Covariant Physics
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Covariant Physics
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Author : Moataz H. Emam
language : en
Publisher: Oxford University Press
Release Date : 2021-03-02
Covariant Physics written by Moataz H. Emam and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
Covariant Physics: From Classical Mechanics to General Relativity and Beyond endeavours to provide undergraduate students as well as self-learners with training in the fundamentals of the modern theories of spacetime, most notably the general theory of relativity as well as physics in curved spacetime backgrounds in general. This text does so with the barest of mathematical preparation. In fact, very little beyond multivariable calculus and a bit of linear algebra is assumed. Throughout this textbook, the main theme tying the various topics is the so-called principle of covariance - a fundamental symmetry of physics that one rarely encounters in undergraduate texts. The material is introduced very gradually, starting with the simplest of high school mathematics, and moving through the more intense notions of tensor calculus, geometry, and differential forms with ease. Familiar notions from classical mechanics and electrodynamics are used to increase familiarity with the advanced mathematical ideas, and to emphasize the unity of all of physics under the single principle of covariance. The mathematical and physical techniques developed in this book should allow students to perform research in various fields of theoretical physics as early as their sophomore year in college. The language the reader will learn in this book is the foundational mathematical language of many modern branches of physics, and as such should allow them to read and generally understand many modern physics papers.
Covariant Physics
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Author : Moataz H. Emam
language : en
Publisher:
Release Date : 2021
Covariant Physics written by Moataz H. Emam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Electronic books categories.
A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.
Generally Covariant Unified Field Theory
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Author : Myron W Evans
language : en
Publisher: Theschoolbook.com
Release Date : 2006-10
Generally Covariant Unified Field Theory written by Myron W Evans and has been published by Theschoolbook.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10 with Science categories.
This book is the first to describe a very successful objective unified field theory which emerged in 2003 and which is already mainstream physics -Einstein Cartan Evans (ECE)field theory.The latter completes the well known work of Einstein and Cartan, who from 1925 to 1955 sought to unify field theory in physics with the principles of general relativity.These principles are based on the need for objectivity in natural philosophy, were first suggested by Francis Bacon in the sixteenth century and developed into general relativity in about 1915.In this year, using Riemann geometry, Einstein and Hilbert independently arrived at an objective field equation for gravitation.Since then there have been many attempts to unify the 1915 gravitational theory with the other three fundamental fields: electromagnetism, the weak and strong fields. As described for the first time in this book, unification is achieved straightforwardly with the principles of standard Cartan geometry and the Evans Ansatz.The latter shows that electromagnetism is spinning spacetime, gravitation is curving spacetime and that they are unified with the structure (or master)equations of Cartan.Quantum mechanics is unified with general relativity using the Evans Lemma and wave equation.Technical appendices and charts are provided which show how all the major equations of physics are obtained from the ECE field theory and two introductory chapters describe the background mathematics from an elementary level. In this third volume, ECE theory is extended to the Sagnac effect and Faraday disc generator to show that electrodynamics is spinning space-time in general relativity.These two effects are difficult to explain with special relativity.A simplified dielectric ECE theory is developed and applied for example to cosmology.One chapter is dedicated to a convenient summary of all the details of Cartan geometry needed to develop ECE theory.The important topic of spin connection resonance (SCR)is introduced and applied to new energy and counter-gravitation.Finally wave mechanics is developed in ECE
Classical Covariant Fields
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Author : Mark Burgess
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-04
Classical Covariant Fields written by Mark Burgess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-04 with Science categories.
This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance, and relating the subject to quantum field theory. Ideal as a supplementary text for graduate courses on elementary field theory, group theory and dynamical systems. Also a valuable reference for researchers.
Covariant Electrodynamics
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Author : John M. Charap
language : en
Publisher: JHU Press
Release Date : 2011-06-01
Covariant Electrodynamics written by John M. Charap and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Science categories.
A notoriously difficult subject, covariant electrodynamics is nonetheless vital for understanding relativistic field theory. John M. Charap’s classroom-tested introduction to the mathematical foundations of the topic presents the material in an approachable manner. Charap begins with a historical overview of electrodynamics and a discussion of the preliminary mathematics one needs in order to grasp the advanced and abstract concepts underlying the theory. He walks the reader through Maxwell’s four equations, explaining how they were developed and demonstrating how they are applied. From there, Charap moves through the other components of electrodynamics, such as Lorentz transformations, tensors, and charged particle behavior. At each point, he carefully works through the mathematics, applies the concepts to simple physical systems, and provides historical context that makes clear the connections among the theories and the mathematicians responsible for developing them. A concluding chapter reviews the history of electrodynamics and points the way for independent testing of the theory. Thorough, evenly paced, and intuitive, this friendly introduction to high-level covariant electrodynamics is a handy and helpful addition to any physicist’s toolkit.
Covariant Physics
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Author : Moataz Emam
language : en
Publisher: Oxford University Press, USA
Release Date : 2021-02-21
Covariant Physics written by Moataz Emam and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-21 with Science categories.
A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.
Covariance And Gauge Invariance In Continuum Physics
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Author : Lalaonirina R. Rakotomanana
language : en
Publisher: Springer
Release Date : 2018-07-04
Covariance And Gauge Invariance In Continuum Physics written by Lalaonirina R. Rakotomanana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-04 with Science categories.
This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.
Generally Covariant Unified Field Theory
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Author : Myron Wyn Evans
language : en
Publisher: Theschoolbook.com
Release Date : 2005
Generally Covariant Unified Field Theory written by Myron Wyn Evans and has been published by Theschoolbook.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Analysis of covariance categories.
This book is the first to describe a very successful objective unified field theory which emerged in 2003 and which is already mainstream physics - Einstein Cartan Evans (ECE) field theory. The latter completes the well known work of Einstein and Cartan, who from 1925 to 1955 sought to unify field theory in physics with the principles of general relativity. These principles are based on the need for objectivity in natural philosophy, were first suggested by Francis Bacon in the sixteenth century and developed into general relativity in about 1915. In this year, using Riemann geometry, Einstein and Hilbert independently arrived at an objective field equation for gravitation. Since then there have been many attempts to unify the 1915 gravitational theory with the other three fundamental fields: electromagnetism, the weak and strong fields. As described for the first time in this book, unification is achieved straightforwardly with the principles of standard Cartan geometry and the Evans Ansatz. The latter shows that electromagnetism is spinning spacetime, gravitation is curving spacetime and that they are unified with the structure (or master) equations of Cartan. Quantum mechanics is unified with general relativity using the Evans Lemma and wave equation. Technical appendices and charts are provided which show how all the major equations of physics are obtained from the ECE field theory, and two introductory chapers describe the background mathematics from an elementary level. The mathematical structure of ECE field theory is standard Cartan geometry, also known as differential geometry. The main topics of contemporary physics are covered in individual chapters, which also describe the conditions under which ECE theory reduces to Einstein Hilbert (EH) theory, and to Maxwell Heaviside field theory in classical electrodynamics. The Dirac equation is derived as a limit of the wave equation of ECE theory. The Schrodinger and Newton equations then follow as limits of the Dirac equation. It is therefore shown that ECE field theory provides, for the first time, a structure for the objective unification of field theory in natural philosophy.
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Author : Nakanishi Noboru
language : en
Publisher: World Scientific Publishing Company
Release Date : 1990-11-27
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-27 with Science categories.
This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.
An Introduction To Covariant Quantum Mechanics
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Author : Josef Janyška
language : en
Publisher: Springer
Release Date : 2023-04-08
An Introduction To Covariant Quantum Mechanics written by Josef Janyška and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-08 with Science categories.
This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.