Books on the topic 'Field equivalence principle'
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1
Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. General Relativity: A Field Theory of Gravitation. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0004.
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General relativity. The equivalence principle and the derivation of the Einstein–Hilbert equations. The geometrical notions of curvature and affine connection are introduced. Geodesics and the bending of light by a gravitational field. General relativity as a gauge invariant classical field theory.
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Mashhoon, Bahram. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0001.
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This introductory chapter is mainly about the locality postulate of the standard relativity theory. The fundamental laws of microphysics have been formulated with respect to inertial observers. However, inertial observers do not in fact exist, since actual observers are accelerated. What do accelerated observers measure? Lorentz invariance is extended to accelerated observers by assuming that they are pointwise inertial. That is, an accelerated observer at each instant is equivalent to an otherwise identical momentarily comoving inertial observer. This hypothesis of locality, which underlies the special and general theories of relativity, is described in detail. The locality postulate fits perfectly together with Einstein’s local principle of equivalence to ensure that every observer in a gravitational field is pointwise inertial. When coupled with the hypothesis of locality, Einstein’s principle of equivalence provides a physical basis for a field theory of gravitation that is consistent with local Lorentz invariance.
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Kennefick, Daniel. Three and a Half Principles: The Origins of Modern Relativity Theory. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.27.
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This article explores the origins of modern relativity theory. In his 1905 paper On the Electrodynamics of Moving Bodies, Albert Einstein directly addressed one of the largest issues of the time. Electrodynamics aims to describe the motion of charged particles (usually thought of as electrons), whose interaction through the electromagnetic field, as described by Maxwell’s equations, affects their respective motions. The problem was so complex because the electromagnetic field theory was not an action-at-a-distance theory. This article begins with an overview of the principle of relativity and of the constancy of the speed of light, followed by a discussion on the relativity of simultaneity, the mass–energy equivalence, and experimental tests of special relativity. It also examines the principle of equivalence, the concepts of spacetime curvature and general covariance, and Mach’s principle. Finally, it considers experimental predictions of general relativity.
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Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.
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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configuration, but instead under a displacement or, in the ‘passive’ version, under a translation of the coordinate grid in the opposite direction.
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Deruelle, Nathalie, and Jean-Philippe Uzan. The Nordström theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0028.
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This chapter turns to the description of the interaction of a scalar field with particles which ‘feel’—that is, ‘charged’ particles. If the field is massless, and therefore long-range, and if the particle charge corresponds to its inertial mass, we have what is known as Nordström theory, a coherent theory of gravity which, however, disagrees with experiment. Nordström theory describes gravity by means of a massless scalar field φ. According to the ‘weak equivalence principle’, gravitational masses are equal to inertial masses, m = mg. When velocities are small, the gravitational field created is also weak.
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Surowitz, Eugene J., and Engelbert L. Schucking. Einstein's Apple: Homogeneous Einstein Fields. World Scientific Publishing Co Pte Ltd, 2015.
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Einstein's Apple: Homogeneous Einstein Fields. World Scientific Publishing Co Pte Ltd, 2015.
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Mashhoon, Bahram. Nonlocal Gravity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.001.0001.
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A postulate of locality permeates through the special and general theories of relativity. First, Lorentz invariance is extended in a pointwise manner to actual, namely, accelerated observers in Minkowski spacetime. This hypothesis of locality is then employed crucially in Einstein’s local principle of equivalence to render observers pointwise inertial in a gravitational field. Field measurements are intrinsically nonlocal, however. To go beyond the locality postulate in Minkowski spacetime, the past history of the accelerated observer must be taken into account in accordance with the Bohr-Rosenfeld principle. The observer in general carries the memory of its past acceleration. The deep connection between inertia and gravitation suggests that gravity could be nonlocal as well and in nonlocal gravity the fading gravitational memory of past events must then be taken into account. Along this line of thought, a classical nonlocal generalization of Einstein’s theory of gravitation has recently been developed. In this nonlocal gravity (NLG) theory, the gravitational field is local, but satisfies a partial integro-differential field equation. A significant observational consequence of this theory is that the nonlocal aspect of gravity appears to simulate dark matter. The implications of NLG are explored in this book for gravitational lensing, gravitational radiation, the gravitational physics of the Solar System and the internal dynamics of nearby galaxies as well as clusters of galaxies. This approach is extended to nonlocal Newtonian cosmology, where the attraction of gravity fades with the expansion of the universe. Thus far only some of the consequences of NLG have been compared with observation.
