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| sean carroll spacetime and geometry: Spacetime and Geometry Sean M. Carroll, 2019-08-08 An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications. |
| sean carroll spacetime and geometry: The Biggest Ideas in the Universe Sean Carroll, 2022-09-20 INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come. |
| sean carroll spacetime and geometry: General Relativity Robert M. Wald, 2010-05-15 Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding.—S. Chandrasekhar A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect.—L. P. Hughston, Times Higher Education Supplement Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come.—James W. York, Physics Today |
| sean carroll spacetime and geometry: Problem Book in Relativity and Gravitation Alan P. Lightman, William H. Press, Richard H. Price, Saul A. Teukolsky, 2017-09-01 An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity. |
| sean carroll spacetime and geometry: From Eternity to Here Sean Carroll, 2010-10-26 An accessible and engaging exploration of the mysteries of time. -Brian Greene, author of The Elegant Universe Twenty years ago, Stephen Hawking tried to explain time by understanding the Big Bang. Now, Sean Carroll says we need to be more ambitious. One of the leading theoretical physicists of his generation, Carroll delivers a dazzling and paradigm-shifting theory of time's arrow that embraces subjects from entropy to quantum mechanics to time travel to information theory and the meaning of life. From Eternity to Here is no less than the next step toward understanding how we came to exist, and a fantastically approachable read that will appeal to a broad audience of armchair physicists, and anyone who ponders the nature of our world. |
| sean carroll spacetime and geometry: A First Course in General Relativity Bernard Schutz, 2009-05-14 Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background. |
| sean carroll spacetime and geometry: A General Relativity Workbook Thomas A. Moore, 2015-03-06 |
| sean carroll spacetime and geometry: Spacetime and Geometry Sean Carroll, 2013-08 Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text. |
| sean carroll spacetime and geometry: Gravity James B. Hartle, 2021-06-24 Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications. |
| sean carroll spacetime and geometry: Gravity from the Ground Up Bernard Schutz, 2003-12-04 This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity. |
| sean carroll spacetime and geometry: The Particle at the End of the Universe Sean Carroll, 2013-08-27 The Higgs boson ... is the key to understanding why mass exists and how atoms are possible. After billions of dollars and decades of effort by more than six thousand researchers at the Large Hadron Collider in Switzerland--a doorway is opening into the mind-boggling world of dark matter and beyond. Caltech physicist and acclaimed writer Sean Carroll explains both the importance of the Higgs boson and the ultimately human story behind the greatest scientific achievement of our time--Publisher |
| sean carroll spacetime and geometry: The Geometry of Spacetime James J. Callahan, 2013-03-09 Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory. |
| sean carroll spacetime and geometry: The Big Picture Sean Carroll, 2016-05-10 The instant New York Times bestseller about humanity's place in the universe—and how we understand it. “Vivid...impressive....Splendidly informative.”—The New York Times “Succeeds spectacularly.”—Science “A tour de force.”—Salon Already internationally acclaimed for his elegant, lucid writing on the most challenging notions in modern physics, Sean Carroll is emerging as one of the greatest humanist thinkers of his generation as he brings his extraordinary intellect to bear not only on Higgs bosons and extra dimensions but now also on our deepest personal questions: Where are we? Who are we? Are our emotions, our beliefs, and our hopes and dreams ultimately meaningless out there in the void? Do human purpose and meaning fit into a scientific worldview? In short chapters filled with intriguing historical anecdotes, personal asides, and rigorous exposition, readers learn the difference between how the world works at the quantum level, the cosmic level, and the human level—and then how each connects to the other. Carroll's presentation of the principles that have guided the scientific revolution from Darwin and Einstein to the origins of life, consciousness, and the universe is dazzlingly unique. Carroll shows how an avalanche of discoveries in the past few hundred years has changed our world and what really matters to us. Our lives are dwarfed like never before by the immensity of space and time, but they are redeemed by our capacity to comprehend it and give it meaning. The Big Picture is an unprecedented scientific worldview, a tour de force that will sit on shelves alongside the works of Stephen Hawking, Carl Sagan, Daniel Dennett, and E. O. Wilson for years to come. |
