't Hooft ultimate building blocks and space-time as an infinite dimensional set of transfinite discrete points

摘要

The note comments on various views expressed by 't Hooft regarding the exact nature of the geometry of space-time and the possibility or the impossibility of introducing a space-time made purely from discrete points. The role of E-infinity in clarifying this question is outlined. (c) 2005 Elsevier Ltd. All rights reserved.