Quantum gravitational signatures in next-generation gravitational wave detectors

A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate consequences this for inflation cosmological observables by evaluating power spectrum scalar tensor perturbations using two distinct methods. First, we employ PLANCK observations to determine GUP parameter γ0. Then, use value γ0 implications quantum gravity on primordial gravitational waves their possible detectability in next-generation detectors, like Einstein Telescope Cosmic explorer.