Geometry Relativity and the Fourth Dimension

Geometry  Relativity  and the Fourth Dimension
Author: Rudy von Bitter Rucker
Publsiher: Courier Corporation
Total Pages: 133
Release: 1977-01-01
ISBN: 9780486234007
Category: Science
Language: EN, FR, DE, ES & NL

Geometry Relativity and the Fourth Dimension Book Excerpt:

Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.

Lecture Notes on the General Theory of Relativity

Lecture Notes on the General Theory of Relativity
Author: Øyvind Grøn
Publsiher: Springer Science & Business Media
Total Pages: 258
Release: 2009-04-20
ISBN: 0387881336
Category: Science
Language: EN, FR, DE, ES & NL

Lecture Notes on the General Theory of Relativity Book Excerpt:

This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.

The Theory of Relativity

The Theory of Relativity
Author: Katie Parker
Publsiher: Marshall Cavendish
Total Pages: 48
Release: 2009-09
ISBN: 9780761443988
Category: Juvenile Nonfiction
Language: EN, FR, DE, ES & NL

The Theory of Relativity Book Excerpt:

"Provides comprehensive information on the theory of relativity and how it affects our lives today"--Provided by publisher.

Ancient Relativity

Ancient Relativity
Author: Matthew Duncombe
Publsiher: Oxford University Press
Total Pages: 288
Release: 2020-02-13
ISBN: 0192585096
Category: Philosophy
Language: EN, FR, DE, ES & NL

Ancient Relativity Book Excerpt:

Ideas about relativity underlie much ancient Greek philosophy, from Protagorean relativism, to Plato's theory of Forms, Aristotle's category scheme, and relational logic. In Ancient Relativity Matthew Duncombe explores how ancient philosophers, particularly Plato, Aristotle, the Stoics, and Sextus Empiricus, understood the phenomenon and how their theories of relativity affected, and were affected by, their broader philosophical outlooks. He argues that ancient philosophers shared a close-knit family of views referred to as 'constitutive relativity', whereby a relative is not simply linked by a relation but is constituted by it. Plato exploits this view in some key arguments concerning the Forms and the partition of the soul. Aristotle adopts the constitutive view in his discussions of relativity in Categories 7 and the Topics and retains it in Metaphysics Delta 15. Duncombe goes on to examine the role relativity plays in Stoic philosophy, especially Stoic physics and metaphysics, and the way Sextus Empiricus thinks about relativity, which does not appeal to the nature of relatives but rather to how we conceive of things as correlative.

Topics in Mathematical Physics General Relativity and Cosmology in Honor of Jerzy Pleba ski

Topics in Mathematical Physics  General Relativity  and Cosmology in Honor of Jerzy Pleba ski
Author: Hugo Garc¡a-Compe n,Bogdan Mielnik,Merced Montesinos
Publsiher: World Scientific
Total Pages: 528
Release: 2006
ISBN: 9812700471
Category: Science
Language: EN, FR, DE, ES & NL

Topics in Mathematical Physics General Relativity and Cosmology in Honor of Jerzy Pleba ski Book Excerpt:

One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Special and General Relativity

Special and General Relativity
Author: Rainer Dick
Publsiher: Morgan & Claypool Publishers
Total Pages: 150
Release: 2019-02-07
ISBN: 1643273809
Category: Science
Language: EN, FR, DE, ES & NL

Special and General Relativity Book Excerpt:

This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.

The Special Theory of Relativity

The Special Theory of Relativity
Author: Farook Rahaman
Publsiher: Springer
Total Pages: 249
Release: 2014-10-07
ISBN: 8132220803
Category: Science
Language: EN, FR, DE, ES & NL

The Special Theory of Relativity Book Excerpt:

The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.

The Road to Relativity

The Road to Relativity
Author: Hanoch Gutfreund,Jürgen Renn
Publsiher: Princeton University Press
Total Pages: 257
Release: 2017-05-09
ISBN: 0691175810
Category: Science
Language: EN, FR, DE, ES & NL

The Road to Relativity Book Excerpt:

An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.

