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.”—ScienceThe 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. Read more

Instant New York Times best sellerAs you listen to 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 20th-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 audiobook, 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. Read more

From the New York Times best-selling author of Seven Brief Lessons on Physics, The Order of Time, and Helgoland, a closer look at the mind-bending nature of the Universe.What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? Theoretical physicist Carlo Rovelli has spent his life exploring these questions. He tells us how our understanding of reality has changed over the centuries and how physicists think about the structure of the Universe today.In elegant and accessible prose, Rovelli takes us on a wondrous journey from Democritus to Albert Einstein, from Michael Faraday to gravitational waves, and from classical physics to his own work in quantum gravity. As he shows us how the idea of reality has evolved over time, Rovelli offers deeper explanations of the theories he introduced so concisely in Seven Brief Lessons on Physics.This audiobook culminates in a lucid overview of quantum gravity, the field of research that explores the quantum nature of space and time, seeking to unify quantum mechanics, and general relativity. Rovelli invites us to imagine a marvelous world where space breaks up into tiny grains, time disappears at the smallest scales, and black holes are waiting to explode - a vast universe still largely undiscovered. Read more

“The man who makes physics sexy . . . the scientist they’re calling the next Stephen Hawking.” —The Times MagazineFrom the New York Times–bestselling author of Seven Brief Lessons on Physics, The Order of Time, and the forthcoming Helgoland, a closer look at the mind-bending nature of the universe.What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? In elegant and accessible prose, theoretical physicist Carlo Rovelli leads us on a wondrous journey from Democritus to Einstein, from Michael Faraday to gravitational waves, and from classical physics to his own work in quantum gravity. As he shows us how the idea of reality has evolved over time, Rovelli offers deeper explanations of the theories he introduced so concisely in Seven Brief Lessons on Physics. Rovelli invites us to imagine a marvelous world where space breaks up into tiny grains, time disappears at the smallest scales, and black holes are waiting to explode—a vast universe still largely undiscovered. Read more

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NATIONAL BESTSELLER Finalist for the Pulitzer Prize A new edition of the iconic bestseller that introduced legions to modern physics and the quest for the ultimate understanding of the cosmos, featuring a new preface and epilogue.With a rare blend of scientific insight and writing as graceful as the theories it so deftly explains, The Elegant Universe remains the unrivaled account of the modern search for the deepest laws of nature: “a standard that will be hard to beat” (George Johnson, New York Times Book Review). In this new 25th anniversary edition, renowned physicist and author Brian Greene―“the single best explainer of abstruse concepts in the world today” (Washington Post)―updates his classic work with a new preface and epilogue summarizing the significant theoretical and experimental developments over the past quarter-century. From established science, including relativity and quantum mechanics, to the cutting edge of thinking on black holes, string theory, and quantum gravity, The Elegant Universe makes some of the most sophisticated concepts ever contemplated thoroughly accessible and entertaining, bringing us closer than ever to comprehending how the universe works. Read more

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.”—ScienceThe 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. Read more

This riveting work of investigative reporting and history exposes classified government projects to build gravity-defying aircraft--which have an uncanny resemblance to flying saucers.The atomic bomb was not the only project to occupy government scientists in the 1940s. Antigravity technology, originally spearheaded by scientists in Nazi Germany, was another high priority, one that still may be in effect today. Now for the first time, a reporter with an unprecedented access to key sources in the intelligence and military communities reveals suppressed evidence that tells the story of a quest for a discovery that could prove as powerful as the A-bomb.The Hunt for Zero Point explores the scientific speculation that a "zero point" of gravity exists in the universe and can be replicated here on Earth. The pressure to be the first nation to harness gravity is immense, as it means having the ability to build military planes of unlimited speed and range, along with the most deadly weaponry the world has ever seen. The ideal shape for a gravity-defying vehicle happens to be a perfect disk, making antigravity tests a possible explanation for the numerous UFO sightings of the past 50 years.Chronicling the origins of antigravity research in the world's most advanced research facility, which was operated by the Third Reich during World War II, The Hunt for Zero Point traces U.S. involvement in the project, beginning with the recruitment of former Nazi scientists after the war. Drawn from interviews with those involved with the research and who visited labs in Europe and the United States, The Hunt for Zero Point journeys to the heart of the twentieth century's most puzzling unexplained phenomena. Read more

