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A Theory Of Gravitation And Its Quantization

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A Theory Of Gravitation And Its Quantization

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Author : Frederik Jozef Belinfante
language : en
Publisher:
Release Date : 1954

A Theory Of Gravitation And Its Quantization written by Frederik Jozef Belinfante and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Gravitation categories.

A New Theory Of Gravitation And Its Quantization

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Author : Hartwig Poth
language : de
Publisher: epubli GmbH
Release Date : 2012-12-18

A New Theory Of Gravitation And Its Quantization written by Hartwig Poth and has been published by epubli GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-18 with Science categories.

Gravitation, Relativistic Quantum Mechanics

The Quantization Of Gravity

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Author : Claus Gerhardt
language : en
Publisher: Springer
Release Date : 2018-04-14

The Quantization Of Gravity written by Claus Gerhardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-14 with Science categories.

A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.

Quantization Gravitation And Group Methods In Physics

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Author : A. A. Komar
language : en
Publisher: Nova Science Publishers
Release Date : 1988

Quantization Gravitation And Group Methods In Physics written by A. A. Komar and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Gravitation categories.

Quantization Of Fields

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Author : Andrey Nikolaevich Volobuev
language : en
Publisher:
Release Date : 2018-09-24

Quantization Of Fields written by Andrey Nikolaevich Volobuev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Electromagnetic fields categories.

In the book Quantization of Fields, the problems of electromagnetic and gravitational fields quantization are examined. Quantization of an electromagnetic field is carried out in photon space, i.e., in the reference system moving with a light velocity. This reference system accompanies a photon, therefore, it is possible to carry out the display of a photon to receive representation about its form and to investigate its parameters and properties. In photon space, the Schrodinger's nonlinear equation with logarithmic nonlinearity (which the wave function of a photon obeys) is found. On the basis of this equation, the problem of a material particle and photon interaction in photon space is investigated. It is shown that the interaction of a photon and material particle can be calculated in the closed form in photon space. Such calculations can be carried out only approximately by a method of the perturbations theory in Euclidian spaces. It is shown that during interaction of a photon and electron on the electron surface, there are waves propagating with a light velocity. The problem of a vacuum in the photon space and also multiphoton system in this space is investigated.During the quantization of a gravitational field, Einstein's equation for a field of gravitation as a basis is used. It is assumed that curved space-time (Riemann's space) is not quantized. Quantization is subjected to an energy-impulse tensor. It is supposed that the curvature of space-time due to the presence of the massive bodies does not create a strength condition in space. The part of corresponding components of an energy-impulse tensor is replaced with quantum sizes by a principle of formation for the quantum mechanics matrix form. On the basis of the quantum form of the gravitational field equation, the solution as a graviton-quantum of a gravitational field is received. It is shown that during the propagation of a graviton near a massive body, there is a pumping of the gravitation field energy in the graviton. Therefore, in the field of a massive body, the graviton is possible to register. When there is distance between the graviton and a massive body, its energy is pumped over back in a gravitation field of a massive body. Therefore, to registering the graviton far from a massive body is problematic. In the book, some standard questions of general relativity - the classical theory of gravitational radiation, the theory of gravitational waves, the Schwarzschild's theory of the solitary mass field, etc. - are submitted also.

Quantum Gravity

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Author : Domenico J. W. Giulini
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-16

Quantum Gravity written by Domenico J. W. Giulini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-16 with Science categories.

The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Lectures On Non Perturbative Canonical Gravity

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Author : Abhay Ashtekar
language : en
Publisher: World Scientific
Release Date : 1991-07-03

Lectures On Non Perturbative Canonical Gravity written by Abhay Ashtekar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-03 with Science categories.

Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.

The Meaning Of Quantum Gravity

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Author : Horst-Heino Borzeszkowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Meaning Of Quantum Gravity written by Horst-Heino Borzeszkowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

In discussing the question of whether General Relativity Theory really needs to be quantized, a simply negative answer cannot be accepted, of course. Such an answer is not satisfying because, first, Einstein's gravitational equations connect gravity and non-gravitational matter and because, second, it can be taken for granted that non-gravitational matter has an atomic or quantum structure such that its energy-momentum tensor standing on the right-hand side of Einstein's equations is formed out of quantum operators. These two facts make it impossible to read the left-hand side of Einstein's equations as an ordinary classical function. This does not necessarily mean, however, that we must draw the conclusion that General Relativity Theory, similar to electrodynamics, could or should be quantized in a rigorous manner and that this quantization has similar consequences to quantum electrodynamics. In other words, when for reasons of consistency quantization is tried, then one has to ask whether and where the quantization procedure has a physical meaning, i.e., whether there exist measurable effects of quantum gravity. IQ accordance with these questions, we are mainly dealing with the discus sion of the principles of quantized General Relativity Theory and with the estimation of quantum effects including the question of their measurability. This analysis proves that it is impossible to distinguish between classical and quantum General Relativity Theory for the extreme case of Planck's orders of magnitude. In other words, there does not exist a physically meaningful rigorous quantization conception for Einstein's theory.

Quantum Gravity

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Author : Domenico J. W. Giulini
language : en
Publisher: Springer
Release Date : 2014-03-12

Quantum Gravity written by Domenico J. W. Giulini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Science categories.

Topics In The Semiclassical Quantization Of Gravitation

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Author : Bharat Vishnu Ratra
language : en
Publisher:
Release Date : 1986

Topics In The Semiclassical Quantization Of Gravitation written by Bharat Vishnu Ratra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

A Theory Of Gravitation And Its Quantization

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