Academic literature on the topic 'Field equivalence principle'

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Journal articles on the topic "Field equivalence principle"

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LYRE, HOLGER. "A GENERALIZED EQUIVALENCE PRINCIPLE." International Journal of Modern Physics D 09, no. 06 (December 2000): 633–47. http://dx.doi.org/10.1142/s0218271800000694.

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Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the so-called gauge principle, which is based on the idea of deriving the coupling structure of the fields by satisfying a postulate of local gauge covariance. The gauge principle is generally considered to be sufficient to define the full structure of gauge-field theories. This paper contains a critique of this usual point of view: firstly, by emphazising an intrinsic gauge theoretic conventionalism which crucially restricts the conceptual role of the gauge principle and, secondly, by introducing a new generalized equivalence principle — the identity of inertial and field charge (as generalizations of inertial and gravitational mass) — in order to give a conceptual justification for combining the equations of motion of the matter-fields and the field equations of the interaction-fields.
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Yao, Kexin. "Negation of Equivalence Principle." Applied Science and Innovative Research 6, no. 4 (November 7, 2022): p88. http://dx.doi.org/10.22158/asir.v6n4p88.

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According to the electric charge and the elastic coefficient of the object independent of the motion of the object, and based on the similar properties of the gravitational field and the electrostatic field, it is concluded that the gravitational mass of the object is a constant independent of the motion of the object. However, experimental results show that the inertial mass of the object is related to the motion of the object. Therefore, it is considered that the principle of equivalence is not satisfied. As the object moves at a low velocity, the principle of equivalence is approximately true, so it is concluded that the general theory of relativity is applicable to all space celestial bodies. When the object is moving at high velocity, the principle of equivalence is not satisfied, so the general theory of relativity is not the truth. According to the principle of force balance, it is concluded that the velocity V of the black hole must be zero. Under the necessary conditions of V = 0, the existence of the black hole cannot be deduced according to the general theory of relativity. Therefore, it is considered that the black hole does not exist in theory. It is also estimated that the density of black hole is more than one million times the neutron density. It is believed that the black hole can never be a real material existence. The principle of black hole observation published on April 10, 2019 was considered theoretically wrong against the common sense of physics. The photos of the black hole halo taken at eight observation points in the world are judged to be untrue.
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DANIELS, J. M., and WEI-TOU NI. "NUCLEAR POLARIZATION AND THE EQUIVALENCE PRINCIPLE." Modern Physics Letters A 06, no. 08 (March 14, 1991): 659–68. http://dx.doi.org/10.1142/s0217732391000671.

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In this paper, we analyze the nuclear polarization of the spin-polarized Dy6Fe23 used in our two equivalence principle (EP) experiments. From this we infer the equivalence of polarized Dy in the earth’s gravitational field to be good to 10−3 and in the solar field to be good to 1.4×10−2. To increase the nuclear polarization in order to have better EP tests, we propose to use a dilution refrigerator to lower the temperature to 10 mK. We present a thorough analysis of our experimental scheme together with a discussion of perspectives.
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Putra, Fima Ardianto. "On the Semiclassical Approach of the Heisenberg Uncertainty Relation in the Strong Gravitational Field of Static Blackhole." Jurnal Fisika Indonesia 22, no. 2 (April 16, 2020): 15. http://dx.doi.org/10.22146/jfi.v22i2.34274.

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Heisenberg Uncertainty and Equivalence Principle are the fundamental aspect respectively in Quantum Mechanic and General Relativity. Combination of these principles can be stated in the expression of Heisenberg uncertainty relation near the strong gravitational field i.e. pr and Et . While for the weak gravitational field, both relations revert to pr and Et. It means that globally, uncertanty principle does not invariant. This work also shows local stationary observation between two nearby points along the radial direction of blackhole. The result shows that the lower point has larger uncertainty limit than that of the upper point, i.e. . Hence locally, uncertainty principle does not invariant also. Through Equivalence Principle, we can see that gravitation can affect Heisenberg Uncertainty relation. This gives the impact to our’s viewpoint about quantum phenomena in the presence of gravitation. Key words: Heisenberg Uncertainty Principle , Equivalence Principle, and gravitational field
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CAMACHO, A. "GROUP-THEORETICAL STRUCTURE OF QUANTUM MEASUREMENTS AND EQUIVALENCE PRINCIPLE." Modern Physics Letters A 15, no. 22n23 (July 30, 2000): 1461–70. http://dx.doi.org/10.1142/s0217732300001882.

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The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an example, the case of a particle whose coordinates are being monitored. Employing the so-called restricted path integral formalism, it will be shown that the measuring process could always contain information concerning the gravitational field. In other words, it seems that with the presence of a measuring process the equivalence principle may, in some cases, break down. The relation between the breakdown of the equivalence principle, at quantum level, and the fact that the gravitational field could always act as a decoherence environment, is also analyzed. The phenomena of quantum beats of quantum optics will allow us to consider the possibility that the experimental corroboration of the equivalence principle at quantum level could be taken as an indirect evidence in favor of the quantization of the gravitational field, i.e. the quantum properties of this field avoid the violation of the equivalence principle.
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WHITING, BERNARD F., and STEVEN DETWEILER. "RADIATION REACTION AND THE PRINCIPLE OF EQUIVALENCE." International Journal of Modern Physics D 12, no. 09 (October 2003): 1709–13. http://dx.doi.org/10.1142/s0218271803004109.

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The principle of equivalence is shown to extend to situations involving radiation reaction. For example, the Lorentz force law governs the motion of an isolated charge undergoing radiation reaction. In the case of an isolated uncharged particle of small mass, it is the geodesic equation which governs the motion, even when radiation reaction is included. For a local observer to understand such motion he must subtract the singular field of the particle from the actual electromagnetic and gravitational fields he measures. The remaining source-free fields are then used in computing the motion of the particle. With only local measurements, the observer has no knowledge of the existence of radiation and sees no effect which he would be compelled to describe as radiation reaction.
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Coutinho, F. AB, D. Kiang, Y. Nogami, and L. Tomio. "Dirac's hole theory versus quantum field theory." Canadian Journal of Physics 80, no. 8 (August 1, 2002): 837–45. http://dx.doi.org/10.1139/p02-048.

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Dirac's hole theory and quantum field theory are usually considered equivalent to each other. The equivalence, however, does not necessarily hold, as we discuss in terms of models of a certain type. We further suggest that the equivalence may fail in more general models. This problem is closely related to the validity of the Pauli principle in intermediate states of perturbation theory. PACS Nos.: 03.65-w, 11.10-z, 11.15Bt, 12.39Ba
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Fiorillo, Damiano F. G. "Violation of Equivalence Principle at IceCube." Journal of Physics: Conference Series 2156, no. 1 (December 1, 2021): 012158. http://dx.doi.org/10.1088/1742-6596/2156/1/012158.

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Abstract We study the effects of a Violation of Equivalence Principle (VEP) on neutrino oscillations. We analyze the IceCube data on atmospheric neutrino fluxes to obtain updated constraints on the parameter space of VEP, with the benchmark choice that neutrinos with different masses couple with different strengths to the gravitational field. We find that the VEP parameters times the local gravitational potential at Earth can be constrained at the level of 10−27. The constraints from atmospheric neutrinos strongly depend on the assumption that the neutrino eigenstates interacting diagonally with the gravitational field coincide with the mass eigenstates, which is not a priori justified: as an example, if the basis of diagonal gravitational interaction coincide with the flavor basis, atmospheric neutrinos cannot constrain the model. Finally, we quantitatively study the effect of a VEP on the flavor composition of the astrophysical neutrinos, stressing again the interplay with the basis in which the VEP is diagonal: we find that some choices of such basis are already in tension with the flavor ratio of the diffuse neutrino flux measured by IceCube.
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HARPAZ, AMOS. "TWO TESTS FOR THE EQUIVALENCE PRINCIPLE." International Journal of Modern Physics: Conference Series 03 (January 2011): 104–10. http://dx.doi.org/10.1142/s201019451100119x.