A “must” for the serious student of Russell science and philosophy, The Universal One is Walter Russell’s first expression of his new Cosmology explaining the Mind-centered electromagnetic universe. Russell later revised some of the content of The Universal One in The Secret of Light and A New Concept of the Universe. Students of the Russell science should be aware of the historic sequence of Walter Russell’s books of science, and note the various changes in details which Walter Russell himself made. Nikola Tesla told Walter Russell to lock his cosmology in a sepulcher for a thousand years because mankind was not ready for it . Though a century or more ahead of its time, The Universal One, uniting spiritual Cause and scientifically observable Effect in a seamless whole, is now appealing to the many people—scientists and laymen alike—who are examining the nature of science and consciousness. In this 1926 historic volume, Walter Russell first reveals the possibility of transmutation of the elements. This is a universe of Mind, a finite universe, limited as to cause, and to the effect of cause. A finite universe, in which the effects of cause are limited, must also be limited as to cause; so when that measurable cause is known, then can man comprehend and measure all effects. The effects of cause are complex and mystify man, but cause itself is simple. The universe is a multiplicity of changing effects of but One unchanging cause. All things are universal. Nothing is which is not universal. Nothing is of itself alone. Man and Mind and all creating things are universal. No man can say: ‘I alone am I.’ There is but One universe, One Mind, One force, One substance. When man knows this in measurable exactness then will he have no limitations within those which are universal.” — Walter Russell, from The Prelude to The Universal One. Part I: Creation; The Life Principle; Mind, The One Universal Substance; Thinking Mind; The Process of Thinking; Thinking Registered in Matter; Concerning Appearances; The Sex Principle; Sex Opposites of Light; The Reproductive Principle; Energy Transmission; A Finite Universe; A Dimensionless Universe; Concerning Dimension; The Formula of Locked Potentials; Universal Oneness; Omnipresence; Omnipotence; Omniscience. Part II: Dynamics of Mind & Light Units of Matter; Electricity and Magnetism; New Concepts of Electricity and Magnetism; Electricity; The Elements of Matter; The Octave Cycle of the Elements of Matter; The Instability and the Illusion of Stability of Matter; The Universal Pulse; Concerning Energy; Electro-Magnetic Pressure; Attraction and Repulsion; Gravitation and Radiation; Expressions of Gravitation and Radiation – Universal Direction; Universal Mathematics & Ratios; Charging & Discharging Poles; The Wave; Time; Temperature; Color; Universal Mechanics; Rotation; Revolution; Crystallization; Plane and Ecliptic; Ionization; Valence; Tone; Conclusion; New Laws and Principles. The Universal One contains numerous charts and diagrams. The Universal One is both an historic and present/future treasure illuminating questions about universal cosmology and philosophical considerations of the nature of the universe. Read more

“The man who makes physics sexy . . . the scientist they’re calling the next Stephen Hawking.” —The Times MagazineFrom the New York Times–bestselling author of Seven Brief Lessons on Physics, The Order of Time, Helgoland, and Anaximander, a closer look at the mind-bending nature of the universe.What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? Theoretical physicist Carlo Rovelli has spent his life exploring these questions. He tells us how our understanding of reality has changed over the centuries and how physicists think about the structure of the universe today. In elegant and accessible prose, Rovelli takes us on a wondrous journey from Democritus to Albert Einstein, from Michael Faraday to gravitational waves, and from classical physics to his own work in quantum gravity. As he shows us how the idea of reality has evolved over time, Rovelli offers deeper explanations of the theories he introduced so concisely in Seven Brief Lessons on Physics. This book culminates in a lucid overview of quantum gravity, the field of research that explores the quantum nature of space and time, seeking to unify quantum mechanics and general relativity. Rovelli invites us to imagine a marvelous world where space breaks up into tiny grains, time disappears at the smallest scales, and black holes are waiting to explode—a vast universe still largely undiscovered. Read more

