2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36244We present a straightforward and self-contained introduction to the basics of the loop approach to quantum gravity, and a derivation of what is arguably its key result, namely the spectral analysis of the area operator. We also discuss the arguments supporting the physical prediction following this result: that physical geometrical quantities are quantized in a non-trivial, computable, fashion. These results are not new; we present them here in a simple form that avoids the many non-essential complications of the first derivations.11 pagesGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext