canonical quantum gravity fundamentals and recent developments

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Canonical Quantum Gravity

Author : Francesco Cianfrani
ISBN : 9814556645
Genre : Science
File Size : 21. 22 MB
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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.

Canonical Quantum Gravity

Author : Francesco Cianfrani
ISBN : 9789814556668
Genre : Science
File Size : 48. 28 MB
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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. Contents:Introduction to General RelativityElements of CosmologyConstrained Hamiltonian SystemsLagrangian FormulationsQuantization MethodsQuantum GeometrodynamicsGravity as a Gauge TheoryLoop Quantum GravityQuantum Cosmology Readership: Researchers in theoretical physics, quantum physics, general relativity and astrophysics. Keywords:Canonical Quantum Gravity;Quantum Gravity;Loop Quantum Gravity Theory;General RelativityKey Features:An independent and sound analysis touching many crucial points in the attempt toward a consistent Canonical Quantum Gravity theoryA pedagogical and exhaustive review of fundamental concepts of Quantum Mechanics and General RelativityA solid introduction to Hamiltonian constrained systems with a detailed analysis of the notion of canonical transformation in this class of systems with some concrete examples giving useful insightA self-consistent derivation of the Loop Quantum Gravity Approach, outlining the main progresses and the shortcomings of this theory