This is the biography of a man whose story cannot be told! The Man Who Mastered Gravity is an intimate profile of Thomas Townsend Brown – a little-known scientist whose unorthodox ideas about electricity and gravity have made him the subject of decades of speculation and intrigue.Brown developed his novel concepts while serving in the U.S. Navy through the 1930s. In the first months of World War II he was abruptly discharged – despite his consirable expertise in radio, radar, and mine sweeping.Two weeks later he showed up at a top-secret aviation facility in Califoria. After that, Brown slipped behind a veil of secrecy from which he only occasionally blinks in and out of view. For example, in the 1950s, Brown formed NICAP, the first civilian organization dedicated to the study of unexplained 'aerial phenomena' (aka UFOs).Though he is sometimes dismissed as a washout or a charlatan, The Man Who Mastered Gravity addresses the equal likelihood that Townsend Brown operated at the epicenter of a global web of classified 'black' projects – effectively acting as the 'Oppenheimer' in a deeply secret realm that persists to this day.The Man Who Mastered Gravity is a cloak-and-dagger story of science and espionage, hidden technologies, forbidden romance and a secret society – all woven through pivotal events in the middle of the 20th century.Buy The Man Who Mastered Gravity today, and enjoy this epic tale of lost science, hidden power, love, danger – and ideas will take you to the edge of modern science.More info at https://ttbrown.com Read more

INSTANT NEW YORK TIMES BESTSELLERAs 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. Read more

The latest volume in the New York Times–bestselling physics series explains Einstein’s masterpiece: the general theory of relativity He taught us classical mechanics, quantum mechanics, and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, André Cabannes, returns to tackle Einstein’s general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations, and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler). An approachable yet rigorous introduction to one of the most important topics in physics, General Relativity is a must-read for anyone who wants a deeper knowledge of the universe’s real structure.   Read more

This is the biography of a man whose story cannot be told! The Man Who Mastered Gravity is an intimate profile of Thomas Townsend Brown – a little-known scientist whose unorthodox ideas about electricity and gravity have made him the subject of decades of speculation and intrigue.Brown developed his novel concepts while serving in the U.S. Navy through the 1930s. In the first months of World War II he was abruptly discharged – despite his consirable expertise in radio, radar, and mine sweeping.Two weeks later he showed up at a top-secret aviation facility in Califoria. After that, Brown slipped behind a veil of secrecy from which he only occasionally blinks in and out of view. For example, in the 1950s, Brown formed NICAP, the first civilian organization dedicated to the study of unexplained 'aerial phenomena' (aka UFOs).Though he is sometimes dismissed as a washout or a charlatan, The Man Who Mastered Gravity addresses the equal likelihood that Townsend Brown operated at the epicenter of a global web of classified 'black' projects – effectively acting as the 'Oppenheimer' in a deeply secret realm that persists to this day.The Man Who Mastered Gravity is a cloak-and-dagger story of science and espionage, hidden technologies, forbidden romance and a secret society – all woven through pivotal events in the middle of the 20th century.Buy The Man Who Mastered Gravity today, and enjoy this epic tale of lost science, hidden power, love, danger – and ideas will take you to the edge of modern science.More info at https://ttbrown.com Read more

"A thoughtful meditation on the mythic, cultural, philosophical, and, yes, scientific implications of what happens when a wet potato or a crystal vase slips from your hand." (Billy Collins)A mind-bending exploration of gravity, the universe's greatest mystery. What is gravity? Nobody knows - and just about nobody knows that nobody knows. How something so pervasive can also be so mysterious, and how that mystery can be so wholly unrecognized outside the field of physics, is one of the greatest conundrums in modern science. But as award-winning author Richard Panek shows in this groundbreaking book, gravity is a cold case that we are closer to cracking than ever - and whose very investigation has yielded untold truths about the cosmos and humanity itself. Part scientific detective story, part meta­physical romp, The Trouble with Gravity is a revelation: the first in-depth, accessible study of this ubiquitous, elusive force. Gravity and our efforts to understand it, Panek reveals, have shaped not only the world we inhabit, but also our bodies, minds, and culture. Its influence can be seen in everything from ancient fables to modern furniture, Dante’s Inferno to the pratfalls of Laurel and Hardy, bipedalism to black holes. As we approach the truth about gravity, we should also be prepared to know both our universe and our­selves as never before.Design by Martha Kennedy Read more