| sean carroll spacetime and geometry: Relativity Made Relatively Easy Andrew M. Steane, 2012-10-04 This book unfolds the subject of Relativity for undergraduate students of physics. It fills a gap between introductory descriptions and texts for researchers. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible. |
| sean carroll spacetime and geometry: Relativity, Gravitation and Cosmology Ta-Pei Cheng, 2010 An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus. |
| sean carroll spacetime and geometry: Batman: Beyond the White Knight (2022) #1 Sean Murphy, 2022-03-29 A lot can change in 10 years, especially in Gotham! Batman, a.k.a. Bruce Wayne, may be behind bars, but the real criminals are still out there. Gotham Motors CEO Derek Powers has seized control of the Wayne family’s assets and is using them to transform the GTO and the city they’ve sworn to protect. Crime is down, but at what cost? A new Batman has emerged in Powers’s city, and only Bruce is fully aware of the dangers to come. It’s time to destroy the mantle for good, but he’ll need one of his forgotten sons’ help to do so. Enter Jason Todd…the first Robin?! In this thrilling sequel to the blockbuster comic book hits Batman: White Knight and Batman: Curse of the White Knight, writer/artist Sean Murphy invites the audience to go beyond the Gotham they know to discover an engrossing new take on the city and its heroes. Welcome to Neo-Gotham and the world of Beyond the White Knight! |
| sean carroll spacetime and geometry: Space Time and Gravitation Arthur Stanley Eddington, 2013-05-31 This text provides an account of various experiments, that demonstrate a simplified reality where space and time are relegated to their proper source – the observer. The principles of these experiments and theories originate from the ideas of Einstein, and this text aims to present this 'new' outlook without the need for extensive knowledge of mathematics, physics, or philosophy. This text will be of considerable use to those with a keen interest in physics, and would make for a great addition to any bookshelf. The chapters of this book include: 'The Fitzgerald Contraction', 'Relativity', 'The World of Four Dimensions', 'Fields of Force', 'Kinds of Space', 'The New Law of Gravitation and the Old Law', 'Weighing Light', 'Other Tests of The Theory', 'Momentum and Energy', etcetera. We are publishing this antiquarian book now in an affordable, modern edition - complete with a new biography of the author. |
| sean carroll spacetime and geometry: Quantum Field Theory and the Standard Model Matthew D. Schwartz, 2014 A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems. |
| sean carroll spacetime and geometry: The Singular Universe and the Reality of Time Roberto Mangabeira Unger, Lee Smolin, 2015 Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists. |
| sean carroll spacetime and geometry: Gravitation Charles W. Misner, Kip S. Thorne, John Archibald Wheeler, 2017-10-24 Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers |
| sean carroll spacetime and geometry: Introduction to Cosmology Barbara Ryden, 2017 A substantial update of this award-winning and highly regarded cosmology textbook, for advanced undergraduates in physics and astronomy. |
| sean carroll spacetime and geometry: Einstein Gravity in a Nutshell A. Zee, 2013-05-05 An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers) |
| sean carroll spacetime and geometry: Exact Space-Times in Einstein's General Relativity Jerry B. Griffiths, Jiří Podolský, 2009-10-15 Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics. |
| sean carroll spacetime and geometry: Spacetime, Geometry, Cosmology William L. Burke, 2020-12-16 Novel interpretation of the relationship between space, time, gravitation, and their cosmological implications; based on author's discovery of a value in gravitation overlooked by both Newton and Einstein. 1982 edition. |
| sean carroll spacetime and geometry: Shape Jordan Ellenberg, 2021-05-25 An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word geometrycomes from the Greek for measuring the world. If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how. |
| sean carroll spacetime and geometry: Something Deeply Hidden Sean Carroll, 2020-09-01 INSTANT NEW YORK TIMES BESTSELLER As you read these words, copies of you are being created. Sean Carroll, theoretical physicist and one of this world’s most celebrated writers on science, rewrites the history of twentieth-century physics. Already hailed as a masterpiece, Something Deeply Hidden shows for the first time that facing up to the essential puzzle of quantum mechanics utterly transforms how we think about space and time. His reconciling of quantum mechanics with Einstein’s theory of relativity changes, well, everything. Most physicists haven’t even recognized the uncomfortable truth: Physics has been in crisis since 1927. Quantum mechanics has always had obvious gaps—which have come to be simply ignored. Science popularizers keep telling us how weird it is, how impossible it is to understand. Academics discourage students from working on the dead end of quantum foundations. Putting his professional reputation on the line with this audacious yet entirely reasonable book, Carroll says that the crisis can now come to an end. We just have to accept that there is more than one of us in the universe. There are many, many Sean Carrolls. Many of every one of us. Copies of you are generated thousands of times per second. The Many-Worlds theory of quantum behavior says that every time there is a quantum event, a world splits off with everything in it the same, except in that other world the quantum event didn't happen. Step-by-step in Carroll's uniquely lucid way, he tackles the major objections to this otherworldly revelation until his case is inescapably established. Rarely does a book so fully reorganize how we think about our place in the universe. We are on the threshold of a new understanding—of where we are in the cosmos, and what we are made of. |
| sean carroll spacetime and geometry: Relativity Wolfgang Rindler, 2006-04-06 This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates. |
| sean carroll spacetime and geometry: Modern Classical Physics Kip S. Thorne, Roger D. Blandford, 2017-09-05 A groundbreaking text and reference book on twenty-first-century classical physics and its applications This first-year graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available |
| sean carroll spacetime and geometry: A Student's Guide to General Relativity Norman Gray, 2019-01-03 Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations |
| sean carroll spacetime and geometry: A Visual Introduction to Differential Forms and Calculus on Manifolds Jon Pierre Fortney, 2018-11-03 This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra. |
| sean carroll spacetime and geometry: General Relativity Michael Paul Hobson, George Efstathiou, Anthony N. Lasenby, 2006 Written for advanced undergraduate and graduate students, this is a clear mathematical introduction to Einstein's theory of general relativity and its physical applications. Concentrating on the theory's physical consequences, this approachable textbook contains over 300 exercises to illuminate and extend the discussion. |
| sean carroll spacetime and geometry: Visual Differential Geometry and Forms Tristan Needham, 2021-07-13 An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught. |
| sean carroll spacetime and geometry: No-Nonsense Quantum Field Theory Jakob Schwichtenberg, 2020-03-22 Learning quantum field theory doesn’t have to be hard What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Quantum Field Theory now exists. What will you learn from this book? Get to know all fundamental concepts — Grasp what a quantum field is, why we use propagators to describe its behavior, and how Feynman diagrams help us to make sense of field interactions. Learn to describe quantum field theory mathematically — Understand the meaning and origin of the most important equations: the Klein-Gordon equation, the Dirac equation, the Proca equation, the Maxwell equations, and the canonical commutation/anticommutation relations. Master important quantum field theory interactions — Read fully annotated, step-by-step calculations and understand the general algorithm we use to particle interactions. Get an understanding you can be proud of —Learn about advanced topics like renormalization and regularization, spontaneous symmetry breaking, the renormalization group equations, non-perturbative phenomena, and effective field models. No-Nonsense Quantum Field Theory is one the most student-friendly book on quantum field theory ever written. Here’s why. First of all, it's nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”. Each chapter, each section, and each page focuses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each equation comes from. The book ruthlessly focuses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on. Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost. |
