List of Figures
Figure 1:
Heisenberg’s microscope. A photon moving along the axis scatters off a probe within an interaction region of radius and is detected by a microscope (indicated by a lens and screen) with opening angle . 

Figure 2:
The length of a string is not the same as its average extension. The lengths of strings in the groundstate were studied in [173]. 

Figure 3:
Spacetime uncertainty (red, solid) vs uncertainty from spherical black holes (blue, dotted) in dimensions, for (left) and (right). After [318], Figure 1. Below the bound from spacetime uncertainty yet above the blackhole bound that hides shortdistance physics (shaded region), the concept of classical geometry becomes meaningless. 

Figure 4:
Cross section for scattering of two scalar particles by graviton exchange with and without running Planck mass, in units of the lowenergy Planck mass . The dotdashed (purple) line depicts the case without asymptotic safety; the continuous (blue) and dashed (grey) line take into account the running of the Planck mass, for two different values of the fixed point, and respectively. Figure from [261]; reproduced with permission from IOP. 