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The question: "Is the equivalence principle (EP) a general principle" is examined by analyzing solutions to two cases: 1. The Twin Paradox, and 2. Does a static charge located in a gravitational field radiate? The solutions to these two cases are given first by using EP, and then by physical analysis of the system involved. The fact that the two methods yield the same solutions, may be considered as test cases for the validity of the EP.
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Wex, Norbert. "Testing the Strong Equivalence Principle in strong field regimes." International Astronomical Union Colloquium 160 (1996): 123–24. http://dx.doi.org/10.1017/s0252921100041221.

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A possible functional dependence of the ratio of ‘gravitational’ massmGand ‘inertial’ massmIon the gravitational self-energyEG,is called aviolation of the Strong Equivalence Principle (SEP).Weakly self-gravitating bodies are found in the solar system where lunarlaser-ranging data restrict the Nordtvedt parameter η to absolute values smaller than 0.001, (Dickey et al. 1994, Müller et al. 1995). To test higher order contributions one needs to consider strongly self-gravitating bodies such as neutron-stars.Small-eccentricity binary-star systems consisting of a neutron star (|EG|/mc2~ 0.15) and a white dwarf (|EG|/mc2~ 10−4) are excellent ‘laboratories’ to test the SEP in a strong-field regime. As shown by Damour and Schäfer (1991) a violation of the SEP would lead to a periodic change in the eccentricity of the orbit of the binary pulsar caused by the galactic acceleration. Thus the observation of old small-eccentricity long-orbital-period neutron-star white-dwarf binary systems put (with a certain confidence level) a limit on the violation of the SEP.
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Dissertations / Theses on the topic "Field equivalence principle"

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Mohapi, Neo. "A study of spherical solutions in chameleon scalar-tensor theories." Thesis, Rhodes University, 2014. http://hdl.handle.net/10962/d1013315.

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The equivalence principle has proven to be central to theories of gravity, with General Relativity being the simplest and most elegant theory to embody the principle. Most alternative theories of gravity struggle to satisfy the principle and still be distinct from GR. Extensions of cosmological and quantum theories question the irrefutably of the equivalence at every scale. The possibility of an equivalence principle violation at galactic scales would be an exciting prospect. In this thesis, we will carefully examine the equivalence principle through the study of chameleon scalar-tensor theories, this will include solutions for hypothetical stars known as boson stars. Such theories find varied application, especially in cosmology, where they model dark energy and inflation. The AWE hypothesis, is an instance of this. It is a nonuniversally coupled model in which violations of the equivalence principle on galactic scales may be apparent. We investigate spherically symmetric and static solutions within the framework of this theory. The constraints obtained from galactic rotation curves results in values of the couplings that show no significant violation of the equivalence principle or values consistent with a theory of dark energy
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Nguyen, Trong Nghia. "Analysis, design and optimisation of various antenna types based on equivalent magnetic-current concept." Thesis, 2017. http://hdl.handle.net/2440/115415.

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The field equivalence principle is a classical technique, simple to use but remarkably effective to analyse aperture antennas. For most of thin planar structures, the aperture can be approximated as perfect magnetic conductor. Thus, the field equivalence principle typically yields a well-approximated equivalent problem that is much easier to solve than the original geometry. Inspired by this principle, a wide range of novel antenna structures are proposed in this thesis. These structures are further developed, optimised and tailored for various practical applications. Three main types of antennas are investigated, including travelling-wave antennas, low-profile monopolar antennas and reconfigurable antennas, corresponding to three major parts of this dissertation. The first part examines various realisations of travelling-wave half-mode substrate- integrated waveguide (HMSIW) antennas and their optimisations. This type of antenna is equivalent to a magnetic dipole. In this part, the core contribution is a generalised semi-analytical model to effectively analyse continuous-source travelling-wave antennas, based on which different optimisation techniques for bandwidth and radiation patterns are proposed. An optimisation procedure that includes parameter uncertainties is also demonstrated. The second part focuses on a type of low-profile monopolar antennas that can be interpreted as magnetic-current loops using the field equivalence principle. The main contributions are different configurations of symmetrical radiating slots that act as additional magnetic-current loop sources. The last major part covers a wide range of reconfigurable antennas targeting various applications. These includes a family of stub-loaded substrate-integrated antennas, a circular resonant cavity, and low-profile monopolar antennas that have been introduced in the second major part. These antennas not only cover three main application types of reconfigurable antennas, i.e. frequency- , polarisation-, and pattern-tunability, but also combine those in a single device. Moreover, significant improvements in performances compared to antennas available in the literature are demonstrated. Overall, the thesis provides different frameworks to design many types of antennas. The analytical models, using the field equivalence principle as a common fundamental technique, provide not only thorough understandings on antennas’ radiation mechanisms but also an effective means for rapid antenna optimisations.
Thesis (Ph.D.) -- University of Adelaide, School of Electrical and Electronic Engineering, 2017
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Books on the topic "Field equivalence principle"

