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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In physicsthe correspondence principle states that the behavior of systems described by the theory of quantum mechanics or by the old quantum theory reproduces classical physics in the limit of large quantum numbers.

The constraints in their primitive form are rather singular, this was the reason for integrating them over test functions to obtain smeared constraints. Loop gravity is a tentative theory to describe what happens at the Planck scale, the scale at which both general relativity and quantum theory become equally important. For example, string theory also addresses unificationthe understanding of all known forces and particles as manifestations of a single entity, by postulating extra dimensions and so-far unobserved additional particles and symmetries.

We need the notion of a holonomy. This is known as the problem triangularization dependence. Etes vous assez paresseux pour devenir riches? Quantum states with non-zero volume must therefore involve intersections. Let us go back to the connection representation.

Because of the above-mentioned lack of a semiclassical limit, LQG has not yet even reproduced the predictions made by general relativity. Any collection of non-intersecting Wilson loops satisfy Ashtekar’s quantum Hamiltonian constraint. Finally, the last aspect of this research studies the dynamics of the boundary interacting with an environment whose degrees quanhique freedom gravitational or matter forming the rest of the Universe and gravitztion the decoherence it induces.

It shows that spinfoam gravity can be derived from a classical action, with spinors as the fundamental configuration variables. Loop quantum cosmologyBig bounceand inflation cosmology. LQG differs from string theory in that it is formulated in 3 and 4 dimensions and without supersymmetry or Kaluza-Klein extra dimensions, while the latter requires both to grabitation true.

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

It appears, then, that one can violate the second law of thermodynamics by dropping an object with nonzero entropy into a black hole. Johannes Aastrup, Jesper M. Solving the Hamiltonian constraint should tell us how quantum states evolve in ‘time’ from an initial spin network state to a final spin network state.

Parce que le trou noir…. However, it is a common misunderstanding that “diffeomorphism invariance” refers to the invariance of the physical predictions of a theory under arbitrary coordinate transformations ; this is untrue and in fact every physical theory is invariant under coordinate transformations this way. Loop quantum gravity, like string theory, also aims to overcome the nonrenormalizable divergences of quantum field theories.

In fact a series of recent papers have been published attempting just this. However, in this article we introduce an approximation scheme for the formal solution of the Hamiltonian constraint operator given in the section below on spinfoams.

However recently physicists have started to consider the possibility of measuring quantum gravity effects mostly from astrophysical observations and gravitational wave detectors. This represents a dramatic simplification of the Poisson bracket structure, and raises new hope in understanding the dynamics and establishing the semiclassical limit.

A detailed study of the quantum geometry of a black hole horizon has been made using loop quantum gravity. The relation between the background-independent formalism and the conventional formalism of quantum field theory on a given spacetime is far from obvious, and it is far from obvious how to recover low-energy quantities from the full background-independent theory.

We consider Gauss’ law only. It is closely related to loop quantum gravity. Ben, euh, il vient de la cosmologie aussi, donc je sais pas exactement….

What is preserved under such transformations are the coincidences between the values the gravitational field take at such and such a “place” quantiqie the values the matter fields take there. This is the only known derivation of this formula from a fundamental theory, for the case of generic non singular black holes. However, there is no known computation of the Immirzi parameter, so it had to be fixed by demanding agreement with Bekenstein and Hawking’s calculation of the black quanttique entropy.

We simply state the result below. Wolfgang Martin Wieland 1 Details. Both approaches use the same Hilbert space, but we do not know whether they actually define the same theory.

## The Chiral Structure of Loop Quantum Gravity

In terms of the above smeared constraints the constraint algebra amongst the Gauss’ law reads. Master constraint programme for loop quantum gravity”. It will be interesting to compare these results to the corresponding super string calculations.

An initial objection to the use of the master constraint was that on first sight it did not seem to encode information about the observables; because the Master constraint is quadratic in the constraint, when one computes its Poisson bracket bocles any quantity, the result is proportional to the constraint, therefore it always vanishes when the constraints are imposed and as such does not select out particular phase space functions.

Quantoque one always has.

New Theory on the Universe’s Birth”. Retrieved 14 September The spin foam dynamics of the topological field theory is well understood. Je te laisse reprendre la main, euh… David: We now consider Wilson loops with intersections.

### TEL – Thèses en ligne – The Chiral Structure of Loop Quantum Gravity

Bouckes is no experimental evidence to date that confirms string theory’s predictions quantiqje supersymmetry and Kaluza—Klein extra dimensions. General covariancebackground independenceand diffeomorphism. 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.

The Poisson bracket amongst spatial diffeomorphisms constraints reads. This allows to discuss the quantum to classical transition and understand, in a given model, the pointer states of geometry. This dramatic simplification seemed to open up the way to quantizing the constraints.