| sean carroll spacetime and geometry: The Theoretical Minimum Leonard Susskind, George Hrabovsky, 2014-04-22 A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics Beautifully clear explanations of famously 'difficult' things, -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace. |
| sean carroll spacetime and geometry: The Universe Within Neil Turok, 2012-09-05 “With [The Universe Within’s] deeply thoughtful reflections on the place of science in society, on the need to educate the underserved, and on plenty of other topics rarely addressed in this sort of book, Turok takes you where no physicist has gone before. It’s well worth making the journey with him.” — TIME Magazine Winner of the Lane Anderson Award, longlisted for the Charles Taylor Prize, shortlisted for the Libris Award for Non-Fiction and selected as an Amazon.ca Best Book The most anticipated nonfiction book of the season, this year's Massey Lectures is a visionary look at the way the human mind can shape the future by world-renowned physicist Neil Turok. Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal, visionary, and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress. Elegantly written, deeply provocative, and highly inspirational, The Universe Within is, above all, about the future -- of science, of society, of ourselves. |
| sean carroll spacetime and geometry: A Relativist's Toolkit Eric Poisson, 2004-05-06 This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field. |
| sean carroll spacetime and geometry: Special Relativity and Classical Field Theory Leonard Susskind, Art Friedman, 2017-09-26 The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths. |
| sean carroll spacetime and geometry: Manifolds, Tensors and Forms Paul Renteln, 2014 Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences. |
| sean carroll spacetime and geometry: Foundations of Quantum Gravity James Lindesay, 2013-05-16 Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics. |
| sean carroll spacetime and geometry: God and Cosmology William Lane Craig, Sean Carroll, 2016-04-01 The question of God and cosmology is far from abstract. In fact, the subject raises the deepest questions of human existence: “Why is there something rather than nothing?” Or, to put it more personally, “Why am I here?” Structured as a debate, the 2014 Greer-Heard Forum focused on the issue of God and cosmology and its impact on life and self-understanding. Christian philosopher William Lane Craig and atheist cosmologist Sean Carroll presented their views before a packed crowd of more than nine hundred people. Spirited, civil, and often humorous, the debate highlighted not only their positions, but the full range of possibilities. In this volume, the content of that debate is reprinted and supplemented by a range of reflections by other conference presenters. The purpose of the Greer-Heard Point-Counterpoint Forum is to provide a venue for fair-minded dialogue on subjects of importance in religion and culture. The goal is a respectful exchange of ideas, without compromise. |
Lecture Notes on General Relativity - arXiv.org
December 1997 Lecture Notes on General Relativity Sean M. Carroll 1 Special Relativity and Flat Spacetime We will begin with a whirlwind tour of special relativity (SR) and life in flat …
Carroll Spacetime And Geometry New Edition - Sean Carroll (PDF ...
Spacetime and Geometry Sean M. Carroll,2019-08-08 An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major …
A No-Nonsense Introduction to General Relativity - Sean M. Carroll
GR can be summed up in two statements: 1) Spacetime is a curved pseudo-Riemannian manifold with a metric of signature (−+++). 2) The relationship between matter and the curvature of …
Space Time And Geometry - vols.wta.org
Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how …
Sean Carroll Spacetime And Geometry - admissions.piedmont.edu
Now, Sean Carroll says we need to be more ambitious. One of the leading theoretical physicists of his generation, Carroll delivers a dazzling and paradigm-shifting theory of time's arrow that …
Lecture Notes on General Relativity - Sean M. Carroll
These notes represent approximately one semester’s worth of lectures on intro-ductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian …
Cambridge University Press 978-1-108-48839-6 — Spacetime and …
Cambridge University Press 978-1-108-48839-6 — Spacetime and Geometry Sean M. Carroll Index More Information © in this web service Cambridge University Press www ...
