Discriminating quantum gravity models by gravitational decoherence

Several phenomenological approaches to quantum gravity predict the existence of a minimal measurable length and/or maximum momentum near Planck scale. When embedded into framework mechanics, such constraints induce modification canonical commutation relations and thus generalization Heisenberg uncertainty relations, commonly referred as generalized principle (GUP). Different models imply different forms GUP. For instance, in string theory GUP is quadratic operator, while context doubly special relativity it includes an additional linear dependence. Among possible physical consequences, was recently shown that induces universal decoherence mechanism, provided one assumes foamy structure spacetime close length. Along this line, present work we investigate gravitational associated linear-quadratic compare with We find that, despite their similarities, two generalizations yield times are completely uncorrelated significantly distinct. Motivated by result, introduce theoretical experimental scheme based on cavity optomechanics measure time evolution nonlocal correlations corresponding aforementioned mechanisms. deviation between predictions occurs scales macroscopic potentially amenable verification. This scenario provides setting discriminate therefore gravity.