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.

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It has been argued that singularity avoidance in LQC are by mechanisms only available in these restrictive models and that singularity avoidance in the full theory can still be obtained but by a more subtle feature of LQG. Loop quantum cosmologyBig bounceand inflation cosmology. The master constraint programme has evolved into a fully combinatorial treatment of gravity known as Algebraic Quantum Gravity AQG.

Inclusion of distortion and rotation”. We will then discuss the spinfoam dynamics in terms of these twistorial variables, and arrive at our third result: Instead one expects suantique one may recover a kind of semiclassical limit or weak field limit where something like “gravitons” will show up again.

International Journal of Modern Physics A. Cette condition sur l’absence de torsion est en fait une contrainte secondaire de l’analyse canonique. The theory gives a physical picture of spacetime where space and time are granular and discrete directly because of quantization just like photons in the quantum theory of electromagnetism and the discrete energy levels of atoms.

## The Chiral Structure of Loop Quantum Gravity

The Immirzi parameter also known as the Barbero-Immirzi parameter is a numerical coefficient appearing in loop quantum gravity. It shows that spinfoam gravity can be derived from a classical action, with spinors as the fundamental configuration variables. Gravvitation vacuum Hawking radiation Semiclassical gravity Unruh effect. Wolfgang Martin Wieland 1 Details. It is an invertible function that maps one differentiable manifold to another, such that both the function and its inverse are smooth.

Gravitation quantique Information quantique Intrication. The Conceptual Development of Quantum Mechanics 2nd ed. These identities can be combined with each other into further identities of increasing complexity adding more loops. To guarantee that the metric is real, we have to introduce additional constraints.

It can be represented as a Fourier integral. Quantum gravity String theory Loop quantum gravity Loop quantum cosmology Causal dynamical triangulation Causal fermion systems Causal sets Event symmetry Canonical quantum gravity Superfluid vacuum theory.

This page was last edited on 18 Decemberat Here, we develop the generalisation to SL 2,Cthat is we use twistors to parametrise the phase space of self-dual holonomy-flux variables. This thesis analyzes this problem in loop quantum gravity with tools qauntique from quantum information theory.

We need the notion of a holonomy.

### Loop quantum gravity – Wikipedia

The resulting constraint equations depend on this parameter, yet maintain a polynomial form. Lecture Notes in Physics. Any collection of non-intersecting Wilson loops satisfy Ashtekar’s quantum Hamiltonian constraint.

Canonical voucles relativity was originally formulated in terms of metric variables, but there seemed to be insurmountable mathematical difficulties in promoting the constraints to quantum operators because of quantiqur highly non-linear dependence on the canonical variables.

That is, geometry is quantized. The others are experimental, meaning that there is a difficulty in creating an experiment to test a proposed theory or investigate a phenomenon in greater detail. Quantum states with non-zero volume must therefore involve intersections. This is not guaranteed because of a feature of quantum field theories which is that they have different sectors, these are analogous to the different phases that come about in the thermodynamical limit of statistical systems.

The Pauli matrices satisfy the above relation. Ben, bouffe tout de ce qui a. In fact a series of recent papers have been published attempting just boucled. Frame fields in bouc,es relativityAshtekar variablesand Self-dual Palatini action. This is our first complex of results.

The Structural Foundations of Quantum Gravity. Note that the presence of an inner product, viz Eq 4, means there are no superfluous solutions i. Formulating general relativity with triads instead of metrics was not new.

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Quantum gravity effects are notoriously difficult to measure because the Planck length is auantique incredibly small.

In contrast, gravitons play a key role in string theory where they are among the first massless level of excitations of a superstring.

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 bouclse. This can be seen from the following. These SU 2 variables are usually derived from the Holst action, which contains the Barbero–Immirzi parameter as an additional coupling constant.

Particles like photons as well as changes in the spacetime geometry gravitons are both described gravihation excitations on the string worldsheet.