A minimal length uncertainty approach to cosmological constant problem

Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations one hand. On other hand this suggests modified dispersion relations (MDRs) enabling an estimation difference between group velocity of gravitons and photons. Utilizing features UV/IR correspondence obvious similarities GUP (including non-gravitating gravitating impacts Heisenberg principle) discrepancy theoretical observed cosmological constant (apparently manifesting influences vacuum energy density), suggest a possible solution problem.