The Ninth Marcel Grossmann Meeting

Author : Vahe G Gurzadyan
ISBN : 9789814488495
Genre : Science
File Size : 20. 27 MB
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In 1975 the Marcel Grossmann Meetings were established by Remo Ruffini and Abdus Salam to provide a forum for discussion of recent advances in gravitation, general relativity, and relativistic field theories. In these meetings, which are held once every three years, every aspect of research is emphasized — mathematical foundations, physical predictions, and numerical and experimental investigations. The major objective of these meetings is to facilitate exchange among scientists, so as to deepen our understanding of the structure of space–time and to review the status of both the ground-based and the space-based experiments aimed at testing the theory of gravitation. The Marcel Grossmann Meetings have grown under the guidance of an International Organizing Committee and a large International Coordinating Committee. The first two meetings, MG1 and MG2, were held in Trieste (1975, 1979). A most memorable MG3 (1982) was held in Shanghai and represented the first truly international scientific meeting in China after the so-called Cultural Revolution. Three years later MG4 was held in Rome (1985). It was at MG4 that “astroparticle physics” was born. MGIXMM was organized by the International Organizing Committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg. Essential to the organization was an International Coordinating Committee of 135 members from scientific institutions of 54 countries. MGIXMM was attended by 997 scientists of 69 nationalities. It took place on 2-8 July 2000 at the University of Rome, Italy. The scientific programs included 60 plenary and review talks, as well as talks in 88 parallel sessions. The three volumes of the proceedings of MGIXMM present a rather authoritative view of relativistic astrophysics, which is becoming one of the priorities in scientific endeavour. The papers appearing in these volumes cover all aspects of gravitation, from mathematical issues to recent observations and experiments. Their intention is to give a complete picture of our current understanding of gravitational theory at the turn of the millennium. The Marcel Grossmann Individual Awards for this meeting were presented to Cecille and Bryce DeWitt, Riccardo Giacconi and Roger Penrose, while the Institutional Award went to the Solvay Institute, accepted on behalf of the Institute by Jacques Solvay and Ilya Prigogine. The acceptance speeches are also included in the proceedings. Sample Chapter(s) Chapter 1: Gravitational Collapse of the Wavefunction: An Experimentally Testable Proposal (215k) Contents: Part A: Gravitational Collapse of the Wavefunction: An Experimentally Testable Proposal (R Penrose)Local and Global Results on the Cauchy Problem for the Einstein Equations (Y Choquet-Bruhat)Mathematical Challenges of General Relativity (S Klainerman)The Global Initial Value Problem in General Relativity (D Christodoulou)Quantum Gravity at the Turn of the Millennium (G T Horowitz)Spinors, Superalgebras and the Signature of Space-time (S Ferrara)Superstring Phenomenology and Large Extra Dimensions (I Antoniadis)Quantum Strings and Black Holes (T Damour)Gravitational Waves — The New Generation of Laser Interferometric Detectors (B C Barish)TAMA Project (K Tsubono)Resonant-Mass Gravitational Wave Detectors at the Beginning of the New Millennium (E Coccia)Implications of the R-Mode Instability of Rotating Relativistic Stars (J L Friedman & K H Lockitch)Chaotic Phenomena in Astrophysics and Cosmology (V G Gurzadyan)Astrophysical Neutrinos: 20th Century and Beyond (J N Bahcall)Solar and Atmospheric Neutrino Results from Super-Kamiokande (T Kajita)Geodetic Precession in Binary Neutron Stars (M Kramer)The Hot Big Bang: Physics and Cosmology (R B Partridge)Imaging the Early Universe and Measuring the Curvature of Space (P De Bernardis)Type Ia Supernovae and the Accelerating Universe (G Aldering)The Structure of the Universe on 100 Mpc Scales (J Einasto)The Discovery of Gamma Ray Burst Distance and Energy and the Role of BeppoSAX (E Costa)The Cosmic Gamma-Ray Bursts (S G Djorgovski et al.)Black Holes and Gamma Ray Bursts: Background for the Theoretical Model (R Ruffini)Comptonization Processes in Galactic and Extragalactic High Energy Sources (L Titarchuk)X-Ray Novae and the Evidence for Black Hole Event Horizons (R Narayan et al.)Strong Field Gravity and Quasi-Periodic Oscillations from Low Mass X-Ray Binaries (L Stella & M Vietri)Cosmic Journeys: To the Edge of Gravity, Space and Time (N E White)Inertial Forces in General Relativity (C V Vishveshwara)The Slow-Rotation Approximation as a Tool for Spotting and Evading Troubles with Perfect Fluid Models (Z Perjés)GRworkbench: A Computational System based on Differential Geometry (S M Scott et al.)Chaos in Non-Abelian Gauge Fields, Gravity and Cosmology (S G Matinyan)Spin and Rotation in General Relativity — Rapporteur's Introduction (L H Ryder & B Mashhoon)The Einstein Equations on the 3-Brane World: A Window to Extra Dimensions (K-I Maeda)Conformal Fields in Higher Dimensions (S Ferrara & C Fronsdal)Does Superstring Theory Have a Conformally Invariant Limit? (J H Schwarz)Quantum Cosmology at the Turn of Millennium (A O Barvinsky)Holographic Bound from