2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194341By introducing the generalized uncertainty principle (GUP) on quantum density states, we newly obtain a consistent entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff in contrast to the results of the brick wall model, which depend on the choice of the Hawking temperature for the extremal case.12 pagesGeneral Relativity and Quantum Cosmologytext