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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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Book chapters on the topic "Field equivalence principle"

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Giulini, Domenico. "Equivalence Principle, Quantum Mechanics, and Atom-Interferometric Tests." In Quantum Field Theory and Gravity, 345–70. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0043-3_16.

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Gutfreund, Hanoch, and Jürgen Renn. "Generalization of Gravitation Theory." In The Formative Years of Relativity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174631.003.0022.

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This chapter attempts to formulate a consistent extension of the theory of general relativity. The starting point of the general theory of relativity is the recognition of the unity of gravitation and inertia (principle of equivalence). From this principle, it follows that the properties of “empty space” were to be represented by a symmetrical tensor expressed in the theory. The principle of equivalence, however, does not give any clue as to what may be the more comprehensive mathematical structure on which to base the treatment of the total field comprising the entire physical reality. As such, this chapter considers the problem of how to find a field structure which is a natural generalization of the symmetrical tensor as well as a system of field equations for this structure which represent a natural generalization of certain equations of pure gravitation.
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F. Woodward, James. "Gravity and Inertia in General Relativity." In Gravitational Field [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.99760.

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The relationship of gravity and inertia has been an issue in physics since Einstein, acting on an observation of Ernst Mach that rotations take place with respect to the “fixed stars”, advanced the Equivalence Principle (EP). The EP is the assertion that the forces that arise in proper accelerations are indistinguishable from gravitational forces unless one checks ones circumstances in relation to distant matter in the universe (the fixed stars). By 1912, Einstein had settled on the idea that inertial phenomena, in particular, inertial forces should be a consequence of inductive gravitational effects. About 1960, five years after Einstein’s death, Carl Brans pointed out that Einstein had been mistaken in his “spectator matter” argument. He inferred that the EP prohibits the gravitational induction of inertia. I argue that while Brans’ argument is correct, the inference that inertia is not an inductive gravitational effect is not correct. If inertial forces are gravitationally induced, it should be possible to generate transient gravitational forces of practical levels in the laboratory. I present results of a experiment designed to produce such forces for propulsive purposes.
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Emam, Moataz H. "General Covariance." In Covariant Physics, 164–210. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198864899.003.0005.

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The general theory of relativity is introduced based on the principle of equivalence. Gravity is shown to arise dues to spacetime curvature. Specific examples of curved spacetimes are presented from the approximate but more intuitive to the complex: Uniform gravitational field (Galilean metric), the Newtonian weak field metric, Schwarzschild’s exterior and interior solutions, black holes, and cosmological spacetimes. A brief discussion on distances, areas and volumes in curved spaces is also given.
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Darrigol, Olivier. "MOSTLY EINSTEIN: TO GENERAL RELATIVITY." In Relativity Principles and Theories from Galileo to Einstein, 269–340. Oxford University PressOxford, 2021. http://dx.doi.org/10.1093/oso/9780192849533.003.0009.

