A minimal length uncertainty approach to cosmological constant problem

Abstract

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

Modified Brans-Dicke cosmology with Minimum Length Uncertainty

“…This means that quadratic GUP may play role in the description of the inflationary era. The relation between the cosmological constant and the GUP has been investigated before [73,78,79]; however our approach is different. In our approach we introduce new degrees of freedom by modify the Lagrangian for the matter component Without loss of generality we assume the Brans-Dicke Action Integral (4).…”

“…There are various applications of GUP in cosmological studies. Indeed, GUP has been applied as a mechanism for the description of the cosmological constant as quantum effects [35][36][37][38][39]. The predicted value of the cosmological constant by the GUP [39] fails to explain the observations [30].…”