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An engaging exploration of beauty in physics, with a foreword by Nobel Prize–winning physicist Roger Penrose The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics—one of the greatest chapters in the intellectual history of humankind.
Part of the Physics in a New Era series of assessments of the various branches of the field, Elementary-Particle Physics reviews progress in the field over the past 10 years and recommends actions needed to address the key questions that remain unanswered. It explains in simple terms the present picture of how matter is constructed. As physicists have probed ever deeper into the structure of matter, they have begun to explore one of the most fundamental questions that one can ask about the universe: What gives matter its mass? A new international accelerator to be built at the European laboratory CERN will begin to explore some of the mechanisms proposed to give matter its heft. The committee recommends full U.S. participation in this project as well as various other experiments and studies to be carried out now and in the longer term.
When scientists peer through a telescope at the distant stars in outer space or use a particle-accelerator to analyze the smallest components of matter, they discover that the same laws of physics govern the whole universe at all times and all places. Physicists call the eternal, ubiquitous constancy of the laws of physics symmetry. Symmetry is the basic underlying principle that defines the laws of nature and hence controls the universe. This all-important insight is one of the great conceptual breakthroughs in modern physics and is the basis of contemporary efforts to discover a grand unified theory to explain all the laws of physics. Nobel Laureate Leon M. Lederman and physicist Christopher T. Hill explain the supremely elegant concept of symmetry and all its profound ramifications to life on Earth and the universe at large in this eloquent, accessible popular science book. They not only clearly describe concepts normally reserved only for physicists and mathematicians, but they also instill an appreciation for the profound beauty of the universe’s inherent design. Central to the story of symmetry is an obscure, unpretentious, but extremely gifted German mathematician named Emmy Noether. Though still little known to the world, she impressed no less a scientist than Albert Einstein, who praised her "penetrating mathematical thinking." In some of her earliest work she proved that the law of the conservation of energy was connected to the idea of symmetry and thus laid the mathematical groundwork for what may be the most important concept of modern physics. Lederman and Hill reveal concepts about the universe, based on Noether’s work, that are largely unknown to the public and have wide-reaching implications in connection with the Big Bang, Einstein’s theory of relativity, quantum mechanics, and many other areas of physics. Through ingenious analogies and illustrations, they bring these astounding notions to life. This book will open your eyes to a universe you never knew existed.
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
Symmetry exists in realms from crystals to patterns, in external shapes of living or non-living objects, as well as in the fundamental particles and the physical laws that govern them. In fact, the search for this symmetry is the driving force for the discovery of many fundamental particles and the formulation of many physical laws. While one can not imagine a world which is absolutely symmetrical nor can one a world which is absolutely asymmetrical. These two aspects of nature are intermingled with each other inseparably. This is the basis of the existence of aperiodicity manifested in the liquid crystals and also quasi-crystals also discussed in “Crystallography and the World of Symmetry”.
Higgs Force tells the dramatic story of how physicists produced their modern understanding of the Cosmos by unlocking the secrets of matter. Physicists believe that the universe began in a state of perfect symmetry. As the universe expanded and the temperature fell, much of this symmetry was lost in an all-encompassing transformation. We see the results all around us - the evolution of a complex and dynamic universe supporting the existence of sentient life. Deep beneath the Franco-Swiss border, CERN, with the mighty Large Hadron Collider, is seeking the ultimate confirmation of these ideas - the elusive Higgs particle, known to some as the God Particle.
Is it possible to take a set of particle masses and then work backwards to find a hidden symmetry? Does the Higgs Boson have a partner particle and might that particle solve the mystery of dark matter? Can the tiny masses of neutrinos be predicted? Prime Symmetry and Particle Physics begins with the understanding that the constant π does not have to be measured in spacetime: it can be calculated from a set of real numbers. Former PhD student, George Brewer explores the idea that if this is true of π, why not of other constants? A standard model of physics predicts interactions between quantum fields when particles scatter, but 26 numbers, dimensionless constants for force strengths and the masses of elementary particles, still need to be put into that model. Brewer proposes that many of those constants can actually be calculated from a single equation and a set of integer parameters – a theory that he calls the prime symmetry model. Comparing a set of measured constants against their calculated counterparts provides good evidence for the model's validity. Brewer opens the door for readers to join a select group with information that theorists and experimentalists at the Large Hadron Collider (LHC) are yet to consider, offering them the opportunity to verify the model’s deceptively simple mathematics for themselves, simply by using an online scientific calculator. Inspired by Albert Einstein, Stephen Hawking and Sean Carroll, Prime Symmetry and Particle Physics is an essential read for all particle physics enthusiasts. The book will also appeal to readers interested in the Higgs boson events at the LHC.
Here is a detailed study of the motive forces of a yacht written in clear and accessible terms. The author has the rare gift of enabling his readers to relate the nautical phenomena with which they are so familiar to a scientific explanation of how and why these occur. The first part covers downwind sailing, upwind sailing, sails, the hull, and the dynamic motion of a yacht. Part Two is devoted to more mathematical explanations of the same phenomena for those requiring a more scientific approach.
Newly enlarged classic covers basic concepts and terminology, lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, in science, more. Solutions to problems. Expanded bibliography. 1975 edition.