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Abstract In 1907, Einstein introduced the principle of equivalence between gravitation and inertial acceleration, thus extending relativity to accelerated frames. He used this principle to derive new electromagnetic effects of the gravitational field. In 1912, he designed a full static field theory through a generalized Minkowski metric with variable velocity of light. Next moving to arbitrary fields, he further generalized the metric formula to include any form compatible with the locally Minkowskian character. His main heuristic requirements were the general covariance of the fundamental equations, and the existence of a stress–energy tensor for the gravitational forces. Having failed to combine both requirements, for almost three years he sacrificed the former to the latter. Finally, in November 1915, he realized he could reconcile his two requirements through a field action based on the Christoffel symbols, and he gave correct predictions for the gravitational redshift, the advance of Mercury’s perihelion, and the gravitational curvature of light rays.
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"General Relativity Evolution of the Photons in Dielectrics." In Quantum and Optical Dynamics of Matter for Nanotechnology, 361–89. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-4687-2.ch010.

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Basic Einstein general relativity equations are linearized and coupled with Maxwell electromagnetic field equations to produce local gravitationally corrected Minkowsky space metrics; fundamental application on gravity action of an intense laser beam upon a weaker parallel one in dielectrics is undertaken towards evaluating of the space deviation phase shift and confirming the general equivalence principle of inertia for phonons in nanomaterials.
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Manton, Nicholas, and Nicholas Mee. "General Relativity." In The Physical World. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198795933.003.0007.

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This chapter presents the physical motivation for general relativity, derives the Einstein field equation and gives concise derivations of the main results of the theory. It begins with the equivalence principle, tidal forces in Newtonian gravity and their connection to curved spacetime geometry. This leads to a derivation of the field equation. Tests of general relativity are considered: Mercury’s perihelion advance, gravitational redshift, the deflection of starlight and gravitational lenses. The exterior and interior Schwarzschild solutions are discussed. Eddington–Finkelstein coordinates are used to describe objects falling into non-rotating black holes. The Kerr metric is used to describe rotating black holes and their astrophysical consequences. Gravitational waves are described and used to explain the orbital decay of binary neutron stars. Their recent detection by LIGO and the beginning of a new era of gravitational wave astronomy is discussed. Finally, the gravitational field equations are derived from the Einstein–Hilbert action.
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Episcopo, Francesca. "The Vicissitudes of Life at the Coalface: Remedies and Procedures for Enforcing Union Law Before National Courts." In The Evolution of EU Law, 275–306. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192846556.003.0009.

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The chapter discusses the evolution of European law concerning national remedies and procedures involved in enforcing EU rights and obligations, combining an exposition of the case law with a critical discussion of the mainstream scholarship. EU law on national remedies is traditionally embodied in the equivalence-effectiveness test, whose jurisprudence is systematized into three periods of varying scrutiny. After the Lisbon Treaty, it is pictured as increasingly based on the principle of effective judicial protection, Articles 19 TEU and 47 EUCFR, suggesting a possible ‘human-rights-oriented twist’ in the field. Adopting a critical stand, the chapter shows how the traditional systematization misses additional strands of cases and facets to the Rewe-effectiveness, while the substantial implications of the latest trends are still under development.
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d’Inverno, Ray, and James Vickers. "Classical experimental tests of general relativity." In Introducing Einstein's Relativity, 289–318. 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.003.0016.

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Abstract Chapter 16, the final one in Part C, focuses on the tests of general relativity that can be carried out in the solar system. However, these tests are really tests of general relativity in the weak field regime, in which the gravitational effects are not significantly different from the corresponding Newtonian ones. The chapter uses the Schwarzschild solution to derive the three classical experimental tests of general relativity, namely the test of the equivalence principle, the advance of the perihelion of Mercury, and the bending of light. A fourth test, the so-called Shapiro time delay, is also considered. In the final section, the parameterized post-Newtonian formalism (PPN parameters, for short) is introduced. This is used to quantify the outcome of the experimental tests and show how the current experimental evidence is strongly in support of Einstein’s theory.
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Steane, Andrew M. "The elements of General Relativity." In Relativity Made Relatively Easy Volume 2, 11–26. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895646.003.0002.

