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Author: Lochlainn O'Raifeartaigh
Publisher: Princeton University Press
ISBN: 0691215111
Category : Science
Languages : en
Pages :
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Book Description
During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.
Author: Lochlainn O'Raifeartaigh
Publisher: Princeton University Press
ISBN: 0691215111
Category : Science
Languages : en
Pages :
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Book Description
During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.
Author: James B. Glattfelder
Publisher: Springer
ISBN: 3030036332
Category : Science
Languages : en
Pages : 673
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Book Description
This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
Author: Katherine Brading
Publisher: Cambridge University Press
ISBN: 1139442023
Category : Science
Languages : en
Pages : 459
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Book Description
This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
Author: Silvia De Bianchi
Publisher: Springer Nature
ISBN: 3030511979
Category : Science
Languages : en
Pages : 318
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Book Description
This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world’s leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of science assess the impact of Weyl’s view on the philosophy of science. Graduate students, lecturers and researchers in the fields of history of science, theoretical physics and philosophy of science will benefit from this book by learning about the role played by Weyl’s Raum-Zeit-Materie in shaping several modern research fields, and by gaining insights into the future prospects of gauge theory in both theoretical and experimental physics. Furthermore, the book facilitates interdisciplinary exchange and conceptual innovation in tackling fundamental questions about our deepest theories of physics. Chapter “Weyl’s Raum-Zeit-Materie and the Philosophy of Science” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
Author: Ruben Aldrovandi
Publisher: Springer Science & Business Media
ISBN: 9400751435
Category : Science
Languages : en
Pages : 216
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Book Description
Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR). However, it is conceptually different. For example in GR geometry replaces the concept of force, and the trajectories are determined by geodesics. TG attributes gravitation to torsion, which accounts for gravitation by acting as a force. TG has already solved some old problems of gravitation (like the energy-momentum density of the gravitational field). The interest in TG has grown in the last few years. The book here proposed will be the first one dedicated exclusively to TG, and will include the foundations of the theory, as well as applications to specific problems to illustrate how the theory works.
Author: John Dewey
Publisher: Createspace Independent Publishing Platform
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 456
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Book Description
. Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.
Author: Henrique N Sá Earp
Publisher:
ISBN: 9788524404801
Category :
Languages : en
Pages : 190
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Book Description
This book is an introduction to gauge theory in dimensions greater than . It is organised as a reader's guide to Gang Tian's landmark article Gauge theory and calibrated geometry, I, published in the Annals of Mathematics in 2000. Tian carried out to substantial lengths the programme outlined by Simon Donaldson and Richard Thomas in their seminal paper, by extending the fundamental notion of instanton in Yang-Mills theory to higher dimensional special geometries. Moreover, his bubbling theorem relates instanton compactness to the theory of calibrated submanifolds. This work expresses our admiration for all of these key authors.The text is aimed at graduate students and advanced undergraduates, as well as specialists in other areas of Mathematics and Physics, with an interest in modern Differential Geometry. We adopt a fast-paced but self-contained exposition of the background on connections and curvature on bundles, special geometric structures, analysis on manifolds and geometric measure theory, alongside the proof of Tian's bubbling theorem. We also highlight some links with other important works in contemporary Geometry and Topology.This version was commissioned as supporting material to an advanced course by the authors at the 32 Brazilian Colloquium of Mathematics, hosted by the Institute for Pure and Applied Mathematics (IMPA) from July 29th to August 2nd, 2019.We hope that the reader will share in our enthusiasm for this beautiful and fast-evolving subject.
Author: John S. Lyons
Publisher: Springer Science & Business Media
ISBN: 0387928227
Category : Psychology
Languages : en
Pages : 233
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Book Description
Measurement in human services means one thing: how well the effort serves clients. But the data doesn’t exist in a vacuum and must be communicated clearly between provider and client, provider and management, and across systems. During the past decade, innovative communimetric measures have helped more than 50,000 professionals worldwide in health care, justice, and business settings deliver findings that enhance communication on all sides. Now, the theory and methods behind this fast-paced innovation are available in this informative volume. Communimetrics presents information in an accessible style, and its model of measurement as communication bolsters transparency and ease of interpretation without sacrificing validity or reliability. It conveys a deep appreciation for the unique position of service delivery systems at the intersection between science and management (and between quality and quantity), and shows readers how to create measures that can be used immediately to translate findings into practical action. This must-have volume offers readers the tools for understanding—and applying—this cutting-edge innovation by providing: The theoretical base for communimetrics. Practical illustrations comparing communimetrics with traditional methods. Guidelines for designing communimetric measures and evaluating their reliability and validity. Detailed examples of three widely used communimetric measures—the Child and Adolescent Needs and Strengths (CANS), the INTERMED, and the Entrepreneurial League System Assessment as well as detailed explanations for how they are used and why they work. Applications used in a range of settings, including children’s services, adult mental health, services for the aging, and business and organizational development. Communimetrics provides a wealth of real-world uses to a wide professional audience, including program evaluators, quality management professionals, enterprise managers, teachers of field research methods, and professionals involved in measurement and management design. It also makes an exceptionally useful text for program evaluation courses.
Author: Meinard Kuhlmann
Publisher: World Scientific
ISBN: 9814487333
Category : Science
Languages : en
Pages : 375
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Book Description
Quantum field theory (QFT) provides the framework for many fundamental theories in modern physics, and over the last few years there has been growing interest in its historical and philosophical foundations. This anthology on the foundations of QFT brings together 15 essays by well-known researchers in physics, the philosophy of physics, and analytic philosophy.Many of these essays were first presented as papers at the conference “Ontological Aspects of Quantum Field Theory”, held at the Zentrum für interdisziplinäre Forschung (ZiF), Bielefeld, Germany. The essays contain cutting-edge work on ontological aspects of QFT, including: the role of measurement and experimental evidence, corpuscular versus field-theoretic interpretations of QFT, the interpretation of gauge symmetry, and localization.This book is ideally suited to anyone with an interest in the foundations of quantum physics, including physicists, philosophers and historians of physics, as well as general readers interested in philosophy or science.
Author: M Blagojevic
Publisher: CRC Press
ISBN: 142003426X
Category : Science
Languages : en
Pages : 522
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Book Description
In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex