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Tran, Thanh V., Tam Nguyen, and Keith Chan. Overview of Culture and Cross-Cultural Research. Oxford University Press, 2018. http://dx.doi.org/10.1093/acprof:oso/9780190496470.003.0001.
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Different academic disciplines and schools of thoughts often have different definitions and categorizations of culture. No agreement has ever been reached in defining culture. This chapter discusses the concept of culture and reviews the basic principles of multidisciplinary cross-cultural research. The readers are introduced to cross-cultural research in anthropology, psychology, political science, and sociology. These cross-cultural research fields offer social work both theoretical and methodological resources. The readers will find that all cross-cultural research fields share the same concern—that is, the equivalence of research instruments. One cannot draw meaningful comparisons of behavioral problems, social values, or psychological status between or across different cultural groups in the absence of cross-culturally equivalent research instruments. Although this book emphasizes the importance of measurement equivalence in cross-cultural social work research and evaluation, the issues of cultural sensitivity and cultural appropriateness are the foundation of all types of social work research and interventions.
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Solymar, L., D. Walsh, and R. R. A. Syms. Principles of semiconductor devices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0009.
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p–n junctions are examined initially and the potential distribution in the junction region is derived based on Poisson’s equation. Next the operation of the transistor is discussed, both in terms of the physics and of equivalent circuits. Potential distributions in metal–semiconductor junctions are derived and the concept of surface states is introduced. The physics of tunnel junctions is discussed in terms of their band structure. The properties of varactor diodes are described and the possibility of parametric amplification is touched upon. Further devices discussed are field effect transistors, charge-coupled devices, controlled rectifiers, and the Gunn effect. The fabrication of microelectronic circuits is discussed, followed by the more recent but related field of micro-electro-mechanical systems. The discipline of nanoelectronics is introduced including the role of carbon nanotubes. Finally, the effect of the development of semiconductor technology upon society is discussed.
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Wright, A. G. Voltage dividers. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199565092.003.0013.
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Voltage dividers provide accelerating voltages to generate multiplier gain. Dynode voltages must remain constant and independent of the light input to maintain stable gain. The standard resistive divider never quite satisfies this requirement, although acceptable performance can be achieved by careful design. The inclusion of zener diodes improves performance but field-effect transistor (FET) circuits can provide gain stability at high mean anode currents, regardless of whether the application is pulsed or analogue. Design procedures for active and semi-active voltage dividers are presented. Dividers based on the Cockcroft–Walton (CW) principle are particularly suited to portable instrumentation because of their low standing current. Consideration is given to pulsed operation, decoupling, switch-on transients, ripple, dynode signals, single cable dividers, and equivalent circuits at high frequencies. Gating is used to protect a photomultiplier, in the presence of high light levels, by reducing the gain electronically. Various methods for gating a voltage divider are presented.
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Pershina, K. D., and K. O. Kazdobin. Impedance spectroscopy of electrolytic materials. V.I. Vernadsky Institute of General and Inorganic Chemistry, 2012. http://dx.doi.org/10.33609/guide.2012.224.
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Electrochemical impedance spectroscopy (EIS) is playing an increasingly significant role in fundamental and applied research: to study any type of solid and liquid materials (ionic, mixed, semiconductor, and insulators), to study charge transfer in heterogeneous systems, including phase boundaries, electrode boundaries, and elements of the microstructure. With the help of EIS, it is possible to study the behavior of chemical sensors, fuel cells, batteries, and corrosion processes. The base of the method stays on the principle of exciting any electrochemical system with a signal in the form of a sinusoidal wave and observing its behavior in response to this disturbance. This is the simplest method for determining the structural and transport functions of the system under study. This is the simplest method for determining the structural and transport functions of the system under study. The book discusses the theoretical foundations of the method of impedance spectroscopy, including the method of equivalent circuits, and provides examples of the analysis of impedance spectra for real objects. The main attention is paid to the model elements of equivalent circuits, their physical base, and the use of the models in the analysis of electrochemical systems. Handbook consists of seven chapters. It has questions and tasks to self-work after each part. It is intended for students of chemical, chemical-technological, and biomedical specialties, as well as for specialists engaged in research in the field of materials science, medicine, and ecology.