De Sitter Invariant Special Relativity

De Sitter Invariant Special Relativity
Author: Mu-Lin Yan
Publsiher: World Scientific
Total Pages: 280
Release: 2015-06-24
ISBN: 9814618721
Category: Science
Language: EN, FR, DE, ES & NL

De Sitter Invariant Special Relativity Book Excerpt:

Einstein's Special Relativity (E-SR) is the cornerstone of physics. De Sitter invariant SR (dS/AdS-SR) is a natural extension of E-SR, hence it relates to the foundation of physics. This book provides a description to dS/AdS-SR in terms of Lagrangian-Hamiltonian formulation associated with spacetime metric of inertial reference frames. One of the outstanding features of the book is as follows: All discussions on SR are in the inertial reference frames. This is a requirement due to the first principle of SR theory. The descriptions on dS/AdS-SR in this book satisfy this principle. For the curved spacetime in dS/AdS-SR theory, it is highly non-trivial. Contents:General IntroductionOverview of Einstein's Special Relativity (E-SR)De Sitter Invariant Special RelativityDe Sitter Invariant General RelativityDynamics of Expansion of the Universe in General RelativityRelativistic Quantum Mechanics for de Sitter Invariant Special RelativityDistant Hydrogen Atom in CosmologyTemporal and Spatial Variation of the Fine Structure ConstantDe Sitter Invariance of Generally Covariant Dirac Equation Readership: Students and professionals who are interested in de Sitter and anti-de Sitter invariant Special Relativity. Key Features:This is the first book to describe dS/AdS-SR systematically and comprehensivelyThe crucial contributions to dS/AdS-SR due to Lu–Zou–Guo's work (1970's) are interpreted in detail in this book. The conceptions of dS/AdS-SR Mechanics, dS/AdS-SR Quantum Mechanics, dS/AdS-SR General Relativity, and effects of dS/AdS-SR Cosmology are introduced in the book. In the descriptions, many techniques are involvedThe author, Professor Mu-Lin Yan, is an expert in SR, GR, Black Hole Physics, and Particle Physics. He is one of the discoverers of Nieh–Yan topological identity (1982), High genus solution of Yang–Baxter equation of chiral Potts model (1987), and some unusual hadron's states (2005). He also has contributions to the calculations of entropies of black holes, and to the studies of non-perturbative QCDKeywords:De Sitter Invariant Special Relativity;Special Relativity;De Sitter Group

Relativity The Theory and Its Philosophy

Relativity  The Theory and Its Philosophy
Author: Roger B. Angel
Publsiher: Elsevier
Total Pages: 270
Release: 2014-05-20
ISBN: 1483150038
Category: Science
Language: EN, FR, DE, ES & NL

Relativity The Theory and Its Philosophy Book Excerpt:

Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus. Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relations, and functions; N-tuples, vectors, and matrices; and vector algebra and calculus. The discussion then turns to the concept of relativity and elementary foundations of Newtonian mechanics, as well as the principle of special relativity and its interpretation by means of empiricism and rationalism. Subsequent chapters focus on the status of the doctrine of conventionalism in the theory of special relativity; the commensurability of classical and relativistic mechanics; mathematical foundations of special relativistic physics; and the classical or Newtonian theory of gravitation. The principle of general covariance and its relation to the principle of general relativity are also examined. The final chapter addresses the fundamental question as to the actual information concerning the structure of spacetime that is conveyed to us through the theory of general relativity. This monograph will be of interest to students, teachers, practitioners, and researchers in physics, mathematics, and philosophy.

Evidence for Linguistic Relativity

Evidence for Linguistic Relativity
Author: Susanne Niemeier,René Dirven
Publsiher: John Benjamins Publishing
Total Pages: 240
Release: 2000-04-15
ISBN: 9027284466
Category: Language Arts & Disciplines
Language: EN, FR, DE, ES & NL

Evidence for Linguistic Relativity Book Excerpt:

