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 …

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 …

According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …

“A splendid, edifying report from the front lines of theorectical physics”(San Francisco
Chronicle). In this illuminating book, renowned physicist Lee Smolin argues that …

We propose a deepening of the relativity principle according to which the invariant arena for
nonquantum physics is a phase space rather than spacetime. Descriptions of particles …

Colored tensor models have recently burst onto the scene as a promising conceptual and
computational tool in the investigation of problems of random geometry in dimension three …

I report, emphasizing some key open issues and some aspects that are particularly relevant
for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR”) …

In this easy introduction to higher gauge theory, we describe parallel transport for particles
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …

We show that the effective dynamics of matter fields coupled to 3D quantum gravity is
described after integration over the gravitational degrees of freedom by a braided …

We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …