The problem of describing the quantum behavior of gravity, and thus understanding
quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this …

This article reviews the present status of the spin-foam approach to the quantization of
gravity. Special attention is payed to the pedagogical presentation of the recently-introduced …

This timely volume provides a broad survey of (2+ 1)-dimensional quantum gravity. It
emphasises the'quantum cosmology'of closed universes and the quantum mechanics of the …

The problem of time in quantum gravity calls for a relational solution. Using quantum
reduction maps, we establish a previously unknown equivalence between three approaches …

We extend the definition of the “flipped” loop-quantum-gravity vertex to the case of a finite
Immirzi parameter γ. We cover both the Euclidean and Lorentzian cases. We show that the …

A bstract We investigate a new approach to holography in asymptotically AdS spacetimes, in
which time rather than space is the emergent dimension. By making a sufficiently large T 2 …

We give a brief overview of the properties of a higher-dimensional generalization of matrix
model which arise naturally in the context of a background approach to quantum gravity, the …

We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at
both kinematical and dynamical level, in terms of a Fock space of spin networks, and show …

Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the
most popular of these, the Barrett-Crane model, does not have the good boundary state …

Our work intends to show that:(1) Quantum Neural Networks (QNNs) can be mapped onto
spin-networks, with the consequence that the level of analysis of their operation can be …