Abstracts

Jerzy Lewandowski

The issues and results of canonical (loop) quantum gravity

The new framework of Loop Quantum Gravity allows to introduce and consider quantum scalar constraints smeared against any lapse function. The property of self adjointness imposes conditions on the construction. Perturbation in the inverse of the Barbero-Immirzi gives a new tool for approximations. The resulting quantum theory framework is useful for both, the vacuum quantum gravity and gravity coupled to matter. Those results will be reviewed in the talk. A new class of the relational Dirac observables in general relativity is obtained by combining the idea of adapted coordinates used in covariant gravity with the canonical framework. Surprising properties of that relational framework will be discussed.