This volume has arisen from the 26th International LAUD Symposium on “Humboldt and Whorf Revisited. Universal and Culture-Specific Conceptualizations in Grammar and Lexis”. While contrasting two or more languages, the papers in this volume either provide empirical evidence confirming hypotheses related to linguistic relativity, or deal with methodological issues of empirical research.These new approaches to Whorf’s hypotheses do not focus on mere theorizing but provide more and more empirical evidence gathered over the last years. They prove in a very sophisticated way that Whorf’s ideas were very lucid ones, even if Whorf’s insights were framed in a terminology which lacked the flexibility of linguistic categories developed over the last quarter of this century, especially in cognitive linguistics. To date, there is sufficient proof to claim that linguistic relativity is indeed a vital issue, and the current volume confirms a more general trend for rehabilitating Whorf’s theory complex and also offers evidence for it. It contains articles written by scholars from various fields of linguistics including phonology, psycholinguistics, language acquisition, historical linguistics, anthropological linguistics and (cross-)cultural semantics, which all contribute to a re-evaluation and partial reformulation of Whorf’s thinking.

The ABC of Relativity

The ABC of Relativity
Author: Bertrand Russell
Publsiher: Lulu Press, Inc
Total Pages: 135
Release: 2016-03-03
ISBN: 1329946170
Category: Education
Language: EN, FR, DE, ES & NL

The ABC of Relativity Book Excerpt:

Bertrand Arthur William Russell,18 May 1872–2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic and political activist. At various points in his life he considered himself a liberal, a socialist, and a pacifist. In the early 20th century, Russell led the British "revolt against idealism".He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege, colleague G. E. Moore, and his protégé Ludwig Wittgenstein. He is widely held to be one of the 20th century's premier logicians.With A. N. Whitehead he wrote Principia Mathematica, an attempt to create a logical basis for mathematics. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy". His work has had a considerable influence on logic, mathematics, set theory, linguistics, artificial intelligence, cognitive science, and philosophy, especially the philosophy of language, epistemology, and metaphysics.

General Relativity for Mathematicians

General Relativity for Mathematicians
Author: R.K. Sachs,H.-H. Wu
Publsiher: Springer Science & Business Media
Total Pages: 292
Release: 2012-12-06
ISBN: 1461299039
Category: Mathematics
Language: EN, FR, DE, ES & NL

General Relativity for Mathematicians Book Excerpt:

This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

Non Standard Relativity

Non Standard Relativity
Author: Mogens True Wegener
Publsiher: BoD – Books on Demand
Total Pages: 140
Release: 2021-06-28
ISBN: 8743031420
Category: Science
Language: EN, FR, DE, ES & NL

Non Standard Relativity Book Excerpt:

"Current physics and cosmology have left us with a confusion of empirically-derived models which do not yet combine into a coherent structure and which are most often ad hoc. Wegener is surely right in believing that the only way to tackle this problem is to go back to the foundations, and he has used skills acquired in many different disciplines to show us that a coherent solution is now within our grasp. I thoroughly enjoyed reading his book." Peter Rowlands, Physics Department, University of Liverpool.

The Britannica Guide to Relativity and Quantum Mechanics

The Britannica Guide to Relativity and Quantum Mechanics
Author: Erik Gregersen Associate Editor, Astronomy and Space Exploration
Publsiher: The Rosen Publishing Group, Inc
Total Pages: 269
Release: 2011-01-15
ISBN: 1615303308
Category: Juvenile Nonfiction
Language: EN, FR, DE, ES & NL

The Britannica Guide to Relativity and Quantum Mechanics Book Excerpt:

Explores relativity and quantum mechanics as well as the lives of those individuals who helped advance these fundamental areas of physics.

Linguistic Relativity Today

Linguistic Relativity Today
Author: Marcel Danesi
Publsiher: Routledge
Total Pages: 172
Release: 2021-03-15
ISBN: 1000318168
Category: Language Arts & Disciplines
Language: EN, FR, DE, ES & NL

Linguistic Relativity Today Book Excerpt:

This is the first textbook on the linguistic relativity hypothesis, presenting it in user-friendly language, yet analyzing all its premises in systematic ways. The hypothesis claims that there is an intrinsic interconnection between thought, language, and society. All technical terms are explained and a glossary is provided at the back of the volume. The book looks at the history and different versions of the hypothesis over the centuries, including the research paradigms and critiques that it has generated. It also describes and analyzes the relevant research designed to test its validity in various domains of language structure and use, from grammar and discourse to artificial languages and in nonverbal semiotic systems as well. Overall, this book aims to present a comprehensive overview of the hypothesis and its supporting research in a textbook fashion, with pedagogical activities in each chapter, including questions for discussion and practical exercises on specific notions associated with the hypothesis. The book also discusses the hypothesis as a foundational notion for the establishment of linguistic anthropology as a major branch of linguistics. This essential course text inspires creative, informed dialogue and debate for students of anthropology,linguistics, cultural studies, cognitive science, and psychology.