INSTANT NEW YORK TIMES BESTSELLERAs 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 20th 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. Read more

First published in 1973, Gravitation is a landmark graduate-level textbook that presents Einstein’s general theory of relativity and offers a rigorous, full-year course on the physics of gravitation. Upon publication, Science called it “a pedagogic masterpiece,” and it has since become a classic, considered essential reading for every serious student and researcher in the field of relativity. This authoritative text has shaped the research of generations of physicists and astronomers, and the book continues to influence the way experts think about the subject.With an emphasis on geometric interpretation, this masterful and comprehensive book introduces the theory of relativity; describes physical applications, from stars to black holes and gravitational waves; and portrays the field’s frontiers. The book also offers a unique, alternating, two-track pathway through the subject. Material focusing on basic physical ideas is designated as Track 1 and formulates an appropriate one-semester graduate-level course. The remaining Track 2 material provides a wealth of advanced topics instructors can draw on for a two-semester course, with Track 1 sections serving as prerequisites.This must-have reference for students and scholars of relativity includes a new preface by David Kaiser, reflecting on the history of the book’s publication and reception, and a new introduction by Charles Misner and Kip Thorne, discussing exciting developments in the field since the book’s original publication.The book teaches students to:Grasp the laws of physics in flat and curved spacetimePredict orders of magnitudeCalculate using the principal tools of modern geometryUnderstand Einstein's geometric framework for physicsExplore applications, including neutron stars, Schwarzschild and Kerr black holes, gravitational collapse, gravitational waves, cosmology, and so much more Read more

INSTANT NEW YORK TIMES BESTSELLERAs 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 20th 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. Read more

Unlock the Mysteries of Black Holes with a Comprehensive Mathematical ApproachDelve into the depths of black hole physics with this authoritative handbook that bridges the gap between complex theoretical concepts and practical application. Designed for students, educators, and enthusiasts alike, this guide offers an in-depth exploration of black hole mathematics, enriched with practice problems, detailed solutions, and Python code snippets.Comprehensive Coverage of Fundamental ConceptsMathematical Foundations of Spacetime: Begin with an overview of coordinate systems and reference frames essential for understanding spacetime geometry.Tensor Calculus and Differential Geometry: Master the mathematical tools required to describe the curvature of spacetime in General Relativity.Einstein's Field Equations: Delve into the core equations governing gravitation and explore their profound implications.Schwarzschild and Kerr Solutions: Examine exact solutions representing non-rotating and rotating black holes, and understand their unique properties.Black Hole Thermodynamics and Hawking Radiation: Explore the laws governing black hole thermodynamics and the quantum effects leading to black hole evaporation.Enhance Understanding with Practice ProblemsEach chapter concludes with carefully crafted problems that reinforce the material covered. Tackle real-world scenarios and complex calculations, enhancing your problem-solving skills. Detailed, step-by-step solutions are provided to ensure clarity and deepen comprehension.Apply Theory with Python Code SnippetsBring the abstract concepts to life with Python code examples that illustrate key phenomena:Simulate particle trajectories in Schwarzschild and Kerr spacetimes.Model gravitational lensing effects near massive objects.Visualize the warping of spacetime and the behavior of geodesics.These coding exercises not only solidify understanding but also provide valuable experience in computational physics.Ideal Resource for Multiple AudiencesWhether you're advancing your studies in physics and mathematics, teaching advanced concepts, or simply fascinated by the enigmatic nature of black holes, this handbook serves as an indispensable resource. Its structured approach makes complex topics accessible, without sacrificing mathematical rigor.Key Features33 Detailed Chapters covering a broad spectrum of topics in black hole mathematics and physics.Practice Problems with Solutions to test comprehension and application.Python Code Snippets for hands-on learning and visualization.Professional and Accessible Writing suitable for both academic and personal enrichment.Embark on a journey through the fascinating world of black holes and equip yourself with the mathematical knowledge to unlock their secrets. Read more

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity. Read more