space time reference systems

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Space Time Reference Systems

Author : Michael Soffel
ISBN : 9783642302251
Genre : Science
File Size : 26. 86 MB
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The high accuracy of modern astronomical spatial-temporal reference systems has made them considerably complex. This book offers a comprehensive overview of such systems. It begins with a discussion of ‘The Problem of Time’, including recent developments in the art of clock making (e.g., optical clocks) and various time scales. The authors address the definitions and realization of spatial coordinates by reference to remote celestial objects such as quasars. After an extensive treatment of classical equinox-based coordinates, new paradigms for setting up a celestial reference system are introduced that no longer refer to the translational and rotational motion of the Earth. The role of relativity in the definition and realization of such systems is clarified. The topics presented in this book are complemented by exercises (with solutions). The authors offer a series of files, written in Maple, a standard computer algebra system, to help readers get a feel for the various models and orders of magnitude. Beyond astrometry, the main fields of application of high-precision astronomical spatial-temporal reference systems and frames are navigation (GPS, interplanetary spacecraft navigation) and global geodynamics, which provide a high-precision Celestial Reference System and its link to any terrestrial spatial-temporal reference system. Mankind’s urgent environmental questions can only be answered in the context of appropriate reference systems in which both aspects, space and time, are realized with a sufficiently high level of accuracy. This book addresses all those interested in high-precision reference systems and the various techniques (GPS, Very Long Baseline Interferometry, Satellite Laser Ranging, Lunar Laser Ranging) necessary for their realization, including the production and dissemination of time signals.

Relativity In Rotating Frames

Author : Guido Rizzi
ISBN : 9789401705288
Genre : Science
File Size : 47. 64 MB
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Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Einstein S Space Time

Author : Rafael Ferraro
ISBN : 9780387699462
Genre : Science
File Size : 51. 21 MB
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This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.

The Theory Of Space Time And Gravitation

Author : V. Fock
ISBN : 9781483184906
Genre : Science
File Size : 45. 46 MB
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The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Reference Frames

Author : Jean Kovalevsky
ISBN : 9789400909335
Genre : Science
File Size : 61. 52 MB
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This book on reference systems is the first comprehensive review of the problem of celestial and terrestrial reference systems and frames. Over 20 years, the importance of this problem emerged slowly as the accuracy of new observational techniques improved. The topic has already been approached in several symposia such as Stresa (1967), Morioka (1971), Perth (1973), Columbus (1975, 1978 and 1985), Kiev (1977) and San Fernando (1978). Two IAU colloquia held in Turin (1974) and in Warsaw (1980) were exclusively devoted to discuss reference systems. During this time, the problem of terrestrial and celestial reference systems has been discussed also in many astronomical and geodetic symposia, but always among other topics. Thus, a review devoted solely to the definition and practical realization of such systems was needed. It is hoped that this book, containing modern comprehensive reviews of important facets of this problem will contribute not only to a better and wider understanding of the mathematics and the physics that are behind the concepts and the realizations, but also to future development in a field that can only expand with the rapidly increasing accuracy of geodetic and astronomical observations. We are pleased to thank all the authors of the book who have enthusiastically agreed to contribute to the book in their field of competence and have gracefully accepted guidance from the editors in the definition of the subject and of the interfaces with other chapters. We thank Prof. Y.

Space Time And Number In The Brain

Author : Stanislas Dehaene
ISBN : 9780123859495
Genre : Medical
File Size : 47. 68 MB
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The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Quantum Big Bang Cosmology

Author : Stephen Blaha
ISBN : 9780974695815
Genre : Science
File Size : 89. 62 MB
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A highly technical book describing a new Cosmology for the Beginning of the Universe as well as diverse related topics such as Quantum Field Theory, Tachyons, Quantum Coordinates and Dimensions, Inflationary Cosmology, complex space-time, complex General Relativity, the dodecahedral shape of the universe and so on. The intended audience is cosmologists, physicists, mathematical physicists, mathematicians, and graduate students in those areas.

Reference Systems And Inertia

Author : Beryl E. Clotfelter
ISBN : UOM:39015042129273
Genre : Science
File Size : 47. 45 MB
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Physical Systems

Author : Ori Belkind
ISBN : 9400723733
Genre : Science
File Size : 90. 17 MB
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Based on the concept of a physical system, this book offers a new philosophical interpretation of classical mechanics and the Special Theory of Relativity. According to Belkind’s view the role of physical theory is to describe the motions of the parts of a physical system in relation to the motions of the whole. This approach provides a new perspective into the foundations of physical theory, where motions of parts and wholes of physical systems are taken to be fundamental, prior to spacetime, material properties and laws of motion. He defends this claim with a constructive project, deriving basic aspects of classical theories from the motions of parts and wholes. This exciting project will challenge readers to reevaluate how they understand the structure of the physical world in which we live.

Einstein Studies In Russia

Author : Yuri Balashov
ISBN : 0817642633
Genre : Medical
File Size : 75. 3 MB
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This volume offers a selection of the best contributions by Russian scholars--historians and philosophers of science--to the Einstein Studies industry, broadly construed. Most of the papers included here were first published in Russian in the 'Einshteinovskiy Sbornik' series (Einstein Studies), the first of its kind, and initiated in 1966 by Nobel Prize winner Igor Tamm. From 1966-1990, fourteen volumes of the 'Sbornik' were published by Nauka, the chief academic publisher in the former Soviet Union. The book explores such topics as the historical and foundational issues in general relativity and relativistic cosmology, Einstein's contributions to quantum theory of radiation, and the rise of Dirac's quantum electrodynamics. The volume also includes a detailed description of the physics colloquium Einstein established and coordinated in 1912-1914 in Zurich. The contributors draw extensively on documentation previously unavailable to most scholars. Thus the materials from various Russian archives shed new light on the famous exchange (regarding the first evolutionary cosmological models) between Einstein and Aleksandr Friedmann in the early 1920s and on the role of Boris Podolsky and Vladimir Fock in the emergence of quantum electrodynamics. The little- known correspondence between Einstein and a famous German pilot Paul Ehrhardt suggests that, during World War I, Einstein was involved with aero- and hydrodynamics and thought about ways of improving airfoil design. Other articles discuss new approaches to important questions in the foundations of general relativity and cosmology. Historians, philosophers, and sociologists of science should be prepared to find much new and unexpected material in this engaging volume presenting the best of the recent Russian scholarship in the field. The book will be accessible to the general reader as well.

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