Topics in the Semiclassical Quantization of Gravitation
Author: Bharat Vishnu Ratra
Publisher:
Published: 1986
Total Pages: 276
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Bharat Vishnu Ratra
Publisher:
Published: 1986
Total Pages: 276
ISBN-13:
DOWNLOAD EBOOKAuthor: Esko Olavi Keski-Vakkuri
Publisher:
Published: 1995
Total Pages: 114
ISBN-13:
DOWNLOAD EBOOKAuthor: Claus Gerhardt
Publisher: Springer
Published: 2018-04-14
Total Pages: 206
ISBN-13: 3319773712
DOWNLOAD EBOOKA 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.
Author: Abhay Ashtekar
Publisher: World Scientific
Published: 1991
Total Pages: 356
ISBN-13: 9810205740
DOWNLOAD EBOOKNotes 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.
Author: Sabine Hossenfelder
Publisher: Springer
Published: 2017-11-23
Total Pages: 0
ISBN-13: 9783319645360
DOWNLOAD EBOOKThis book summarizes recent developments in the research area of quantum gravity phenomenology. A series of short and nontechnical essays lays out the prospects of various experimental possibilities and their current status. Finding observational evidence for the quantization of space-time was long thought impossible. In the last decade however, new experimental design and technological advances have changed the research landscape and opened new perspectives on quantum gravity. Formerly dominated by purely theoretical constructions, quantum gravity now has a lively phenomenology to offer. From high precision measurements using macroscopic quantum oscillators to new analysis methods of the cosmic microwave background, no stone is being left unturned in the experimental search for quantum gravity. This book sheds new light on the connection of astroparticle physics with the quantum gravity problem. Gravitational waves and their detection are covered. It illustrates findings from the interconnection between general relativity, black holes and Planck stars. Finally, the return on investment in quantum-gravitation research is illuminated. The book is intended for graduate students and researchers entering the field.
Author: Jasjeet Singh Bagla
Publisher: Springer
Published: 2017-02-23
Total Pages: 491
ISBN-13: 3319517007
DOWNLOAD EBOOKThis book provides a compilation of in-depth articles and reviews on key topics within gravitation, cosmology and related issues. It is a celebratory volume dedicated to Prof. Thanu Padmanabhan ("Paddy"), the renowned relativist and cosmologist from IUCAA, India, on the occasion of his 60th birthday. The authors, many of them leaders of their fields, are all colleagues, collaborators and former students of Paddy, who have worked with him over a research career spanning more than four decades. Paddy is a scientist of diverse interests, who attaches great importance to teaching. With this in mind, the aim of this compilation is to provide an accessible pedagogic introduction to, and overview of, various important topics in cosmology, gravitation and astrophysics. As such it will be an invaluable resource for scientists, graduate students and also advanced undergraduates seeking to broaden their horizons.
Author: Bertfried Fauser
Publisher: Springer Science & Business Media
Published: 2007-02-15
Total Pages: 343
ISBN-13: 3764379782
DOWNLOAD EBOOKThis book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".
Author: De Sabbata Venzo
Publisher: World Scientific
Published: 1996-09-03
Total Pages: 464
ISBN-13: 981454745X
DOWNLOAD EBOOKThis volume contains the Proceedings of 'Quantum Gravity': a series of qualified lectures of most outstanding scientists given during the XIV Course of the International School of Cosmology and Gravitation. As usual of that School, the Course was conceived for researchers at different levels of scientific maturity ranging from post-doctorate research students to well established research workers: then in every lecture you can find an introduction where a review and analysis of the main mathematical, physical and epistemological difficulties encountered at the formulations of relativistic quantum theories are expounded, ranging from relativistic quantum mechanics and quantum field theory in Minkowski and in curved space-time to the various canonical and covariant approaches to quantum gravity.
Author: Bei-Lok B. Hu
Publisher: Cambridge University Press
Published: 2020-03-05
Total Pages: 615
ISBN-13: 0521193575
DOWNLOAD EBOOKAn overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
Author: Claus Kiefer
Publisher: Oxford University Press
Published: 2012-04-05
Total Pages: 406
ISBN-13: 0199585202
DOWNLOAD EBOOKQuantum theory and Einstein's theory of relativity are at the centre of modern theoretical physics, yet, the consistent unification of both theories is still elusive. This book offers an up-to-date introduction into the attempts to construct a unified theory of "quantum gravity".