Download or read book Fractal Space time and Microphysics written by Laurent Nottale and published by World Scientific. This book was released on 1993 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.

Download or read book Scale Relativity and Fractal Space time written by Laurent Nottale and published by World Scientific. This book was released on 2011 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of the state-of-the-art in the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling quantum mechanics to be based on the principle of relativity provided this principle is extended to scale transformations of the reference system. In the framework of such a newly-generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that goes beyond and integrates the classical and the quantum regimes. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.

Download or read book Scale Relativity and Fractal Space Time written by Laurent Nottale and published by World Scientific. This book was released on 2011 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.

Download or read book Scaling Fractals and Wavelets written by Patrice Abry and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

Download or read book The Nature of Time Geometry Physics and Perception written by R. Buccheri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are very few concepts that fascinate equally a theoretical physicist studying black holes and a patient undergoing seriolls mental psychosis. Time, undoubtedly, can well be ranked among them. For the measure of time inside a black hole is no less bizarre than the perception of time by a schizophrenic, who may perceive it as completely "suspended," "standing still," or even "reversing its direction. " The nature of time is certainly shrouded in profound mystery. This, perhaps, since the concept entails multifarious, and occasionally incongruous, facets. No wonder the subject attracts the serious attention of scholars on the one hand, and of the lay public on the other. Our Advanced Research Workshop is an excellent il lustration of this point, as the reader will soon discover. It turned out to be a unique professional forum for an unusually lively, effective and fruitful exchange of ideas and beliefs among 48 participants from 20 countries worldwide, selected out of more than a hundred applicants. The present book is based on the select talks presented at the meeting, and aims to provide the interested layperson and specialist alike with a multidisciplinary sampling of the most up-to-date scholarly research on the nature of time. It represents a coherent, state-of-the-art volume showing that research relevant to this topic is necessarily interdisciplinary and does not ignore such delicate issues as "altered" states of consciousness, religion and metaphysics.

Download or read book Fractal Reviews in the Natural and Applied Sciences written by M.M. Novak and published by CRC Press. This book was released on 1995-08-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains state of the art contributions to this rapidly growing research area. It will be of essential value to mathematicians, physicists and engineers working in the fields of fractals and related phenomena and to researchers working in medicine and the life sciences.

Download or read book Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010 written by Christos H Skiadas and published by World Scientific. This book was released on 2011-05-31 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.

Download or read book Quantum Gravity written by Rodrigo Sobreiro and published by BoD – Books on Demand. This book was released on 2012-02-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unification between gravity and quantum field theory is one of the major problems in contemporary fundamental Physics. It exists for almost one century, but a final answer is yet to be found. Although string theory and loop quantum gravity have brought many answers to the quantum gravity problem, they also came with a large set of extra questions. In addition to these last two techniques, many other alternative theories have emerged along the decades. This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity. Quantum Gravity is a book where the reader will find a fine collection of physical and mathematical concepts, an up to date research, about the challenging puzzle of quantum gravity.

Download or read book Scale Invariance and Beyond written by B. Dubrulle and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.

Download or read book Frontiers of Fundamental Physics written by B. G. Sidharth and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Symposium "Frontiers of Fundamental and Computational Physics", Udine, Italy, 26-29 September 2004, aimed at providing a platform for a wide range of physicists to meet and share thoughts on the latest trends in various, mainly cross-disciplinary research areas. This includes the exploration of frontier lines in High Energy Physics, Theoretical Physics, Gravitation and Cosmology, Astrophysics, Condensed Matter Physics, Fluid Mechanics. Such frontier lines were unified by the use of computers as an, often primary, research instruments, or dealing with issues related to information theory. The book contains contributions by Nobel Laureates Leon N. Cooper (1972) and Gerard ‘t Hooft (1999), and concludes with two interesting chapters on new approaches to Physics Teaching. Audience Graduate students, lecturers and researches in Physics

Download or read book Meaning Of Life And The Universe Transforming written by Mae-wan Ho and published by World Scientific. This book was released on 2017-01-24 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of this extraordinary selection of essays, distilled from nearly a thousand works that the author has written, is literally the entire universe and universe of knowledge. It charts the author's quest for the meaning of life faced with a dominant knowledge system she regards as incoherent, meaningless, and often acting against people and planet. She shows how contemporary scientific findings across all disciplines already provide an authentic knowledge system that's coherent with life and the universe. The aim is to transform science thoroughly from inspiration to research to applications that work for people and planet.This book is simply unique in its scope and content. There is no equivalent. The author surveys and explains contemporary science in depth ranging over philosophy, anthropology, quantum physics and chemistry, neurobiology, psychology, genetics and epigenetics, cosmology, art, humanities, and mathematics. It presents a truly holistic view of nature, with profound implications for life in the social, political, and personal realm.

Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Download or read book Insight On Multifractal Dynamics Of Ns laser Produced Plasmas written by Stefan Andrei Irimiciuc and published by World Scientific. This book was released on 2023-08-22 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourteen years after the first proposal of a fractal theoretical model to understand the dynamics of laser produced plasma, a complete image of the model is projected on a wide range of empirical data related to laser produced plasmas.The book tackles the two sides of laser produced plasmas with experimental data on a wide range of materials, from metallic alloys to geological samples and the associated mathematical model is developed in the multifractal theory of motion. A new perspective is explored in analyzing and interpreting the data collected by electrical or optical methods, focusing especially on the charged particles dynamics and the nature of fractal fluctuations and their influence during measurements as well as to the scattering process and plasma splitting phenomena, all seen through the lens of multifractal physics.The book offers the best presentation of the multifractal theoretical model for the study of transient phenomena in laser produced plasmas, which focus leads to a balanced development of the model showcasing both the flexibility and the unique vision of a multifractal mathematical apparatus.