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This chapter is a survey of central ideas and equations in general relativity. The basic equations are written down with a view to seeing where we are heading in the book, and in order to present both the field theory and the geometric interpretation of gravity. The central role of the metric is introduced, and the equivalence principle is discussed. It is emphasized that spacetime interval is both a mathematical and a physical idea. It is explained how gravity works “behind the scenes” by modifying equations which otherwise look like familiar equations of electromagnetism. The sense in which acceleration is in some respects a relative and in some respects an absolute concept is explained. It is shown why the motion of matter, not just its mass, must influence gravitation. The stress-energy tensor is introduced and defined.
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Conference papers on the topic "Field equivalence principle"

1

Ma, Zu-Hui, Sheng Sun, Lijun Jiang, Weng Cho Chew, and Mao Kun Li. "Improved field projection in equivalence principle algorithm with rotated CWBC basis." In 2014 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2014. http://dx.doi.org/10.1109/aps.2014.6905407.

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Li, Liang, Jingnan Pan, Chulsoon Hwang, Gyuyeong Cho, Harkbyeong Park, Yaojiang Zhang, and Jun Fan. "Near-field coupling estimation by source reconstruction and Huygens's equivalence principle." In 2015 IEEE Symposium on Electromagnetic Compatibility and Signal Integrity. IEEE, 2015. http://dx.doi.org/10.1109/emcsi.2015.7107708.

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Li, Maokun, Xunwang Dang, Fan Yang, and Shenheng Xu. "Numerical study on the field projection error in the equivalence principle algorithm." In 2016 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2016. http://dx.doi.org/10.1109/compem.2016.7588580.

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Zhu, Ying, Yuchen Ma, Chong Pan, and Xiang Wu. "Theoretical Method and Analysis of Spherical Near-field to Far-field Transformation Based on Equivalence Principle." In 2021 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition (iWEM). IEEE, 2021. http://dx.doi.org/10.1109/iwem53379.2021.9790436.

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Ma, Zhongjing, Roland P. Malhame, and Peter E. Caines. "Distributed control for radial loss network systems via the ash Certainty Equivalence (mean field) principle." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4739237.

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Hizal, Altunkan, and Hayrullah Yildiz. "Beam steering of vortex waves by a phased array based on the field equivalence principle." In 2022 IEEE International Symposium on Phased Array Systems & Technology (PAST). IEEE, 2022. http://dx.doi.org/10.1109/past49659.2022.9975007.

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Lange, Sven, Dominik Schroder, Christian Hedayat, Christian Hangmann, Thomas Otto, and Ulrich Hilleringmann. "Investigation of the Surface Equivalence Principle on a Metal Surface for a Near-Field to Far-Field Transformation by the NFS3000." In 2020 International Symposium on Electromagnetic Compatibility - EMC EUROPE. IEEE, 2020. http://dx.doi.org/10.1109/emceurope48519.2020.9245697.

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Wang, Zhao, Wei Qin, Xiaojie Zhang, Jiannan Zhao, and Yong Bai. "Study on the Design Method of Deepwater Steel Lazy Wave Riser." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95631.

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Abstract The steel lazy wave riser has been used in deep-water oil and gas field development because it has good adaption to the movement of the upper platform and economic efficiency. The typical design criterion and design flow of steel lazy wave riser are introduced in this paper. The design method and the equivalence principle of distributed buoyancy modules are given. The formulas of equivalent hydrodynamic parameters are derived in this paper. The influences of distributed buoyancy modules (DBM) and the buoyancy factor on the configuration of the riser, the top tension, and the bending moment distribution are discussed and summarized. The distribution law of effective stress response along the pipe can be analyzed by dynamic analysis, and it provides reference for the global design of steel lazy wave riser.
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Appel-Hansen, J. "The short-circuit concept used in field equivalence principles." In International Symposium on Antennas and Propagation Society, Merging Technologies for the 90's. IEEE, 1990. http://dx.doi.org/10.1109/aps.1990.115295.

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10

Chamoun, N. "Weak Interactions Effect on the P-N Mass Splitting and the Principle Of Equivalence." In PARTICLES AND FIELDS: Eight Mexican Workshop. AIP, 2002. http://dx.doi.org/10.1063/1.1489768.

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