Spacetime And Geometry An Introduction To General
The Geometry of Spacetime James J. Callahan,2013-03-09 Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime This book looks at the ideas of …
Sean M. Carroll - 50.116.10.42
Spacetime and Geometry Sean Carroll,2013-08 Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for …
Sean Carroll Spacetime And Geometry [PDF]
dark matter and beyond Caltech physicist and acclaimed writer Sean Carroll explains both the importance of the Higgs boson and the ultimately human story behind the greatest scientific …
General Relativity - University of Cambridge
theory is simple: gravity is geometry. The effects that we attribute to the force of gravity are due to the bending and warping of spacetime, from falling cats, to orbiting spinning planets, to the …
Space Emerging from Quantum Mechanics | Sean Carroll
ChunJun Cao, Sean M. Carroll, Spyridon Michalakis We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in …
Sean Carroll Spacetime And Geometry - cie-advances.asme.org
landscapes of spacetime and geometry, inspired by Sean Carroll's insightful work. We'll explore the universe's fundamental structure, not as a series of abstract equations, but as a thrilling …
2Manifolds - Sean M. Carroll
December 1997 Lecture Notes on General Relativity Sean M. Carroll 2Manifolds After the invention of special relativity, Einstein tried for a number of years to invent a Lorentz-invariant …
LECTURE 3: SPACETIME AND GEOMETRY: AN INTRODUCTION TO …
LECTURE 3: SPACETIME AND GEOMETRY: AN INTRODUCTION TO SPECIAL RELATIVITY AS204 February 11 2008 I. The Geometry of Space You are used to dealing with vectors in …
General Relativity - University of Cambridge
Recommended Books and Resources There are many decent text books on general relativity. Here are a handful that I like: • Sean Carroll, “Spacetime and Geometry” A straightforward and …
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SPACETIME AND GEOMETRY - GBV
4.1 Physics in Curved Spacetime 151 4.2 Einstein's Equation 155 4.3 Lagrangian Formulation 159 4.4 Properties of Einstein's Equation 165 4.5 The Cosmological Constant 171 4.6 Energy …
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Sean Carroll Spacetime and Geometry Sean M. Carroll,2019-08-08 An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications. General Relativity Robert M. Wald,2010-05-15 Wald's book is clearly the first textbook on general relativity with a
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Spacetime and Geometry Sean M. Carroll,2019-08-08 An accessible introductory textbook on general relativity covering the theory s foundations mathematical formalism and major applications The Biggest Ideas in the Universe Sean Carroll,2022-09-20 INSTANT NEW YORK TIMES BESTSELLER Most appealing technical accuracy and lightness of tone ...
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Spacetime and Geometry Sean M. Carroll,2019-08-08 An accessible introductory textbook on general relativity covering the theory s foundations mathematical formalism and major applications The Biggest Ideas in the Universe Sean Carroll,2022-09-20 INSTANT NEW YORK TIMES BESTSELLER Most appealing technical accuracy and lightness of tone ...
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spacetime and geometry an introduction to general relativity Spacetime and Geometry Sean M. Carroll,2019-08-08 Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, … spacetime and geometry an introduction to general Spacetime And Geometry An
Friday, October 5, 2018 - UC Davis
1. Friday, October 5, 2018 3 Let xa(t) be a curve in spacetime.3 Then the tangent vector to the curve is ua = dxa dt.For timelike curves, uaubh ab = 1 ()t is the proper time along the curve. 4 We also know that R q p dt = Dt, which just says that the integral of dt along a curve from p to q yields the proper time interval, what a clock actually measures. We also remark that Minkowski …
General Relativity - University of Cambridge
• Sean Carroll, “Spacetime and Geometry” A straightforward and clear introduction to the subject. • Bob Wald, “General Relativity” The go-to relativity book for relativists. • Steven Weinberg, “Gravitation and Cosmology” The go-to relativity book for particle physicists. • Misner, Thorne and Wheeler, “Gravitation”
Physics As Spacetime Geometry - resources.caih.jhu.edu
Spacetime and Geometry Sean M. Carroll,2019-08-08 Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject.
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Sean Carroll Spacetime And Geometry 3 3 Spacetime and Geometry Princeton University Press Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic ...
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1Walter Burke Institute for Theoretical Physics, California Institute ...
ChunJun Cao 1,and Sean M. Carroll y 1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USA ... There has been considerable recent interest in the idea of deriving an emergent spacetime geometry from the entanglement properties of a quantum state [1{6]. Much of this work has
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Spacetime And Geometry An Introduction To General Relativity
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Carroll Spacetime And Geometry.pdf: Sean M. Carroll,. This is a draft of Chapter 1, Preliminaries. This should make it clear that the objects being discussed are not the traditional four-dimensional Riemannian objects that we learn about in Euclidean and/or Cartesian Geometry.. Jacques Herve. Spacetime and Geometry: An Introduction to General ...
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Spacetime and Geometry Sean M. Carroll,2019-08-08 An accessible introductory textbook on general relativity covering the theory s foundations mathematical formalism and major applications The Biggest Ideas in the Universe Sean Carroll,2022-09-20 INSTANT NEW YORK TIMES BESTSELLER Most appealing technical accuracy and lightness of tone ...
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