This topical review gives a comprehensive overview and assessment of recent results in
causal dynamical triangulations, a modern formulation of lattice gravity, whose aim is to …

Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

More than 65 years ago, John Wheeler suggested that quantum uncertainties of the metric
would be of order one at the Planck scale, leading to large fluctuations in spacetime …

Quantum theory seems to be a universal framework for physical theories. In fact, most of the
interactions found in Nature are already successfully accommodated into this framework …

Asymptotic safety describes a scenario in which general relativity can be quantized as a
conventional field theory, despite being nonrenormalizable when expanding it around a …

We present the first direct and nonperturbative computation of the graviton spectral function
in quantum gravity. This is achieved with the help of a novel Lorentzian renormalization …

Nonlinear special relativity (or doubly special relativity) is a simple framework for encoding
properties of flat quantum spacetime. In this paper, we show how this formalism may be …

In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a
functional renormalization group approach that disentangles dynamical metric fluctuations …

Starting from certain causality conditions and a discrete form of general covariance, we
derive a very general family of classically stochastic, sequential growth dynamics for causal …

Causal Dynamical Triangulations in four dimensions provide a background-independent
definition of the sum over geometries in nonperturbative quantum gravity, with a positive …