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The Structural Foundations of Quantum Gravity

The Structural Foundations of Quantum Gravity
Author: Dean Rickles
Publisher: Oxford University Press
Total Pages: 283
Release: 2006-11-16
Genre: Mathematics
ISBN: 0199269696

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What is spacetime? General relativity and quantum field theory answer this question in different ways. This collection of essays looks at the problem of uniting these two fundamental theories of our world, focusing on the nature of space and time within this quantum framework.


Relativity, Symmetry and the Structure of the Quantum Theory

Relativity, Symmetry and the Structure of the Quantum Theory
Author: William H. Klink
Publisher: Morgan & Claypool Publishers
Total Pages: 95
Release: 2014-04-01
Genre: Science
ISBN: 1627056246

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Quantum theory is one of the most successful of all physical theories. Our everyday world is dominated by devices that function because of knowledge of the quantum world. Yet many, physicists and non-physicists alike, find the theory which explains the beh


Principles of Quantum General Relativity

Principles of Quantum General Relativity
Author: Eduard Prugove?ki
Publisher: World Scientific
Total Pages: 380
Release: 1995
Genre: Science
ISBN: 9789810221386

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This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.


Quantum Space

Quantum Space
Author: J. E. Baggott
Publisher:
Total Pages: 448
Release: 2018
Genre: Science
ISBN: 0198809115

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The greatest challenge for physics is to combine its two most successful theories: general relativity and quantum mechanics. The resulting quantum theory of gravity would explain the universe across all scales. Much has been said about the approach based on string theory. Here, Jim Baggott describes its powerful rival: Loop Quantum Gravity.


Quantum Structure Of Space And Time, The - Proceedings Of The 23rd Solvay Conference On Physics

Quantum Structure Of Space And Time, The - Proceedings Of The 23rd Solvay Conference On Physics
Author: Marc Henneaux
Publisher: World Scientific
Total Pages: 295
Release: 2007-01-04
Genre: Science
ISBN: 9814477273

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Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling Einstein's theory of gravity with quantum mechanics.These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume.In the Solvay tradition, the volume also includes the discussions among the participants — many of which were quite lively and illustrate dramatically divergent points of view — carefully edited and reproduced in full.


Scale Relativity and Fractal Space-time

Scale Relativity and Fractal Space-time
Author: Laurent Nottale
Publisher: World Scientific
Total Pages: 766
Release: 2011
Genre: Science
ISBN: 1848166508

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This book provides a comprehensive survey of the state-of-the-art in the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling quantum mechanics to be based on the principle of relativity provided this principle is extended to scale transformations of the reference system. In the framework of such a newly-generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that goes beyond and integrates the classical and the quantum regimes. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.


Selected Topics in Applications of Quantum Mechanics

Selected Topics in Applications of Quantum Mechanics
Author: Mohammad Reza Pahlavani
Publisher: BoD – Books on Demand
Total Pages: 470
Release: 2015-05-13
Genre: Science
ISBN: 953512126X

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This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.


Quantum Mechanics from General Relativity

Quantum Mechanics from General Relativity
Author: M. Sachs
Publisher: Springer Science & Business Media
Total Pages: 243
Release: 2012-12-06
Genre: Science
ISBN: 9400946643

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This monograph is a sequel to my earlier work, General Relativity and Matter [1], which will be referred to henceforth as GRM. The monograph, GRM, focuses on the full set of implications of General Relativity Theory, as a fundamental theory of matter in all domains, from elementary particle physics to cosmology. It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory. This monograph will focus, primarily, on the special relativistic limit of the part of this general field theory of matter that deals with inertia, in the domain where quantum mechanics has been evoked in contemporary physics as a funda mental explanation for the behavior of elementary matter. Many of the results presented in this book are based on earlier published works in the journals, which will be listed in the Bibliography. These results will be presented here in an expanded form, with more discussion on the motivation and explanation for the theoretical development of the subject than space would allow in normal journal articles, and they will be presented in one place where there would then be a more unified and coherent explication of the subject.