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Gravity, Gauge Theories and Quantum Cosmology

Gravity, Gauge Theories and Quantum Cosmology
Author: J.V. Narlikar
Publisher: Springer Science & Business Media
Total Pages: 498
Release: 1986-07-31
Genre: Science
ISBN: 9789027719485

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For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.


Space-Time Foliation in Quantum Gravity

Space-Time Foliation in Quantum Gravity
Author: Yuki Sato
Publisher: Springer
Total Pages: 112
Release: 2014-05-28
Genre: Science
ISBN: 4431549471

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In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models. In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary. In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.


Quantum Space-Time Dynamics

Quantum Space-Time Dynamics
Author: Hontas Farmer
Publisher: Lulu.com
Total Pages: 60
Release: 2009-01-01
Genre: Science
ISBN: 0578007320

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General Relativity and Quantum Field Theory. The glaring theoretical problem for 21st century physics is how to unite the two great theories of 20th century physics. I have done just this by considering the problem from a fresh new perspective. The result is a theory that is mathematically simple and elegant. Based on one postulate I am able to derive a very simple mathematical formulation. Using this formulation I find results for the Schwarzchild radius of a black hole, the bounce of a neutron in Earth's gravity, and the entropy of a black hole. I also have discovered that space-time is in fact a conserved quantity.


Lectures on Quantum Gravity

Lectures on Quantum Gravity
Author: Andres Gomberoff
Publisher: Springer Science & Business Media
Total Pages: 357
Release: 2006-05-30
Genre: Science
ISBN: 0387249923

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The 2002 Pan-American Advanced Studies Institute School on Quantum Gravity was held at the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. The school featured lectures by ten speakers, and was attended by nearly 70 students from over 14 countries. A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.


Quantum Mechanics in Curved Space-time

Quantum Mechanics in Curved Space-time
Author: Jürgen Audretsch
Publisher: Springer Science & Business Media
Total Pages: 576
Release: 1990
Genre: Mathematics
ISBN:

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A survey of the empirical aspects, the conceptual basis, and the related fundamental problems, as well as the astrophysical and cosmological applications of the title subject. Specific topics include accelerated particle detectors and the operational meaning of the particle concept in curved space-t


Quantum Gravity

Quantum Gravity
Author: M. Markov
Publisher: Springer Science & Business Media
Total Pages: 544
Release: 2012-12-06
Genre: Science
ISBN: 1461327016

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Three years have passed after the First Moscow Seminar on Quantum Gravity. It is a rather long time interval for the modern theoretical physics. The talks given at the present Second Seminar which took place in October 13-15, 1981 in Moscow contain the discussion of new results obtained during this period and the problems which arose. More than one hundred Soviet scientists and a number of the foreign guests attended this Seminar, which as the previous one was held by the Nuclear Physics Department of the Academy of Sciences of the USSR and the Institute for Nuclear Research of the Academy of Sciences of the USSR. The aim of the Seminar was to discuss the most important problems of the modern Quantum Gravity, namely: i) Quantum Gravity: the state of art; ii) Quantum effects in Cosmology; iii) Quantum black-hole physics; iv) the recent development in Supergravity and v) Quantum Gauge Theories. The Editorial Board expresses its sincere gratitude to all physicists who have contributed to these Proceedings for their cooperation with the Board in respect of time limitation, accurate and patient fulfilment of all tiresome requirements, set by the Board. The talks in the Proceedings are arranged in sections in accordance with their presentation at the Seminar.


Advances in the Interplay Between Quantum and Gravity Physics

Advances in the Interplay Between Quantum and Gravity Physics
Author: Peter G. Bergmann
Publisher: Springer Science & Business Media
Total Pages: 553
Release: 2012-12-06
Genre: Science
ISBN: 9401003475

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In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely lectures on the quantum field and horizon of a black hole including reviews of the problem of black holes thermodynamics and entropy, quantum information, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stockastic gravity. We have also discussed quantum fluctuations in inflationary universe, quantum effects and reheating after inflation, and superplanckian energies in Hawking radiation. In this regard the subject of spinors in purely affine space-time and Dirac matter according to Weyl in the generalized theory of gravitation were developed . The dualism between space-time and matter has been deeply analyzed in order to see why, for general relativity, this is an obstacle for quantization of the theory. Also canonical Gravity and Mach's principle, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of real space-time were analysed, together with the problem of 5-Dimensional Projective Unified Field theory and Multidimensional Gravity and Cosmology.


Canonical Quantum Gravity: Fundamentals And Recent Developments

Canonical Quantum Gravity: Fundamentals And Recent Developments
Author: Francesco Cianfrani
Publisher: World Scientific
Total Pages: 325
Release: 2014-05-21
Genre: Science
ISBN: 9814556661

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This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.


Extreme Regimes in Quantum Gravity

Extreme Regimes in Quantum Gravity
Author: Emmanuele Battista
Publisher: Nova Science Publishers
Total Pages: 348
Release: 2017
Genre: Science
ISBN: 9781536124514

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This book is divided into two parts. The low-energy limit of quantum gravity is analysed in the first half of the book, whereas in the second half of the book, the authors explain the high-energy domain. In the first part, by applying the effective field theory point of view to the quantization of general relativity, detectable, though tiny, quantum effects in the position of Newtonian Lagrangian points of the Earth-Moon system are found. In order to make more realistic the quantum corrected model proposed, the full three-body problem where the Earth and the Moon interact with a generic massive body as well as the restricted four-body problem involving the perturbative effects produced by the gravitational presence of the Sun in the Earth-Moon system are also studied. After that, a new quantum theory having general relativity as its classical counterpart is analysed. By exploiting this framework, an innovative interesting prediction involving the position of Lagrangian points within the context of general relativity is described. Furthermore, the new pattern provides quantum corrections to the relativistic coordinates of Earth-Moon libration points of a few millimetres. The second part of the book deals with the Riemannian curvature characterizing the boosted form assumed by the Schwarzschild-de Sitter metric. The analysis of the Kretschmann invariant and the geodesic equation shows that the spacetime possesses a "scalar curvature singularity" within a 3-sphere and that it is possible to define what the authors refer to as a "boosted horizon", which is a sort of elastic wall where all particles are surprisingly pushed away, suggesting that such "boosted geometries" are ruled by a sort of "antigravity effect". Eventually, the equivalence with the coordinate shift method is invoked in order to demonstrate that all ä2 terms appearing in the Riemann curvature tensor give a vanishing contribution in the distributional sense.