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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:
Release Date : 1992

Fractal Space Time And Microphysics written by Laurent Nottale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Fractals categories.

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.

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 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.

Scale Relativity And Fractal Space Time A New Approach To Unifying Relativity And Quantum Mechanics

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Author : Laurent Nottale
language : en
Publisher: World Scientific
Release Date : 2011-06-17

Scale Relativity And Fractal Space Time A New Approach To Unifying Relativity And Quantum Mechanics 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 2011-06-17 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.

The Large Scale Structure Of The Universe

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Author : P. J. E. Peebles
language : en
Publisher: Princeton University Press
Release Date : 2020-09-15

The Large Scale Structure Of The Universe written by P. J. E. Peebles and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Science categories.

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.

Duality Of Time

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Author : Mohamed Haj Yousef
language : en
Publisher: Mohamed Haj Yousef
Release Date : 2018-01-01

Duality Of Time written by Mohamed Haj Yousef and has been published by Mohamed Haj Yousef this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-01 with Science categories.

The Duality of Time Theory is the result of more than two decades of ceaseless investigation and searching through ancient manuscripts of concealed philosophies and mystical traditions, comparing all that with the fundamental results of modern physics and cosmology, until all the contradicting jigsaw pieces were put together into this brilliant portrait. Without the overwhelming proofs and strong confirmations that accumulated over time, it would have been impossible to pursue this long research path, as it was extremely challenging to appreciate the unfathomable secret of time and the consequences of the ongoing perpetual creation of space, that result from the Single Monad Model of the Cosmos. The complex-time geometry of the Duality of Time Theory explains how the physical dimensions of space are sequentially being re-created in the inner levels of time, which makes the outward time genuinely imaginary with respect to the inner real levels. This is easily expressed in terms of the hyperbolic split-complex numbers, that characterize the Relativistic Lorentzian Symmetry. This will have deep implications because space-time has become naturally quantized in a way that explains and unites all the three principles of Relativity, leading to full Quantum Field Theory of Gravity, as well as explaining all the other fundamental interactions in terms of the new granular space-time geometry. This ultimate unification will solve many persisting problems in physics and cosmology. The homogeneity problem, for example, will instantly cease, since the Universe, no matter how large it could be, is re-created sequentially in the inner time, so all the states are updated and synchronized before they appear in the outer level that we encounter. Furthermore, the Duality of Time does not only unify all the fundamental interactions in terms of its genuinely-complex time-time geometry, but it unifies this whole physical world with the two other even more fundamental domains of the psychical and spiritual worlds. All these three conclusive and complementary realms are constructed on the same concept of space-time geometry that together form one single absolute and perfectly symmetrical space. This particular subject is treated at length in the Third Volume of this book series - the Ultimate Symmetry, which explores how the apparent physical and metaphysical multiplicity is emerging from the absolute Oneness of Divine Presence, descending through four fundamental levels of symmetry: ultimate, hyper, super and normal. Among many other astonishing consequences, this astounding conclusion means that the psychical world is composed of atoms and molecules that are identical with the physical world except that they are evolving in orthogonal time direction. It may appear initially impossible to believe how the incorporeal worlds may have the same atomic structure as the physical world, but it is more appropriate to say that physical structures are eventually incorporeal, because they become various wave phenomena and energy interactions as soon as we dive into their microscopic level, as it is now confirmed by Quantum Field Theories. In the Duality of Time Theory, since rigid space is created sequentially in the inner time, energy may become negative, imaginary and even multidimensional, which simply means that all things in creation are various kinds of energy moments that are spreading on different intersecting dimensions of time; so not only mass and energy are equivalent, but also charge and all other physical and metaphysical entities are interconvertible types of energy, including consciousness and information.

Multifractal Theory Of Motion

$Multifractal Theory Of Motion$
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Author : Maricel Agop
language : en
Publisher: Springer Nature
Release Date : 2024-10-15

Multifractal Theory Of Motion written by Maricel Agop and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Science categories.

This book aims to present the topic of nonlinear and chaotic dynamics in a manner that is useful and beneficial to students and young researchers from various domains such as physics, mathematics, biology, or even medicine. A very important aspect of that topic is that the constraints of determinism do not imply a regular behavior or do not rely on predictability in describing the dynamics of natural systems. Exploring the evolution of natural systems has a great impact nowadays on a wide range of scientific domains. The dynamics of populations, cardiac fibrillation, communication systems, fluid flow, and atmospheric systems are just a few topics in which nonlinearity and chaos are a regular manifestation. This leads to the idea that it is necessary to find universal laws that govern these dynamics. The aforementioned variety in scientific topics is also sustained by an exponential interest in recent decades from readers in the scientific community and the non-scientific one as well. The book is devoted to the nonlinear and chaotic dynamics topic, a domain that is both trans- and multi-disciplinary and has been the focus of the scientific community in past decades.

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.

Fractal Worlds

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Author : Michael Frame
language : en
Publisher: Yale University Press
Release Date : 2016-01-01

Fractal Worlds written by Michael Frame and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-01 with Mathematics categories.

In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology

Fractal Space Time And Microphysics

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