Covariant Physics

Covariant Physics PDF Author: Moataz Emam
Publisher: Oxford University Press, USA
ISBN: 0198864892
Category : Science
Languages : en
Pages : 403

Book Description
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.

Covariant Physics

Covariant Physics PDF Author: Moataz H. Emam
Publisher: Oxford University Press
ISBN: 0192634003
Category : Science
Languages : en
Pages : 400

Book Description
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.

Classical Covariant Fields

Classical Covariant Fields PDF Author: Mark Burgess
Publisher: Cambridge University Press
ISBN: 1139432974
Category : Science
Languages : en
Pages : 555

Book Description
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 Physics

Covariant Physics PDF Author: Moataz H. Emam
Publisher:
ISBN: 9780191897313
Category : Electronic books
Languages : en
Pages : 384

Book Description
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.

Tensor Calculus for Physics

Tensor Calculus for Physics PDF Author: Dwight E. Neuenschwander
Publisher: JHU Press
ISBN: 142141564X
Category : Mathematics
Languages : en
Pages : 244

Book Description
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Generally Covariant Unified Field Theory

Generally Covariant Unified Field Theory PDF Author: Myron W Evans
Publisher: Theschoolbook.com
ISBN:
Category : Mathematics
Languages : en
Pages : 192

Book Description
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

Covariant Loop Quantum Gravity

Covariant Loop Quantum Gravity PDF Author: Carlo Rovelli
Publisher: Cambridge University Press
ISBN: 1107069629
Category : Science
Languages : en
Pages : 267

Book Description
A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.

Formal Structure of Electromagnetics

Formal Structure of Electromagnetics PDF Author: E. J. Post
Publisher: Courier Corporation
ISBN: 9780486654270
Category : Science
Languages : en
Pages : 228

Book Description
High-level, explicit treatment of the principle of general covariance as applied to electromagnetics examines the natural invariance of the Maxwell equations, general properties of the medium, nonuniformity, anisotropy and general coordinates in three-space, reciprocity and nonreciprocity, and matter-free space with a gravitational field. 1962 edition.

Einstein's Physics

Einstein's Physics PDF Author: Ta-Pei Cheng
Publisher: OUP Oxford
ISBN: 0191648760
Category : Science
Languages : en
Pages : 371

Book Description
Many regard Albert Einstein as the greatest physicist since Newton. What exactly did he do that is so important in physics? We provide an introduction to his physics at a level accessible to an undergraduate physics student. All equations are worked out in detail from the beginning. Einstein's doctoral thesis and his Brownian motion paper were decisive contributions to our understanding of matter as composed of molecules and atoms. Einstein was one of the founding fathers of quantum theory: his photon proposal through the investigation of blackbody radiation, his quantum theory of photoelectric effect and specific heat, his calculation of radiation fluctuation giving the first statement of wave-particle duality, his introduction of probability in the description of quantum radiative transitions, and finally the quantum statistics and Bose-Einstein condensation. Einstein's special theory of relativity gave us the famous E=mc2 relation and the new kinematics leading to the idea of the 4-dimensional spacetime as the arena in which physical events take place. Einstein's geometric theory of gravity, general relativity, extends Newton's theory to time-dependent and strong gravitational fields. It laid the ground work for the study of black holes and cosmology. This is a physics book with material presented in the historical context. We do not stop at Einstein's discovery, but carry the discussion onto some of the later advances: Bell's theorem, quantum field theory, gauge theories and Kaluza-Klein unification in a spacetime with an extra spatial dimension. Accessibility of the material to a modern-day reader is the goal of our presentation. Although the book is written with primarily a physics readership in mind (it can also function as a textbook), enough pedagogical support material is provided that anyone with a solid background in introductory physics can, with some effort, understand a good part of this presentation.

Covariant Electrodynamics

Covariant Electrodynamics PDF Author: John M. Charap
Publisher: JHU Press
ISBN: 1421401231
Category : Science
Languages : en
Pages : 224

Book Description
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.
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