A minimal Length Uncertainty Approach to Cosmological Constant Problem

TL;DR

This paper proposes a novel approach linking quantum minimal length uncertainty to the cosmological constant problem, using gravitational wave data to constrain theoretical parameters and suggest a potential resolution.

Contribution

It introduces a minimal length uncertainty framework that connects quantum gravity effects with cosmological observations to address the cosmological constant problem.

Findings

GUP parameter constrained by gravitational wave observations

Modified dispersion relations estimated for gravitons and photons

Potential solution to the cosmological constant problem proposed

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 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.