Scientific Essays In Honor Of H Pierre Noyes On The Occasion Of His 90th Birthday

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Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthday

Author : John C Amson,Louis H Kauffman
Publisher : World Scientific
Page : 400 pages
File Size : 45,5 Mb
Release : 2013-11-26
Category : Mathematics
ISBN : 9789814579384

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Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthday by John C Amson,Louis H Kauffman Pdf

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes. The book is a representative selection of papers on the topics that have been central to the meetings over the last three decades of ANPA, the Alternative Natural Philosophy Association. ANPA was founded by Pierre Noyes and his colleagues the philosopher-linguist-physicist Frederick Parker-Rhodes, the physicist Ted Bastin, and the mathematicians Clive Kilmister, John Amson. Many of the topics in the book center on the combinatorial hierarchy discovered by the originators of ANPA. Other topics explore geometrical, cosmological and biological aspects of those ideas, and foundational aspects related to discrete physics and emergent quantum mechanics. The book will be useful to readers interested in fundamental physics, and particularly to readers looking for new and important viewpoints in Science that contain the seeds of futurity. Contents:Unital Homogeneous Polynomial Operators on Hilbert Space (John C Amson)Towards a Generalised Combinatorial Hierarchy (Keith G Bowden)Quantum Cosmology and Special Mersenne Primes (Geoffrey F Chew)BiEntropy — the Measurement and Algebras of Order and Disorder in Finite Binary Strings (Grenville J Croll)Constraints Theory Brief (Anthony M Deakin)An Elegance First Approach to looking for the Universe in Finite Geometry (Herb Doughty)Boolean Geometry and Non-boolean Change (Thomas Etter)Speculation on Consciousness as Relative Existence (Louis Gidney)A Management View of ANPA (East) 1979 to 2012 (Michael Horner)Critical Stability of Few-Body Systems (V A Karmanov and J Carbonell)Non-Commutative Worlds and Classical Constraints (Louis H Kauffman)Report on ANPA to the ANPA Advisory Board, 2008 (Clive W Kilmister)Reflections on Fundamentals and Foundations of Physics (James Lindesay)Ordering Operators (David McGoveran)Information, Entropy, and the Combinatorial Hierarchy: Calculations (Michael Manthey and Douglas Matzke)Spacetime, Dirac and Bit-Strings (G N Ord)Fractal Large-Scale Structure in the Universe (D F Roscoe)A Dual Space as the Basis of Quantum Mechanics and Other Aspects of Physics (Peter Rowlands)Discrete Motion and the Emergence of Space and Time (Richard Shoup)Expanding–Contracting Universes (Irving Stein)Development of a New Approach to Systems Biology and Therapy Design (Fredric S Young) Readership: Researchers in mathematical physics, theoretical physics and history of science. Key Features:The book is unique as a collection of basic papers in the study of the combinatorial hierarchy and discrete physics. We mention particularly that it contains contributions by a number of very well-known physicists and mathematiciansThere are a number of ground-breaking topics — including work relating quantum mechanics and discrete and geometrical physics, and new approaches to the combinatorial hierarchy using topos theoryFinally, the papers are for the most part self-contained expositions available to advanced undergraduates and researchers in both continuous and discrete theoretical physicsKeywords:Theoretical Physics;Nuclear Physics;Combinatorics;Hierarchies;Boolean Geometry;Finite Geometries;Bitstrings;Cosmology;Tensors;Operators;Categories;Systems Biology;Entropy;Few-Body Systems;Critical Stability;Mersenne Primes

Unified Field Mechanics II: Formulations and Empirical Tests

Author : Amoroso Richard L,Albertini Gianni,Kauffman Louis H
Publisher : World Scientific
Page : 652 pages
File Size : 52,5 Mb
Release : 2018-01-03
Category : Science
ISBN : 9789813232051

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Unified Field Mechanics II: Formulations and Empirical Tests by Amoroso Richard L,Albertini Gianni,Kauffman Louis H Pdf

This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.

Unified Field Mechanics: Natural Science Beyond The Veil Of Spacetime - Proceedings Of The Ix Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier

Author : Amoroso Richard L,Kauffman Louis H,Rowlands Peter
Publisher : World Scientific
Page : 620 pages
File Size : 55,8 Mb
Release : 2015-09-08
Category : Science
ISBN : 9789814719070

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Unified Field Mechanics: Natural Science Beyond The Veil Of Spacetime - Proceedings Of The Ix Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier by Amoroso Richard L,Kauffman Louis H,Rowlands Peter Pdf

Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.

Fundamental Physics At The Vigier Centenary: "L'heretique De La Physique" Lives On

Author : Richard L Amoroso,Louis H Kauffman,Peter Rowlands
Publisher : World Scientific
Page : 474 pages
File Size : 45,7 Mb
Release : 2021-08-27
Category : Science
ISBN : 9789811246470

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Fundamental Physics At The Vigier Centenary: "L'heretique De La Physique" Lives On by Richard L Amoroso,Louis H Kauffman,Peter Rowlands Pdf

There has not been a scientific revolution for about 100 years. One seems imminent, as QED has recently been violated at the Sigma-6 level. Kuhn, in 'The Structure of Scientific Revolutions', used Wittgenstein's famous duck-rabbit optical illusion to demonstrate how bias in interpretation causes scientists to see the same information in radically different manners, which is likely to have delayed the pending paradigm shift. Jean-Pierre Vigier, continually labeled l'hérétique de la physique and l'eternel resistant in French media, remains a pillar of modern mathematical physics. 'Heretical' works of Vigier related to extended electromagnetic theory incorporating photon mass and a longitudinal B(3) EM field, gravity, quantum theory, large-scale additional dimensions, the Dirac polarized vacuum and many more related issues are deemed by his followers to be essential to the evolution of physics. The phrase 'Lives On' was chosen in the title of this volume to claim ignored portions of his work are relevant to implementing the Paradigm Shift to an Einsteinian Unified Field Theory. Specifically, chapters about the Dirac Hypertube, Tight-Bound States and Spacetime programming provide required insights into crossing the dimensional barrier and 'proving' parts of M-Theoretic dimensionality. As happens periodically in the history of science, we live in a climate where coloring outside-the-box can have severe myopic consequences such as difficulties in passing PhD exams, challenges in grant approval or problems in receiving tenure. Since there is no conflict with Gauge Theory, once realized, many chapters in this important volume will aid in facilitating progress in physics beyond the Standard Model.

Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference "Applied Category Theory Graph-operad-logic"

Author : Hilda Maria Colin Garcia,Jose De Jesus Cruz Guzman,Louis H Kauffman,Hanna Makaruk
Publisher : World Scientific
Page : 771 pages
File Size : 47,8 Mb
Release : 2023-09-27
Category : Mathematics
ISBN : 9789811271168

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Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference "Applied Category Theory Graph-operad-logic" by Hilda Maria Colin Garcia,Jose De Jesus Cruz Guzman,Louis H Kauffman,Hanna Makaruk Pdf

Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book consists of papers on a wide variety of topics related to the work of Professor Oziewicz, which were presented at the special conference on Graph-Operads-Logic (GOL 2021), selected through peer review to promote his scientific legacy.Professor Oziewicz was a great enthusiast and supporter of category theory and its applications in physics, as well as in various areas of mathematics (topology, noncommutative geometry, etc.). In particular, he made significant contributions to the theory of Frobenius algebras, which now are becoming more important due to their connection with topological quantum field theories that are used in mathematical physics and in quantum topology. Professor Oziewicz was a great and very generous teacher, who immersed his students in the beautiful ideas of category theory as well as mathematical physics and computation. It was his idea to start a series of conferences under the title Graphs-Operads-Logic, most of them held in Mexico, with some of them in the USA, which were a great platform to discuss various ideas connected with category theory and its various applications, and to make friends with other scientists. Despite his passing, the GOL 2021 conference is included in this series to pay tribute to his many contributions to diverse areas of science.The book is laid out in twelve main topics where we can find relevant works from distinguished experts.

