2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105974In this letter it is proposed another generalization of the Verlinde's maps for the case $Λ\neq 0$. Thermodynamical arguments combined with this proposal conduce to a inverse square-law cosmological term behavior.7 pages, minor changes added. v3: Minor changes in title, content and style; acknowledgments and references added; v4 Minor changes and references addedHigh Energy Physics - Theorytext