Second Law (J D Bekenstein)The Gravitational Reaction Force on a Particle in the Schwarzschild Background (H Nakano & M Sasaki)Black Holes: New Horizons (S A Hayward)Boson and Axion Stars (E W Mielke & F E Schunck)Quantum Computation and Information (A Carlini)The Challenge of Measuring G (R D Newman)Measuring Gravity at Sub-Millimeter Distances (P Boynton et al.)The Gravitational Wave Data Analysis: A Computing Challenge (F Ricci)Inhomogeneous Cosmology — Workshop Report (A Krasinski)Brane-World Creation and Inflation (M Sasaki)Large Scale Matter Distribution (M Demianski & A Doroshkevich)Dark Matter, Microlensing and the Galactic Mass Functions (L Grenacher & Ph Jetzer)The Hubble Constant from Cepheid Distances Measured with the Hubble Space Telescope (J Mould)Galactic Dust Contamination in the Boomerang Maps (S Masi et al.)CMB Probe Cosmology and Dark Ages (N Sugiyama)The Sunyaev-Zeldovich Effect: Current Status and Future Prospects (Y Rephaeli)Highlights of RXTE Studies of Compact Objects after ~ 5 Years (H Bradt et al.)The BeppoSAX Mission (L Piro)Introduction to the Problems of the Session AP2: Matter, Dark Matter and CP Violation (G Salvini)Are Oscillations Established for Atmospheric v ? (P Lipari)Lingering Problems in Gamma-Ray Observations of GRB's (C Meegan)Notes for a Brief History of Quantum Gravity (C Rovelli)The Princeton Mathematics Community in the 1930s: An Oral History Project, the On-line Version (R T Jantzen) Part B: Geometrical Methods for Integrability in Classical and Relativistic SystemsComplex and Twistor Methods in General RelativityInertial Forces in General RelativityExact Solutions (Mathematical Aspects)Exact Solutions (Physical Aspects)Chaos in General Relativity and CosmologyEinstein–Maxwell SystemThe Role of Spin and Rotation in General RelativityGlobal Structure: Singularities, Cosmic Censorship, AsymptoticsMetric-Affine Gravitational Theories in 4 DimensionsKaluza-Klein TheoriesAlternative TheoriesFrom (Super) Gravity to GlueballsP-Branes, Supergravity and M-TheoryStrings, Gravity and UnificationString CosmologyBlack Holes in String TheoryQuantum Geometry (I)Quantum Geometry (II)Dynamics Without BackgroundRole of Reference Frames in Quantum GravityQuantum FieldsQuantum CosmologyCasimir EffectSimplicial Quantum GravityNew Developments in Planck Scale PhysicsBlack Hole ThermodynamicsHairy Black HolesPerturbations of Black HolesGeneralized HorizonsPerturbation of Collapsed ConfigurationsSelf-Gravitating Systems Part C: Boson and Axion StarsNumerical RelativityBlack Hole CollisionsQuantum Computation and InformationStrong Gravity and Gravitational WavesTesting General Relativity with Satellite Laser RangingPrecision Gravity MeasurementsGeneral Relativity in SpaceSensitive Tests of the Equivalence PrincipleMeasurements of Gravity at Sub-mm DistancesGravitational Wave Laser Interferometry in the USAGravitational Wave Laser Interferometry in EuropeGravitational Wave Laser Interferometry in Austral-Asia and the PacificSpace Detection of Gravitational Waves (LISA)Resonant Detectors of Gravitational Waves: Bars and SpheresGravitational Wave Data AnalysisTopology of the UniverseNonsingular CosmologyInhomogeneous CosmologyInflationNon-Gaussian Models of Structure FormationCompact Spaces with Negative CurvatureCosmological Constant and Universe AccelerationBrane and Higher Dimensional CosmologiesObservational CosmologyGravitational LensesMicrolensesGalaxy Formation and EvolutionCurrent Observations of CMB AnisotropyCMB Anisotropy: Theory and Analysis MethodsSZ Effect and CMB Analysis MethodsObservations from the Rossi ObservatoryObservations from ASCA and ROSATObservations from BeppoSAX SatelliteAccretion Processes Around Neutron Stars and Black HolesAstrophysical Black HolesBinary Neutron Stars — Coalescing Neutron StarsGeneral Relativistic Effects in Neutron Stars and Black HolesRadiative Transfer in General RelativityOn r-Mode Instabilities in Neutron StarsMassive NeutrinosMatter, Dark Matter and CP ViolationCosmic Neutrino OscillationsHigh Energy Astronomy and Ultrahigh Energy Cosmic RaysExperimental Status of Neutrino MixingGamma Ray Burst X-Ray AfterglowGamma Ray Burst Optical ObservationsGamma Ray Burst Gamma ObservationsOngoing and Future of Gamma Ray Burst MissionsFireballs and Gamma Ray BurstsBlack Holes and Gamma Ray BurstsEinstein Theories: Historical Perspective Readership: Graduate students in physics and physicists interested in general relativity, gravitation, astrophysics, quantum gravity, particle physics, cosmology and theoretical physics.Keywords:General Relativity;Astrophysics;Gravitation;Universe;Space;Time;Cosmos;Quantum Field Theory;CosmologyReviews:“… C'est un monument de toute la Relativité à l'aube du troisième millénaire, j'y trouve une foule de richesses qui éclairent à nouveau ma vision du monde …” “… This is a monument to all of relativity at the dawn of the third millennium, I find in it a wealth of richness which brings new light to my vision of the world …” Yvonne Choquet Bruhat (Member of the French Academy) “… I have received the three volumes of the Marcel Grossmann Meeting. I am full of admiration. I think it will be a reference book for the years to come. I am impressed by the fact that some of the problems we are studying are close to the problems discussed in various articles …”Ilya Prigogine