Universal Quantum Computing: Supervening Decoherence - Surmounting Uncertainty

Author : Amoroso Richard L
Publisher : World Scientific
Page : 632 pages
File Size : 55,8 Mb
Release : 2017-01-23
Category : Science
ISBN : 9789813146013

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Universal Quantum Computing: Supervening Decoherence - Surmounting Uncertainty by Amoroso Richard L Pdf

This breakthrough volume touts having dissolved the remaining barriers to implementing Bulk Universal Quantum Computing (UQC), and as such most likely describes the most advanced QC development platform. Numerous books, hundreds of patents, thousands of papers and a Googolplex of considerations fill the pantheon of QC R&D. Of late QC mathemagicians claim QCs already exist; but by what chimeric definition. Does flipping a few qubits in a logic gate without an algorithm qualify as quantum computing? In physics, theory bears little weight without rigorous experimental confirmation, less if new, radical or a paradigm shift. This volume develops quantum computing based on '3rd regime' physics of Unified Field Mechanics (UFM). What distinguishes this work from a myriad of other avenues to UQC under study? Virtually all R&D paths struggle with technology and decoherence. If highly favored room-sized cryogenically cooled QCs ever become successful, they would be reminiscent of the city block-sized Eniac computer of 1946. The QC prototype proposed herein is room temperature and tabletop. It is dramatically different in that it is not confined to the limitations of quantum mechanics; since it is based on principles of UFM the Uncertainty Principle and Decoherence no longer apply. Thus this QC model could be implemented on any other quantum platform!

Mereon Matrix, The: Everything Connected Through (K)nothing

Author : Kauffman Louis H,Mcnair Jytte Brender,Dennis Lynnclaire
Publisher : World Scientific
Page : 904 pages
File Size : 54,7 Mb
Release : 2018-06-12
Category : Mathematics
ISBN : 9789813233577

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Mereon Matrix, The: Everything Connected Through (K)nothing by Kauffman Louis H,Mcnair Jytte Brender,Dennis Lynnclaire Pdf

In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology. Through the definition of eleven First Principles, it offers a new perspective on dynamic, whole and sustainable systems that may serve as a template information model. This template has been applied to a set of knowledge domains for verification purposes: pre-life-evolution, human molecular genetics and biological evolution, as well as one social application on classroom management. The importance of the book comes in the following ways: The dynamics of the geometry unites all Platonic and Kepler Solids into one united structure and creates 11 unique trefoil knots. Its topology is directly related to the dynamics of the polyhedra. The Mereon Matrix is an approach to the unification of knowledge that relies on whole systems modelling. it is a framework charting the emergence of the Platonic and Kepler solids in a sequential, emergent growth process that describes a non-linear whole system, and includes a process of 'breathing' as well as multiplying ('birthing'); This dynamic/kinematic structure provides insight and a new approach to General Systems Theory and non-linear science, evolving through a new approach to polyhedral geometry. A set of 11 First Principles is derived from the structure, topology and dynamics of the Mereon Matrix, which serve well as a template information model. The Mereon Matrix is related to a large number of systems, physical, mathematical, and philosophical, and in linking these systems, provides access to new relationships among them by combining geometry with process thinking. The new perspective on systems is hypothesized as universal -- this is, applicable in all areas of science, natural and social. Such applicability has been demonstrated for applications as diverse as pre-life evolution, biological evolution and human molecular genetics, as well as a classroom management system for the educational system. Care has been taken to use images and languaging that are understandable across domains, connecting diverse disciplines, while making this complex system easily accessible. Contents: Prologues: Sustainability: Mathematical Elegance, Solid Science and Social Grace (L Dennis and L H Kauffman) Lynnclaire Dennis & R Buckminster Fuller Investigation (R W Gray) The Matrix We Call Mereon (L H Kauffman) First Things First: Building on the Known: A Quintessential Jitterbug (L Dennis, J Brender McNair, N J Woolf and L H Kauffman) Methodology (J Brender McNair and L Dennis) Philosophical Thoughts and Thinking Aloud Allowed (L Dennis) Belonging -- Education as Transformation (L Dennis) Meme, Pattern and Perspective (L Dennis, N J Woolf and L H Kauffman) Including and Beyond the Point: The Context -- Form Informing Function (L Dennis, J Brender McNair, N J Woolf and L H Kauffman) Flow and Scale (L Dennis and L H Kauffman) The Core -- Sharp Distinctions to Elegant Curves (L Dennis and L H Kauffman) Connections, Ligatures and Knots: Mereon Thoughts -- Knots and Beyond (L H Kauffman) The Mereon Trefoil -- Asymmetrical with Perfect Symmetry (L Dennis) Applying Mereon to Knowledge Domains: Exploring the Mereon Matrix (and Beyond) with the CymaScope Technology (L Dennis and P McNair) The Origin of Matter: Life, Learning and Survival (N J Woolf and L Dennis) ATCG -- An Applied Theory for Human MoleCular Genetics (J Brender McNair, P McNair,

New Horizons For Second-order Cybernetics

Author : Muller Karl H,Riegler Alexander,Umpleby Stuart A
Publisher : World Scientific
Page : 404 pages
File Size : 47,8 Mb
Release : 2017-09-15
Category : Language Arts & Disciplines
ISBN : 9789813226272

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New Horizons For Second-order Cybernetics by Muller Karl H,Riegler Alexander,Umpleby Stuart A Pdf

In almost 60 articles this book reviews the current state of second-order cybernetics and investigates which new research methods second-order cybernetics can offer to tackle wicked problems in science and in society. The contributions explore its application to both scientific fields (such as mathematics, psychology and consciousness research) and non-scientific ones (such as design theory and theater science). The book uses a pluralistic, multifaceted approach to discuss these applications: Each main article is accompanied by several commentaries and author responses, which together allow the reader to discover further perspectives than in the original article alone. This procedure shows that second-order cybernetics is already on its way to becoming an idea shared by many researchers in a variety of disciplines. Contents: Prologue: A Brief History of (Second-Order) Cybernetics (Louis H Kauffman & Stuart A Umpleb)Mapping the Varieties of Second-Order Cybernetics (Karl H Müller & Alexander Riegle)Part I: Exploring Second-Order Cybernetics and Its Fivefold Agenda: Second-Order Cybernetics as a Fundamental Revolution in Science (Stuart A Umpleby)Obstacles and Opportunities in the Future of Second-Order Cybernetics and Other Compatible Methods (Allenna Leonard)Connecting Second-Order Cybernetics' Revolution with Genetic Epistemology (Gastón Becerra)Shed the Name to Find Second-Order Success: Renaming Second-Order Cybernetics to Rescue its Essence (Michael R Lissack)Beware False Dichotomies (Peter A Cariani)Second-Order Cybernetics Needs a Unifying Methodology (Thomas R Flanagan)Viva the Fundamental Revolution! Confessions of a Case Writer (T Grandon Gill)Author's Response: Struggling to Define an Identity for Second-Order Cybernetics (Stuart A Umpleby)Cybernetics, Reflexivity and Second-Order Science (Louis H Kauffman)Remarks From a Continental Philosophy Point of View (Tatjana Schönwälder-Kuntze)Finally Understanding Eigenforms (Michael R Lissack)Eigenforms, Coherence, and the Imaginal (Arthur M Collings)Conserving the Disposition for Wonder (Kathleen Forsythe)Author's Response: Distinction, Eigenform and the Epistemology of the Imagination (Louis H Kauffman)Cybernetic Foundations for Psychology (Bernard Scott)Wielding the Cybernetic Scythe in the Blunting Undergrowth of Psychological Confusion (Vincent Kenny)To What Extent Can Second-Order Cybernetics Be a Foundation for Psychology? (Marcelo Arnold-Cathalifaud & Daniela Thumala-Dockendorff)The Importance — and the Difficulty — of Moving Beyond Linear Causality (Robert J Martin)Obstacles to Cybernetics Becoming a Conceptual Framework and Metanarrative in the Psychologies (Philip Baron)The Social and the Psychological: Conceptual Cybernetic Unification vs Disciplinary Analysis? (Eva Buchinger)Second Thoughts on Cybernetic Unifications (Tilia Stingl de Vasconcelos Guedes)Cybernetics and Synergetics as Foundations for Complex Approach Towards Complexities of Life (Lea Šugman Bohinc)Author's Response: On Becoming and Being a Cybernetician (Bernard Scott)Consciousness as Self-Description in Differences (Diana Gasparyan)On the Too Often Overlooked Complexity of the Tension between Subject and Object (Yochai Ataria)Where Is Consciousness? (Urban Kordeš)Theorizing Agents: Their Games, Hermeneutical Tools and Epistemic Resources (Konstantin Pavlov-Pinus)How

Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science-volume 3:the "Golden" Paradigm Of Modern Science: Prerequisite For The "Golden" Revolution In Mathematics,computer Science,and Theoretical Natural Sciences

Author : Alexey Stakhov
Publisher : World Scientific
Page : 244 pages
File Size : 53,6 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9789811213519

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Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science-volume 3:the "Golden" Paradigm Of Modern Science: Prerequisite For The "Golden" Revolution In Mathematics,computer Science,and Theoretical Natural Sciences by Alexey Stakhov Pdf

Volume III is the third part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

Board Games: Throughout The History And Multidimensional Spaces

Author : Kyppo Jorma
Publisher : World Scientific
Page : 344 pages
File Size : 48,7 Mb
Release : 2019-07-08
Category : Mathematics
ISBN : 9789813233546

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Board Games: Throughout The History And Multidimensional Spaces by Kyppo Jorma Pdf

In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter (Concluding remarks) offers the new generalizations of the Euler-Poincare's Characteristic, Pi and Fibonacci sequence.

Emergent Quantum Mechanics

Author : Jan Walleczek,Gerhard Grössing,Paavo Pylkkänen,Basil Hiley
Publisher : MDPI
Page : 544 pages
File Size : 41,7 Mb
Release : 2019-04-02
Category : Science
ISBN : 9783038976165

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Emergent Quantum Mechanics by Jan Walleczek,Gerhard Grössing,Paavo Pylkkänen,Basil Hiley Pdf

Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in "deeper-level" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.

Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic

Author : Alexey Stakhov
Publisher : World Scientific
Page : 331 pages
File Size : 53,9 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9789811213489

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Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 2: Algorithmic Measurement Theory, Fibonacci And Golden Arithmetic's And Ternary Mirror-symmetrical Arithmetic by Alexey Stakhov Pdf

Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.

The Geometry Of The Universe

Author : Colin Rourke
Publisher : World Scientific
Page : 274 pages
File Size : 48,9 Mb
Release : 2021-06-03
Category : Science
ISBN : 9789811233883

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The Geometry Of The Universe by Colin Rourke Pdf

Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the 'big bang' and 'black holes') discussed, often in great depth.Accordingly the book is divided into three parts:Part 1 is readable (and understandable) by anyone with a nodding acquaintance with the basic language of cosmology: events, lights paths, galaxies, black holes and so on. It covers the whole story of the book in a way as untechnical as possible given the scope of the topics covered.Part 2 covers the same ground again but with enough technical details to satisfy a reader with basic knowledge of mathematics and/or physics.Part 3 consists of appendices which are referred to in the other parts and which also contain the highly technical material omitted from Section 2.

One-cocycles And Knot Invariants

Author : Thomas Fiedler
Publisher : World Scientific
Page : 341 pages
File Size : 53,7 Mb
Release : 2023-01-04
Category : Mathematics
ISBN : 9789811263019

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One-cocycles And Knot Invariants by Thomas Fiedler Pdf

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the longitude of the knot. The combinatorial 1-cocycles are therefore lifts of the well-known Conway polynomial of knots, and they can be calculated in polynomial time. The 1-cocycles can distinguish loops consisting of knot diagrams in the moduli space up to homology. They give knot invariants when they are evaluated on canonical loops in the connected components of the moduli space. They are a first candidate for numerical knot invariants which can perhaps distinguish the orientation of knots.

Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2

Author : Gerald H Thomas
Publisher : World Scientific
Page : 852 pages
File Size : 50,7 Mb
Release : 2016-09-15
Category : Mathematics
ISBN : 9789814719940

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Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2 by Gerald H Thomas Pdf

The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory. The first volume opened up many applications that were only briefly touched on. To study the consequences of the deterministic approach in contrast to standard Bayesian approaches, the richness of applications, requires an engineering foundation and discipline, which this volume supplies. It provides a richer list of applications, such as the Prisoner's Dilemma, which extends the resonant behavior of Vol. 1 to more general time-dependent and transient behaviors.