2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194526We show that Supercritical-String-Cosmology (SSC) off-equilibrium and time-dependent-dilaton effects lead to a smoothly evolving dark energy for the last 10 billion years in concordance with all presently available astrophysical data. Such effects dilute by a factor O (10) the supersymmetric dark matter density (neutralinos), relaxing severe WMAP 1,3 constraints on the SUSY parameter space. Thus, LHC anticipated searches/discoveries may discriminate between conventional and Supercritical-String Cosmology.13 pages revtex, 5 eps figures incorporated. Version to appear in Physics Lett. B, no effects on conclusionsHigh Energy Physics - PhenomenologyAstrophysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheorySmoothly evolving Supercritical-String Dark Energy relaxes Supersymmetric-Dark-Matter Constraintstext