New Developments On Fundamental Problems In Quantum Physics

Author : M. Ferrero
ISBN : 9789401158862
Genre : Science
File Size : 84. 15 MB
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Quantum theory is one of the most fascinating and successful constructs in the intellectual history of mankind. Nonetheless, the theory has very shaky philosophical foundations. This book contains thoughtful discussions by eminent researchers of a spate of experimental techniques newly developed to test some of the stranger predictions of quantum physics. The advances considered include recent experiments in quantum optics, electron and ion interferometry, photon down conversion in nonlinear crystals, single trapped ions interacting with laser beams, atom-field coupling in micromaser cavities, quantum computation, quantum cryptography, decoherence and macroscopic quantum effects, the quantum state diffusion model, quantum gravity, the quantum mechanics of cosmology and quantum non-locality along with the continuing debate surrounding the interpretation of quantum mechanics. Audience: The book is intended for physicists, philosophers of science, mathematicians, graduate students and those interested in the foundations of quantum theory.

The Tenth Marcel Grossmann Meeting

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ISBN : 9789814478540
Genre :
File Size : 62. 59 MB
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Modern Canonical Quantum General Relativity

Author : Thomas Thiemann
ISBN : 9781139467599
Genre : Science
File Size : 42. 92 MB
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Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.

Primordial Cosmology

Author :
ISBN : 9814271004
Genre : Science
File Size : 36. 41 MB
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Primordial Cosmology deals with one of the most puzzling and fascinating topics debated in modern physics — the nature of the Big Bang singularity. The authors provide a self-consistent and complete treatment of the very early Universe dynamics, passing through a concise discussion of the Standard Cosmological Model, a precise characterization of the role played by the theory of inflation, up to a detailed analysis of the anisotropic and inhomogeneous cosmological models. The most peculiar feature of this book is its uniqueness in treating advanced topics of quantum cosmology with a well-traced link to more canonical and pedagogical notions of fundamental cosmology.This book traces clearly the backward temporal evolution of the Universe, starting with the Robertson–Walker geometry and ending with the recent results of loop quantum cosmology in view of the Big Bounce. The reader is accompanied in this journey by an initial technical presentation which, thanks to the fundamental tools given earlier in the book, never seems heavy or obscure.

Loop Quantum Gravity The First 30 Years

Author : Ashtekar Abhay
ISBN : 9789813220010
Genre : Science
File Size : 29. 51 MB
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This volume presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of younger leading researchers. It takes the reader from the basics to recent advances, thereby bridging an important gap. The aim is two-fold — to provide a contemporary introduction to the entire field for students and post-docs, and to present an overview of the current status for more senior researchers. The contributions include the latest developments that are not discussed in existing books, particularly recent advances in quantum dynamics both in the Hamiltonian and sum over histories approaches; and applications to cosmology of the early universe and to the quantum aspects of black holes.

Quantum Gravity Research Trends

Author : Albert Reimer
ISBN : 1594543240
Genre : Science
File Size : 67. 20 MB
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Quantum Gravity Research Trends

Quantum Geometry

Author : Margaret Prugovecki
ISBN : 9789401579711
Genre : Science
File Size : 59. 61 MB
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