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Calvert, Gemma A., Charles Spence, and Barry E. Stein, eds. The Handbook of Multisensory Processes. The MIT Press, 2004. http://dx.doi.org/10.7551/mitpress/3422.001.0001.
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A reference work for the emerging field of multisensory integration, covering multidisciplinary research that goes beyond the traditional "sense-by-sense" approach and recognizes that perception is fundamentally a multisensory experience. This landmark reference work brings together for the first time in one volume the most recent research from different areas of the emerging field of multisensory integration. After many years of using a modality-specific "sense-by-sense" approach, researchers across different disciplines in neuroscience and psychology now recognize that perception is fundamentally a multisensory experience. To understand how the brain synthesizes information from the different senses, we must study not only how information from each sensory modality is decoded but also how this information interacts with the sensory processing taking place within other sensory channels. The findings cited in The Handbook of Multisensory Processes suggest that there are broad underlying principles that govern this interaction, regardless of the specific senses involved. The book is organized thematically into eight sections; each of the 55 chapters presents a state-of-the-art review of its topic by leading researchers in the field. The key themes addressed include multisensory contributions to perception in humans; whether the sensory integration involved in speech perception is fundamentally different from other kinds of multisensory integration; multisensory processing in the midbrain and cortex in model species, including rat, cat, and monkey; behavioral consequences of multisensory integration; modern neuroimaging techniques, including EEG, PET, and fMRI, now being used to reveal the many sites of multisensory processing in the brain; multisensory processes that require postnatal sensory experience to emerge, with examples from multiple species; brain specialization and possible equivalence of brain regions; and clinical studies of such breakdowns of normal sensory integration as brain damage and synesthesia. Bradford Books imprint
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Algom, Daniel, Ami Eidels, Robert X. D. Hawkins, Brett Jefferson, and James T. Townsend. Features of Response Times. Edited by Jerome R. Busemeyer, Zheng Wang, James T. Townsend, and Ami Eidels. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780199957996.013.4.
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Psychology is one of the most recent sciences to issue from the mother-tree of philosophy. One of the greatest challenges is that of formulating theories and methodologies that move the field toward theoretical structures that are not only sufficient to explain and predict phenomena but, in some vital sense, necessary for those purposes. Mathematical modeling is perhaps the most promising general strategy, but even under that aegis, the physical sciences have labored toward that end. The present chapter begins by outlining the roots of our approach in 19th century physics, physiology, and psychology. Then, we witness the renaissance of goals in the 1960s, which were envisioned but not usually realizable in 19th century science and methodology. It could be contended that it is impossible to know the full story of what can be learned through scientific method in the absence of what cannot be known. This precept brings us into the slough of model mimicry, wherein even diametrically opposed physical or psychological concepts can be mathematically equivalent within specified observational theatres! Discussion of examples from close to half a century of research illustrate what we conceive of as unfortunate missteps from the psychological literature as well as what has been learned through careful application of the attendant principles. We conclude with a statement concerning ongoing expansion of our body of approaches and what we might expect in the future.
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Morawetz, Klaus. Interacting Systems far from Equilibrium. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.001.0001.
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In quantum statistics based on many-body Green’s functions, the effective medium is represented by the selfenergy. This book aims to discuss the selfenergy from this point of view. The knowledge of the exact selfenergy is equivalent to the knowledge of the exact correlation function from which one can evaluate any single-particle observable. Complete interpretations of the selfenergy are as rich as the properties of the many-body systems. It will be shown that classical features are helpful to understand the selfenergy, but in many cases we have to include additional aspects describing the internal dynamics of the interaction. The inductive presentation introduces the concept of Ludwig Boltzmann to describe correlations by the scattering of many particles from elementary principles up to refined approximations of many-body quantum systems. The ultimate goal is to contribute to the understanding of the time-dependent formation of correlations. Within this book an up-to-date most simple formalism of nonequilibrium Green’s functions is presented to cover different applications ranging from solid state physics (impurity scattering, semiconductor, superconductivity, Bose–Einstein condensation, spin-orbit coupled systems), plasma physics (screening, transport in magnetic fields), cold atoms in optical lattices up to nuclear reactions (heavy-ion collisions). Both possibilities are provided, to learn the quantum kinetic theory in terms of Green’s functions from the basics using experiences with phenomena, and experienced researchers can find a framework to develop and to apply the quantum many-body theory straight to versatile phenomena.