Fractal Space Time And Microphysics

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Fractal Space Time And Microphysics Towards A Theory Of Scale Relativity

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Author : Laurent Nottale
language : en
Publisher: World Scientific
Release Date : 1993-04-13

Fractal Space Time And Microphysics Towards A Theory Of Scale Relativity written by Laurent Nottale and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-13 with Science categories.

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.

Fractal Space Time And Microphysics

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Author : Laurent Nottale
language : en
Publisher: World Scientific
Release Date : 1993

Fractal Space Time And Microphysics written by Laurent Nottale and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.

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.

Scale Relativity And Fractal Space Time

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Author : Laurent Nottale
language : en
Publisher: World Scientific
Release Date : 2011

Scale Relativity And Fractal Space Time written by Laurent Nottale and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.

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.

Fractal Reviews In The Natural And Applied Sciences

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Author : M.M. Novak
language : en
Publisher: CRC Press
Release Date : 1995-08-01

Fractal Reviews In The Natural And Applied Sciences written by M.M. Novak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-01 with Mathematics categories.

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.

Scaling Fractals And Wavelets

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Author : Patrice Abry
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-01

Scaling Fractals And Wavelets written by Patrice Abry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Mathematics categories.

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.

Fractal Space Time And Cantorian Geometry In Quantum Mechanics

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Author : Mohammed S. El Naschie
language : en
Publisher:
Release Date : 1996

Fractal Space Time And Cantorian Geometry In Quantum Mechanics written by Mohammed S. El Naschie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Principles Of Quantum General Relativity

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Author : Eduard Prugovecki
language : en
Publisher: World Scientific
Release Date : 1995-01-20

Principles Of Quantum General Relativity written by Eduard Prugovecki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-20 with Science categories.

This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.

Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010

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Author : Christos H Skiadas
language : en
Publisher: World Scientific
Release Date : 2011-05-31

Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010 written by Christos H Skiadas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-31 with Science categories.

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.

Meaning Of Life And The Universe Transforming

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Author : Ho Mae-wan
language : en
Publisher: World Scientific
Release Date : 2017-01-24

Meaning Of Life And The Universe Transforming written by Ho Mae-wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-24 with Science categories.

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.

Handbook Of Applications Of Chaos Theory

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Author : Christos H. Skiadas
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Handbook Of Applications Of Chaos Theory written by Christos H. Skiadas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.

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.