Fractal Space Time And Cantorian Geometry In Quantum Mechanics
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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.
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.
Quantum Mechanics In The Geometry Of Space Time
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Author : Roger Boudet
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-13
Quantum Mechanics In The Geometry Of Space Time written by Roger Boudet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-13 with Science categories.
This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number i” in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered. The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.
Space Time Geometry And Quantum Events
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Author : Ignazio Licata
language : en
Publisher: Nova Science Publishers
Release Date : 2014
Space Time Geometry And Quantum Events written by Ignazio Licata and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Geometric quantization categories.
It is well-known that the fundamental problem in contemporary theoretical physics is the "pacific coexistence" between General Relativity and Quantum Mechanics. The scenarios of the explorable relationships between classical space-time and quantum land are various: the geometrodynamic one (by a proper extension of geometry), the stochastic fractal one (defining a middle land mediated by QFT-like hypotheses), the emergent one (from a physical viewpoint, by the collective behaviours of discrete entities, which mathematically means that the geometry derives from an algebraic structure of events).This anthology includes some of the most significant voices on the problem of the possible relations between the space-time dynamics and the quantum networks of events.
Quest For A Unified Theory
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Author : Wolfgang Hofkirchner
language : en
Publisher: Routledge
Release Date : 2013-10-15
Quest For A Unified Theory written by Wolfgang Hofkirchner and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Business & Economics categories.
First published in 1999. Volume 13 in the 13-volume set titled World Futures General Evolution Studies with a common focus of the emerging field of general evolutionary theory. This volume will expand across disciplines where scholars from new fields will contribute books that propose general evolution theory in novel contexts. The essays are structured with five topics: Approaches to Unification; Concepts of Information; Self-Organizing Systems; Life and Consciousness; Society and Technology.
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.
Physics Implications Of A New 1st Order Pde
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Author : David J Maker
language : en
Publisher: AuthorHouse
Release Date : 2012-03
Physics Implications Of A New 1st Order Pde written by David J Maker and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03 with Science categories.
A New Look at Our Universe! This will revolutionize the way we think, the way we work, and the way we live. This is a game-changer for science. More than 80 years ago, the flat space (Minkowski metric) Dirac equation was derived. But we know space is not flat; indeed there are forces! To compensate for such a fundamental mistake of dropping force (i.e., the curved space metric term) many gauges, free parameters and renormalization must be fudge factored in.Theoretical physics has thereby become confusing and permanently off track. In this book we correct this mistake by NOT arbitrarily dropping this term. We thereby include the general covariance in the Dirac equation and so naturally introduce force. Here the general covariance is provided by a new spherically symmetric nonMinkowski metric kij (with koo=1-r_H/r, with r_H=2e^2/(m_e(c^2)). This corrects the original math mistake and so puts theoretical physics back on track resulting in breakthrough physics propulsion, breakthrough energy ideas and a much deeper, clearer understanding of our physical universe. Dirac himself in the last paragraph of his last published paper urged physicists to fix his equation. They wouldn't do it, the gauges and free parameters remain, and so theoretical physics is at a dead end; fundamental science, our future, is at a dead end. In this book, you will see the math mistake, undo it, and begin to solve riddles in science that have plagued mankind for more than 80 years.
Stochastic Quantum Mechanics And Quantum Spacetime
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Author : Margaret Prugovecki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Quantum Mechanics And Quantum Spacetime written by Margaret Prugovecki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The principal intent of this monograph is to present in a systematic and self-con tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.
A Statistical Theory Of Gravitating Body Formation In Extrasolar Systems
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Author : Alexander Krot
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-02-22
A Statistical Theory Of Gravitating Body Formation In Extrasolar Systems written by Alexander Krot and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-22 with Science categories.
This book develops the statistical mechanics of the formation of gravitating cosmogonical bodies in the investigation of our solar system and other exoplanetary systems. The first part of the text acquaints the reader with the developing statistical theory of gravitating cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics are proposed, while well-known problems of gravitational condensation of infinite distributed cosmic substances are solved on the basis of the proposed statistical model of spheroidal bodies. The second section of the book details theoretical and practical approaches to investigating the solar system and other exoplanetary systems. In particular, it considers a new universal stellar law (USL) for extrasolar planetary systems connecting the temperature, the size and the mass of each star. Within the framework of the developed statistical theory, a new law (generalizing the famous law of O. Schmidt) for the distribution of planetary in the solar system is also provided.
Quantum Fluctuations Of Spacetime
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Author : Lawrence B. Crowell
language : en
Publisher: World Scientific
Release Date : 2005
Quantum Fluctuations Of Spacetime written by Lawrence B. Crowell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.