We review the question of whether the fundamental laws of nature limit our ability to probe
arbitrarily short distances. First, we examine what insights can be gained from thought …

Analogue gravity is a research programme which investigates analogues of general
relativistic gravitational fields within other physical systems, typically but not exclusively …

A common feature of all quantum gravity (QG) phenomenology approaches is to consider a
modification of the mass-shell condition of the relativistic particle to take into account …

Renormalization group and the Planck scale | Philosophical Transactions of the Royal Society
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We investigate the non-perturbative renormalization group behavior of the gauge coupling
constant using a truncated form of the functional flow equation for the effective average …

In the average action approach to the quantization of gravity the fundamental requirement of
“background independence” is met by actually introducing a background metric but leaving …

The gravitational effective average action is studied in a bimetric truncation with a nontrivial
background field dependence, and its renormalization group flow due to a scalar multiplet …

We describe the Hamilton geometry of the phase space of particles whose motion is
characterized by general dispersion relations. In this framework spacetime and momentum …

Assuming an effective gravitational action with scale-dependent coupling constants, a
consistency condition for the local form of the cut-off scale is derived. The approach is …

We analyze the conceptual role of background independence in the application of the
effective average action to quantum gravity. Insisting on a background independent …