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Inertia and Gravitation

Inertia and Gravitation PDF Author: Herbert Pfister
Publisher: Springer
ISBN: 3319150367
Category : Science
Languages : en
Pages : 180

Book Description
This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.

Inertia and Gravitation

Inertia and Gravitation PDF Author: Herbert Pfister
Publisher: Springer
ISBN: 3319150367
Category : Science
Languages : en
Pages : 180

Book Description
This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.

Gravitation and Inertia

Gravitation and Inertia PDF Author: Ignazio Ciufolini
Publisher: Princeton University Press
ISBN: 0691190194
Category : Science
Languages : en
Pages :

Book Description
Einstein's standard and battle-tested geometric theory of gravity--spacetime tells mass how to move and mass tells spacetime how to curve--is expounded in this book by Ignazio Ciufolini and John Wheeler. They give special attention to the theory's observational checks and to two of its consequences: the predicted existence of gravitomagnetism and the origin of inertia (local inertial frames) in Einstein's general relativity: inertia here arises from mass there. The authors explain the modern understanding of the link between gravitation and inertia in Einstein's theory, from the origin of inertia in some cosmological models of the universe, to the interpretation of the initial value formulation of Einstein's standard geometrodynamics; and from the devices and the methods used to determine the local inertial frames of reference, to the experiments used to detect and measure the "dragging of inertial frames of reference." In this book, Ciufolini and Wheeler emphasize present, past, and proposed tests of gravitational interaction, metric theories, and general relativity. They describe the numerous confirmations of the foundations of geometrodynamics and some proposed experiments, including space missions, to test some of its fundamental predictions--in particular gravitomagnetic field or "dragging of inertial frames" and gravitational waves.

Inertia Is Gravity

Inertia Is Gravity PDF Author: Guy Cavet Myhre
Publisher: AuthorHouse
ISBN: 1420807129
Category : Science
Languages : en
Pages : 118

Book Description
Physicists and laypersons alike, rejoice! The crumbling, 75-year-old flawed foundation of quantum-physics methodology is facing its imminent coup de grâce, to be replaced by a new, wholly-rational foundation. Myhre's essay fires the first shot, which renders current physics textbooks instantly obsolete Really! He begins with many insightful discoveries, the oldest, of which, dates from a half century ago, when he was a USAF pilot. It is about the great importance of inertia in our lives, of how it determines the size of our atoms and the rate of our aging, and of how Myhre eventually discovered that the number 137 is closely associated with inertia he speculates that the magnitude of inertial force varies throughout the Universe and that it is 137 times greater in the vicinity of the Solar System than at a location in the Universe where it is at a minimum pretty heady stuff yet, his arguments, backed by mathematical equations, are quite convincing. Later, he made the all-important discovery of the quantum attributes of elementary particles, which, when used as units of measure, make the universal physical constants literally vanish from quantum-based equations. This simplification of a main aspect of quantum physics lead Myhre to discover other, heretofore, unknown aspects of our physical environment for example: the simple, but elegant, linkage between electromagnetic and gravitational force; the realization of the beginning of a quantum-gravity model; the fine-structure constant's correct definition; the rôle of updated Planck values in determining the possible existence of an elementary particle of matter that is mediated by the graviton; new, more-rational equations about gravitational phenomena, using the quantum attributes of the hypothetical elementary particle of matter as units of measure; and many more. When Myhre retired, he decided to expose to the world the great truths about our quantum world that he has discovered over the decades. During that time, he kept most of his discoveries to himself because his family, friends, and associates, not being part of the physical community and, therefore, not in the know, would neither appreciate his discoveries nor recognize their importance. With the publication of this essay, Myhre hopes to prompt academic physicists to finalize the coup de grâce that he has begun by continuing to develop this more-coherent foundation for the methodology of quantum physics, which was impossible to achieve in the late 1920s because of the lack of sufficient knowledge at that time.

Propulsion

Propulsion PDF Author: Kazuo Matsuuchi
Publisher:
ISBN: 9781839688355
Category : Locomotion
Languages : en
Pages : 0

Book Description
Almost all animals move around frequently in space. Their aim is to walk and fly in search of food or to propagate their species. Thus, changing positions is important for creatures' survival and maintaining the environment. As such, this book examines movement with a focus on force and propulsion. Chapters cover topics including rocket engines, electric propulsion, mechanisms of force, and more.

APlusPhysics

APlusPhysics PDF Author: Dan Fullerton
Publisher: Silly Beagle Productions
ISBN: 0983563306
Category : Education
Languages : en
Pages : 300

Book Description
APlusPhysics: Your Guide to Regents Physics Essentials is a clear and concise roadmap to the entire New York State Regents Physics curriculum, preparing students for success in their high school physics class as well as review for high marks on the Regents Physics Exam. Topics covered include pre-requisite math and trigonometry; kinematics; forces; Newton's Laws of Motion, circular motion and gravity; impulse and momentum; work, energy, and power; electrostatics; electric circuits; magnetism; waves; optics; and modern physics. Featuring more than five hundred questions from past Regents exams with worked out solutions and detailed illustrations, this book is integrated with the APlusPhysics.com website, which includes online question and answer forums, videos, animations, and supplemental problems to help you master Regents Physics essentials. "The best physics books are the ones kids will actually read." Advance Praise for APlusPhysics Regents Physics Essentials: "Very well written... simple, clear engaging and accessible. You hit a grand slam with this review book." -- Anthony, NY Regents Physics Teacher. "Does a great job giving students what they need to know. The value provided is amazing." -- Tom, NY Regents Physics Teacher. "This was tremendous preparation for my physics test. I love the detailed problem solutions." -- Jenny, NY Regents Physics Student. "Regents Physics Essentials has all the information you could ever need and is much easier to understand than many other textbooks... it is an excellent review tool and is truly written for students." -- Cat, NY Regents Physics Student

