I will discuss some aspects of the concept of "point" in quantum gravity,
using mainly the tool of noncommutative geometry. I will argue that at Planck's
distances the very concept of point may lose its meaning. I will then show how,
using the spectral action and a high momenta expansion, the connections between
points, as probed by boson propagators, vanish. This discussion follows closely
[1] (Kurkov-Lizzi-Vassilevich Phys. Lett. B 731 (2014) 311, [arXiv:1312.2235
[hep-th]].Comment: Proceedings of the XXII Krakow Methodological Conference: Emergence
of the Classical, Copernicus Centre, 11-12 October 2018. Mostly based on
arXiv:1312.2235. V2 corrects several typo
