written by Yue-liang Wu and published by World Scientific. This book was released on 2022-09-28 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quest for the unification of fundamental interactions has become the most challenging frontier of sciences in the 21st century. This book presents a detailed analysis and systematic investigation of the foundations of the hyperunified field theory (HUFT) in light of the path integral formulation with the least action principle. Alternative to other unification theories, the starting point of HUFT is initiated from a simple notion that the universe is made of the fundamental building block which is always moving and obeys the basic rule. Such a rule is delved into in this book by proposing the maximum locally entangled-qubits motion principle together with the scaling and gauge invariance principle. These two basic guiding principles are demonstrated to lay the foundations of HUFT, which enable enables us to discuss a series of long-standing fundamental questions, such as: why does the fundamental building block of nature appear as an entangled qubit-spinor field? what brings about the fundamental symmetry of nature? how does the inhomogeneous hyperspin gauge symmetry govern all basic forces? what is the nature of gravity and space-time? how can the space-time dimension and qubit-spinor field be categorized? why do we live in a universe with only four-dimensional space-time? why are there more than one family of leptons and quarks? how does the early universe evolve to be inflationary? what is the nature of dark matter and dark energy?Foundations of the Hyperunified Field Theory will be of great interest to graduate and senior undergraduate students, junior and senior researchers in theoretical physics, quantum field theory, particle physics, gravitational theory, cosmology, as well as mathematical physics and general physics.

Author : Ph. D. Dejenie A. Lakew
Publisher : AuthorHouse
ISBN 13 : 1449049524
Total Pages : 99 pages
Book Rating : 4.22/5 ( download)

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Download or read book Hyper Symmetries written by Ph. D. Dejenie A. Lakew and published by AuthorHouse. This book was released on 2009-12 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Mathematical imagery book, is a show case for the ubiquity of Mathematics, Mathematics learning and doing Mathematics. The book contains painstakingly crafted images that look like beautiful natural phenomena which we see in the outside world and yet all are generated by Mathematical formulas. The author therefore concludes that all things we see in nature have Mathematical expressions that describe them. The book is therefore a visual eye opener for those who need to appreciate, learn, do and see a different and artistic side of Mathematics. Few of the images are posted in the imagery section of the American Mathematical Society's web site. The book is suitable for almost all people including parents, students, teachers, artists, engineers, scientists, Mathematicians and others. The author invites you a tour in to a museum of Mathematical images in which super symmetric images are abundantly presented.

Author : Xiaohong Zhang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Download or read book Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symmetry of hyperoperation is expressed by hypergroup, more extensive hyperalgebraic structures than hypergroups are studied in this paper. The new concepts of neutrosophic extended triplet semihypergroup (NET- semihypergroup) and neutrosophic extended triplet hypergroup (NET-hypergroup) are firstly introduced, some basic properties are obtained, and the relationships among NET- semihypergroups, regular semihypergroups, NET-hypergroups and regular hypergroups are systematically are investigated. Moreover, pure NET-semihypergroup and pure NET-hypergroup are investigated, and a strucuture theorem of commutative pure NET-semihypergroup is established. Finally, a new notion of weak commutative NET-semihypergroup is proposed, some important examples are obtained by software MATLAB, and the following important result is proved: every pure and weak commutative NET-semihypergroup is a disjoint union of some regular hypergroups which are its subhypergroups.

Author : György Darvas
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110713489
Total Pages : 163 pages
Book Rating : 4.80/5 ( download)

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Download or read book Hypersymmetry written by György Darvas and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes how field-charges, split into isotopic pairs, can commute and identifies the group of transformations that governs this exchange between their states. Invariance under this group is defined as Hypersymmetry. The book develops the physical consequences of Hypersymmetry such as conserved property, quanta and mediating bosons of the interaction field. Since all this expands beyond the standard model, the work determines the energy limits of the applicability of Hypersymmetry and discusses, how to remove the unwanted mass of the predicted set of bosons. Finally, it presents how the model can be applied in the four fundamental interactions. • Comprehensive work covering recent research. • Detailed calculations for a step by step understanding. • Useful reading for master students and researchers in theoretical and experimental physics. • A practical textbook for courses on the physics of the isotopic field-charges, their conservation and interactions.

Author : Irina Cristea
Publisher : MDPI
ISBN 13 : 3039287087
Total Pages : 208 pages
Book Rating : 4.86/5 ( download)

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Download or read book Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures written by Irina Cristea and published by MDPI. This book was released on 2020-05-29 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of 12 innovative research papers in the field of hypercompositional algebra, 7 of them being more theoretically oriented, with the other 5 presenting strong applicative aspects in engineering, control theory, artificial intelligence, and graph theory. Hypercompositional algebra is now a well-established branch of abstract algebra dealing with structures endowed with multi-valued operations, also called hyperoperations, having a set as the result of the interrelation between two elements of the support set. The theoretical papers in this book are principally related to three main topics: (semi)hypergroups, hyperfields, and BCK-algebra. Heidari and Cristea present a natural generalization of breakable semigroups, defining the breakable semihypergroups where every non-empty subset is a subsemihypergroup. Using the fundamental relation β on a hypergroup, some new properties of the β-classes are obtained by De Salvo et al., who introduced and investigated the notion of height of a β-class. Based on the properties of a cyclic hypergroup of particular matrices, Krehlik and Vyroubalova describe the symmetry of lower and upper approximations in certain rough sets connected with this hypergroup. These results suggest an application to the study of detection sensors. In the framework of hyperrings and hyperfields theory, a new line of research has been developed regarding hyperhomographies on Krasner hyperfields, with interesting applications in cryptography (Vahedi et al.) and new fuzzy weak hyperideals were defined in Hv-rings by using the concept of fuzzy multiset (Al Tahan et al.), for which some algebraic properties were obtained. Two articles are dedicated to the study of BCK-algebras. Bordbar et al. present the properties of the relative annihilator in lower BCK-semilattices, whereas several types of intuitionistic fuzzy soft ideals in hyper BCK-algebras were defined and studied by Xin et al. Increasing numbers of researchers are interested in the applicative aspects of algebraic hypercompositional structures. For example, new properties related with symmetric relations are emphasized by Chvalina and Smetana for the structures and hyperstructures of artificial neurons. Novak et al. present a mathematical model based on elements of algebraic hyperstructure theory, used in the context of underwater wireless sensor networks. A construction of granular structures using m-polar fuzzy hypergraphs and level hypergraphs is illustrated in Luqman et al. using examples from a real-life problem. In the last paper in this book, Akram et al. discuss some properties related to edge regularity for q-rung picture fuzzy graphs.

Author : Emilio Bujalance
Publisher : Springer
ISBN 13 : 364214828X
Total Pages : 181 pages
Book Rating : 4.86/5 ( download)

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Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2010-09-29 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.

Author : Krishan L. Duggal
Publisher : Springer Science & Business Media
ISBN 13 : 1461553156
Total Pages : 227 pages
Book Rating : 4.51/5 ( download)

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Download or read book Symmetries of Spacetimes and Riemannian Manifolds written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form.

Author : Ali Kaveh
Publisher : Springer Science & Business Media
ISBN 13 : 3709115655
Total Pages : 473 pages
Book Rating : 4.57/5 ( download)

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Download or read book Optimal Analysis of Structures by Concepts of Symmetry and Regularity written by Ali Kaveh and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.