An outstanding open issue in our quest for physics beyond Einstein is the unification of
general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading …

This is a review of results on black hole physics in the context of loop quantum gravity. The
key feature underlying these results is the discreteness of geometric quantities at the Planck …

A bstract In the tetrad formulation of gravity, the so-called simplicity constraints play a central
role. They appear in the Hamiltonian analysis of the theory, and in the Lagrangian path …

Intertwiners are the building blocks of spin-network states. The space of intertwiners is the
quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we …

arxiv:1102.3660v5 [gr-qc] 3 Aug 2011 Page 1 Zakopane lectures on loop gravity Carlo Rovelli
Centre de Physique Théorique de Luminy, Case 907, F-13288 Marseille, EU (Dated: August 4 …

In the quest of a physical theory of quantum gravity, spin foam models, or in short spinfoams,
propose a well-defined path integral summing over quantized discrete space-time …

A gravitationally collapsed object can bounce out from its horizon via a tunnelling process
that violates the classical equations in a finite region. Since tunnelling is a nonperturbative …

A number of approaches to four-dimensional quantum gravity, such as loop quantum gravity
and holography, situate areas as their fundamental variables. However, this choice of …

By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

Building on recent advances in defining Wilsonian renormalization group (RG) flows, and
the notion of scales in particular, for background-independent theories, we present a first …