Download or read book Applying Fractals in Astronomy written by Andre HECK and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Fractal geometry addressesitselfto questions that many people have been asking themselves. It con cerns an aspect of Nature that almost everybody had been conscious of, but could not address in a formal fashion. ' 'Fractal geometry seems to be the proper language to describe the complezity of many very compli cated shapes around us. ' (Mandelbrot, 1990a) 'I believe that fractals respond to a profound un easiness in man. ' (Mandelbrot, 1990b) The catchword fractal, ever since it was coined by Mandelbrot (1975) to refer to a class of abstract mathematical objects that were already known at the turn ofthe 19th century, has found an unprecedented resonance both inside and outside the scientific community. Fractal concepts, far more than the concepts of catastrophe theory introduced a few years earlier, are currently being applied not only in the physical sciences, but also in biology and medicine (Goldberger and West 1987). In the mid-eighties, Kadanoff (1986) asked the question: 'Why all the fuss about /ractals'! '. He offered a twofold answer: in the first place, it is 'because of the practical, technological importance of fractal objects'. Indeed he emphasised the relevance of these structures for materials scientists and oil drilling engineers, in search of structures with novel properties, or models for the flow of oil through the soil. His second answer was: 'Because of the intellectual interest of fractals '.

Download or read book The Large Scale Structure of the Universe written by P. J. E. Peebles and published by Princeton University Press. This book was released on 2020-09-15 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic account of the structure and evolution of the early universe from Nobel Prize–winning physicist P. J. E. Peebles An instant landmark on its publication, The Large-Scale Structure of the Universe remains the essential introduction to this vital area of research. Written by one of the world's most esteemed theoretical cosmologists, it provides an invaluable historical introduction to the subject, and an enduring overview of key methods, statistical measures, and techniques for dealing with cosmic evolution. With characteristic clarity and insight, P. J. E. Peebles focuses on the largest known structures—galaxy clusters—weighing the empirical evidence of the nature of clustering and the theories of how it evolves in an expanding universe. A must-have reference for students and researchers alike, this edition of The Large-Scale Structure of the Universe introduces a new generation of readers to a classic text in modern cosmology.

Download or read book Fractal Analysis written by Fernando Brambila and published by BoD – Books on Demand. This book was released on 2017-07-26 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Here we present the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities. Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing. In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity. And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.

Download or read book The Relativity of All Things written by Laurent Nottale and published by . This book was released on 2019-03-28 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated into English for the first time, this brilliant French bestseller by eminent astrophysicist Laurent Nottale presents the theory of scale relativity, which offers a framework for the unification of quantum theory and relativity through fractal geometry. Updated and revised, with a new afterword by philosopher of science Charles Alunni, The Relativity of All Things is the first of Nottale's popularly accessible works available to English-language readers."To describe the ideas of relativity and quantum mechanics without a single mathematical formula is a veritable feat of magic. . . . With a philosophical audacity that only non-philosophers can possess, Nottale finds that the essence of the principle of relativity is in fact the affirmation of the existence of universal laws applied at every scale. . . . His task is enormous. He proposes that the theory of relativity and that of quantum mechanics, with the radical schism between their findings and methods of thinking, can be reconciled. . . . Nottale's methodological innovation is truly revolutionary. To bring it to fruition, he weds the mathematics of fractals with the theory of relativity. . . . Nottale's approach shows us that we are far from the 'end of science': we are perhaps only at its recommencement." Basarab Nicolescu, Business Digest"Einstein himself explicitly considered that a realistic approach to the quantum problem could go through the introduction of non-differentiability in physics. In 1948, he wrote in a letter to Wolfgang Pauli: 'Maybe someone will find out another possibility, provided he searches with enough perseverance.' Laurent Nottale is very precisely this 'someone'! Read and study this wonderful theory, let yourself be carried away by its beauty, its depth, and its major experimental implications, which are nothing less than fundamental for the future of science, and for philosophy." Charles Alunni, Director, Laboratoire Disciplinaire Pensée des Sciences at the École Normale Supérieure"Since the birth of quantum theory, physicists have been challenged with the development of a unified theory of quantum mechanics and relativity, with no general consensus on the best way forward. To progress further, we have to confront deep questions about space and time, quantum theory, and cosmology, which take theory back into contact with experiment. The theory of scale relativity offers a serious contribution to the debate on unification, offering an intuitive insight into how these theories could be fundamentally linked through space-time geometry." Philip Turner, Director, Centre for Plant Science and Biopolymer Research, Edinburgh Napier University"Laurent Nottale proposes that we look at the concept of fractals to make relativity, extended further yet, the fundamental principle on which to base quantum mechanics. After the relativity of time and space, he has tackled the relativity of scale, putting into question much of what we thought we knew." Pierre Bonnaure, Futuribles"Developments in geometry have often enabled progress in physics, especially when concerning relativity. Non-Euclidean geometry, geometrical systems where the plane is a sphere, made it possible for Einstein to devise his theory of curved space. Today, a new geometry, fractal geometry, allows us to propose a theory of fractal space." Idées clés, by Business Digest