Mathematical Foundation of the General Theory of Relativity

Mathematical Foundation of the General Theory of Relativity PDF Author: Albert Einstein
Publisher: Blurb
ISBN: 9781006727146
Category :
Languages : en
Pages : 96

Book Description
The theory which is sketched in the following pages forms the most wide-going generalization conceivable of what is at present known as "the theory of Relativity;" this latter theory I differentiate from the former "Special Relativity theory," and suppose it to be known. The generalization of the Relativity theory has been made much easier through the form given to the special Relativity theory by Minkowski, which mathematician was the first to recognize clearly the formal equivalence of the space like and time-like co-ordinates, and who made use of it in the building up of the theory. The mathematical apparatus useful for the general relativity theory, lay already complete in the "Absolute Differential Calculus", which were based on the researches of GAUSS, RIEMANN and CHRISTOFFEL on the non-Euclidean manifold, and which have been shaped into a system by RICCI and LEVI-CIVITA, and already applied to the problems of theoretical physics. I have in part B of this communication developed in the simplest and clearest manner, all the supposed mathematical auxiliaries, not known to Physicists, which will be useful for our purpose, so that, a study of the mathematical literature is not necessary for an understanding of this paper. Finally in this place I thank my friend GROSSMANN, by whose help I was not only spared the study of the mathematical literature pertinent to this subject, but who also aided me in the researches on the field equations of gravitation.

Inertia and Gravitation

Inertia and Gravitation PDF Author: Vesselin Petkov
Publisher: Minkowski Institute Press
ISBN: 098798716X
Category : Inertia (Mechanics)
Languages : en
Pages : 150

Book Description
This book fills a gap in the literature. So far there has been no book which deals with inertia and gravitation by explicitly addressing open questions and issues which have been hampering the proper understanding of these phenomena. The book places a strong emphasis on the physical understanding of the main aspects and features of inertia and gravitation. It discusses questions such as: Are inertial forces fictitious or real? Does Minkowski's four-dimensional formulation of special relativity provide an insight into the origin of inertia? Does mass increase relativistically? Why is the inertial mass equivalent to the gravitational mass? Are gravitational phenomena caused by gravitational interaction according to general relativity? Is there gravitational energy? Do gravitational waves carry gravitational energy? Can gravity be quantized?

The Meaning of Relativity

The Meaning of Relativity PDF Author: Albert Einstein
Publisher: Princeton University Press
ISBN: 1400851874
Category : Science
Languages : en
Pages : 201

Book Description
In 1921, five years after the appearance of his comprehensive paper on general relativity and twelve years before he left Europe permanently to join the Institute for Advanced Study, Albert Einstein visited Princeton University, where he delivered the Stafford Little Lectures for that year. These four lectures constituted an overview of his then-controversial theory of relativity. Princeton University Press made the lectures available under the title The Meaning of Relativity, the first book by Einstein to be produced by an American publisher. As subsequent editions were brought out by the Press, Einstein included new material amplifying the theory. A revised version of the appendix "Relativistic Theory of the Non-Symmetric Field," added to the posthumous edition of 1956, was Einstein's last scientific paper.

College Physics for AP® Courses

College Physics for AP® Courses PDF Author: Irina Lyublinskaya
Publisher:
ISBN: 9781680920765
Category : Science
Languages : en
Pages : 876

Book Description
The College Physics for AP(R) Courses text is designed to engage students in their exploration of physics and help them apply these concepts to the Advanced Placement(R) test. This book is Learning List-approved for AP(R) Physics courses. The text and images in this book are grayscale.

Mass and Motion in General Relativity

Mass and Motion in General Relativity PDF Author: Luc Blanchet
Publisher: Springer Science & Business Media
ISBN: 9048130158
Category : Science
Languages : en
Pages : 634

Book Description
From the infinitesimal scale of particle physics to the cosmic scale of the universe, research is concerned with the nature of mass. While there have been spectacular advances in physics during the past century, mass still remains a mysterious entity at the forefront of current research. Our current perspective on gravitation has arisen over millennia, through the contemplation of falling apples, lift thought experiments and notions of stars spiraling into black holes. In this volume, the world’s leading scientists offer a multifaceted approach to mass by giving a concise and introductory presentation based on insights from their respective fields of research on gravity. The main theme is mass and its motion within general relativity and other theories of gravity, particularly for compact bodies. Within this framework, all articles are tied together coherently, covering post-Newtonian and related methods as well as the self-force approach to the analysis of motion in curved space-time, closing with an overview of the historical development and a snapshot on the actual state of the art. All contributions reflect the fundamental role of mass in physics, from issues related to Newton’s laws, to the effect of self-force and radiation reaction within theories of gravitation, to the role of the Higgs boson in modern physics. High-precision measurements are described in detail, modified theories of gravity reproducing experimental data are investigated as alternatives to dark matter, and the fundamental problem of reconciling any theory of gravity with the physics of quantum fields is addressed. Auxiliary chapters set the framework for theoretical contributions within the broader context of experimental physics. The book is based upon the lectures of the CNRS School on Mass held in Orléans, France, in June 2008. All contributions have been anonymously refereed and, with the cooperation of the authors, revised by the editors to ensure overall consistency.