Download or read book Fractal Space time and Microphysics written by Laurent Nottale and published by . This book was released on 1992 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Fractal Space time And Microphysics Towards A Theory Of Scale Relativity written by Laurent Nottale and published by World Scientific. This book was released on 1993-04-13 with total page 349 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 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 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 The Theory of Scale Relativity written by Laurent Nottale and published by Birkhäuser. This book was released on 2010-11-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive survey of the state-of-the-art in the development of the relativity theory of scales Transcends and integrates the classical and the quantum regimes Enables quantum mechanics to be based on the principle of relativity provided this principle is extended to scale transformations of the reference system Collects and organizes developments and applications from diverse fields for easy reference

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

Download or read book Physical Foundations of Cosmology written by Viatcheslav Mukhanov and published by Cambridge University Press. This book was released on 2005-11-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

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 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 Unfolding the Labyrinth Open Problems in Physics Mathematics Astrophysics and other areas of science written by Florentin Smarandache and published by Infinite Study. This book was released on 2006-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation.The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plausible solutions, it is merely to keep the fun of readers in discovering the answers by themselves. Bon voyage!

Download or read book Fractal Time Why A Watched Kettle Never Boils written by Susie Vrobel and published by World Scientific. This book was released on 2011-01-07 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an interdisciplinary introduction to the notion of fractal time, starting from scratch with a philosophical and perceptual puzzle. How subjective duration varies, depending on the way we embed current content into contexts, is explained.The complexity of our temporal perspective depends on the number of nestings performed, i.e. on the number of contexts taken into account. This temporal contextualization is described against the background of the notion of fractal time. Our temporal interface, the Now, is portrayed as a fractal structure which arises from the distribution of content and contexts in two dimensions: the length and the depth of time. The leitmotif of the book is the notion of simultaneity, which determines the temporal structure of our interfaces. Recent research results are described which present and discuss a number of distorted temporal perspectives. It is suggested that dynamical diseases arise from unsuccessful nesting attempts, i.e. from failed contextualization. Successful nesting, by contrast, manifests itself in a “win-win handshake” between the observer-participant and his chosen context. The answer as to why a watched kettle never boils has repercussions in many a discipline. It would be of immense interest to anyone who works in the fields of cognitive and complexity sciences, psychology and the neurosciences, social medicine, philosophy and the arts.

Download or read book Dance to the Tune of Life written by Denis Noble and published by Cambridge University Press. This book was released on 2017 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book formulates a relativistic theory of biology, challenging the common gene-centred view of organisms.

Download or read book Axial Shift written by Benjamen Gussen and published by Springer. This book was released on 2019-05-17 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses historical analysis, constitutional economics, and complexity theory to furnish an account of city subsidiarity as a legal, ethical, political, and economic principle. The book contemplates subsidiarity as a constitutional principle, where cities would benefit from much wider local autonomy. Constitutional economics suggests an optimal limit to jurisdictional footprints (territories). This entails preference for political orders where sovereignty is shared between different cities rather states where capital cities dominate. The introduction of city subsidiarity as a constitutional principle holds the key to economic prosperity in a globalizing world. Moreover, insights from complexity theory suggest subsidiarity is the only effective response to the ‘problem of scale.’ It is a fitness trait that prevents highly complex systems from collapsing. The nation-state is a highly complex system within which cities function as ‘attractors.’ The collapse of such systems would ensue if there were strong coupling between attractors. Such coupling obtains under legal monism. Only subsidiarity can make the eventuality of collapse improbable. The emergent and self-organizing properties of subsidiarity entail a shift in policy emphasis towards cities with a wide margin of autonomy.

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 1003 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.