A New Perspective on Relativity

A New Perspective on Relativity
Author: Bernard H. Lavenda
Publsiher: World Scientific
Total Pages: 668
Release: 2012
ISBN: 9814340499
Category: Geometry, Non-Euclidean
Language: EN, FR, DE, ES & NL

A New Perspective on Relativity Book Excerpt:

Starting off from noneuclidean geometries, apart from the method of Einstein''s equations, this book derives and describes the phenomena of gravitation and diffraction. A historical account is presented, exposing the missing link in Einstein''s construction of the theory of general relativity: the uniformly rotating disc, together with his failure to realize, that the Beltrami metric of hyperbolic geometry with constant curvature describes exactly the uniform acceleration observed. This book also explores these questions: How does time bend? Why should gravity propagate at the speed of light? How does the expansion function of the universe relate to the absolute constant of the noneuclidean geometries? Why was the Sagnac effect ignored? Can Maxwell''s equations accommodate mass? Is there an inertia due solely to polarization? Can objects expand in elliptic geometry like they contract in hyperbolic geometry?

General Relativity for Planetary Navigation

General Relativity for Planetary Navigation
Author: James Miller,Connie J. Weeks
Publsiher: Springer Nature
Total Pages: 104
Release: 2021-08-31
ISBN: 3030775461
Category: Science
Language: EN, FR, DE, ES & NL

General Relativity for Planetary Navigation Book Excerpt:

This brief approaches General Relativity from a planetary navigation perspective, delving into the unconventional mathematical methods required to produce computer software for space missions. It provides a derivation of the Einstein field equations and describes experiments performed on the Near Earth Asteroid Rendezvous mission, spanning General Relativity Theory from the fundamental assumptions to experimental verification. The software used for planetary missions is derived from mathematics that use matrix notation. An alternative is to use Einstein summation notation, which enables the mathematics to be presented in a compact form but makes the geometry difficult to understand. In this book, the relationship of matrix notation to summation notation is shown. The purpose is to enable the reader to derive the mathematics used in the software in either matrix notation or summation notation. This brief is a useful tool for advanced students and young professionals embarking on careers in planetary navigation.

From Special Relativity to Feynman Diagrams

From Special Relativity to Feynman Diagrams
Author: Riccardo D'Auria,Mario Trigiante
Publsiher: Springer
Total Pages: 601
Release: 2015-10-06
ISBN: 3319220144
Category: Science
Language: EN, FR, DE, ES & NL

From Special Relativity to Feynman Diagrams Book Excerpt:

This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.

Cosmological Special Relativity

Cosmological Special Relativity
Author: Moshe Carmeli
Publsiher: World Scientific
Total Pages: 132
Release: 1997-09-15
ISBN: 9814497614
Category: Science
Language: EN, FR, DE, ES & NL

Cosmological Special Relativity Book Excerpt:

This book deals with special relativity theory and its application to cosmology. It presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The book will be of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians. Contents:Cosmological Special RelativityExtension of the Lorentz Group to CosmologyFundamentals of Einstein's Special RelativityStructure of SpacetimeThe Light ConeMass, Energy and Momentum Readership: Astrophysicists, cosmologists, theoretical physicists and mathematical physicists. keywords:New Special Relativity for Cosmology;Present-Day Cosmology;Cosmological Transformation;The Lorentz Group in Cosmology;Postulates of Special Relativity;Lorentz Transformation;Structure of Spacetime;Velocity and Acceleration Four-Vectors;The Light Cone;The Galaxy Cone;Energy-Momentum Four-Vector “The book is written in a very clear and pedagogical way, and emphasis is placed on conceptual rather than on formal developments. Some of its chapters constitute in their own right an excellent introductory text on special relativity.” Mathematical Reviews