DEVELOPPEMENT MATHEMATIQUE ET APPLICATIONS DE LA GRAVITATION QUANTIQUE A BOUCLES. Thesis (PDF Available) · January. Des chercheurs de l’Institut Périmètre travaillent activement sur un certain nombre d’approches de ce problème, dont la gravitation quantique à boucles, les . 19 avr. A quantum theory of gravitation aims at describing the gravitational La gravité quantique à boucles étant toujours une théorie en cours de.

Author: | Gojora Arashitilar |

Country: | Bolivia |

Language: | English (Spanish) |

Genre: | Career |

Published (Last): | 17 December 2012 |

Pages: | 446 |

PDF File Size: | 10.95 Mb |

ePub File Size: | 8.91 Mb |

ISBN: | 597-2-79647-405-8 |

Downloads: | 87842 |

Price: | Free* [*Free Regsitration Required] |

Uploader: | Bacage |

Using this we can ‘project’ out solutions to the Hamiltonian constraint. Have you forgotten your login? Combining this identity with the simple identity. La correction des copies de Nozman en direct dans Podcast science Robin: In this new formulation of quantum gravity AQG semiclassical states always control the fluctuations of all present degrees of freedom.

Finding the states that are annihilated by these constraints the physical statesand finding the corresponding physical inner product, and observables is the main goal of the technical side of LQG. The background dependence of string theory can have important physical consequences, such as determining the number of quark generations. In LQG this aspect of general relativity is taken seriously and this symmetry is preserved by requiring that the physical states remain invariant under the generators of diffeomorphisms.

La nuit, tous les arbres sont-ils gris?

In doing so the master constraint programme has been satisfactorily tested in a number of model systems with non-trivial constraint algebras, free and interacting field theories. A quantum theory of gravitation aims at describing the gravitational interaction at every scales of energy and distance.

It would therefore be desirable to have higher-dimensional Supergravity loop quantizations at one’s disposal in order to compare these approaches. Symmetry, Integrability and Geometry: Citation Wolfgang Martin Wieland.

According hravitation Einstein, gravity is not a force — it is a property of spacetime itself. Mouis, oui, si tu veux ouais.

In loop quantum gravity LQGa spin network represents a “quantum state” of the gravitational field on a 3-dimensional hypersurface.

Tu vois y a des physiciens sympas en fait. Ca fait parti de ces gens qui sont ces avocats? Then different boundary dynamics are qusntique, both in the isolated and open cases, which shed lights again on the fundamental dynamics. We begin by calculating the entanglement entropy between the interior and the exterior of the region, recovering the holographic law known from classical black hole physics.

### TEL – Thèses en ligne – Entanglement and Decoherence in Loop Quantum Gravity

Planck starblack hole firewalland black hole information paradox. The vast areas of research developed in several directions that involve about 30 research groups worldwide.

Such functions solve the Gauss law, the spatial diffeomorphism constraint and formally the Hamiltonian constraint. The equations were much simplified with the introduction of Ashtekars new variables.

Newton’s law of universal gravitation History of gravitational theory.

This thesis analyzes this problem in loop quantum gravity with tools borrowed from quantum information theory. We consider Gauss’ law only. Distance exists with a quantoque. Ben, euh, il vient de la cosmologie aussi, donc je sais pas exactement… David: Moreover, one can find none graph changing versions of this master constraint operator, which are the only type of operators appropriate for these coherent states.

In contrast, loop quantum gravity, like general relativity, is manifestly background independent, eliminating the background bouclrs in string theory.

Gravitatikn of the holonomies is equivalent to knowledge of the connection, up to gauge equivalence. Its goal is to unify gravity in a common theoretical framework with the other three fundamental forces of nature, beginning with gavitation and adding quantum features.

A new Hamiltonian formulation of discretised gravity. Jorge Pullin and Jerzy Lewandowski understood that the intersections of the loops are essential for the consistency of the theory, and the theory should be formulated in terms of intersecting loops, or graphs. Faut dire que le sujet est assez motivant.

## Retranscription: la gravité quantique à boucles

Part III, chapter 4. The reason is that the rescaled Hamiltonian constraint is a scalar density of weight two while it can be shown that only scalar densities of weight one have a chance to result in a well defined operator.

It is possible to derive, from the covariant formulation of full quantum theory Spinfoam the correct relation between energy and area 1st lawthe Unruh temperature and the distribution that yields Hawking entropy. Mais il y a aussi dans la boucle, Robin depuis Graviattion. LQG never introduces a background and excitations living on this background, so LQG does not use gravitons as building blocks. Cambridge Monographs on Mathematical Physics. Quantum states with non-zero volume must therefore involve intersections.

This is our final result.

## The Chiral Structure of Loop Quantum Gravity

LQG offers a geometric explanation of the finiteness of the entropy and of the proportionality of the area of the horizon. LQG is formally background independent. General Relativity and Gravitatiln. The Immirzi parameter also known as the Barbero-Immirzi parameter is a numerical coefficient appearing in loop quantum gravity.