Tales of tails in cosmology

Late time mild inflation (LTMI) proposes to solve the age of the universe p roblem and the discrepancy between locally and globally measured values of the Hubble parameter. However, the mechanism proposed to achieve LTMI is fo und to be physically pathological by applying the theory of tails for the s olutions of wave equations in curved spaces. Alternative mechanisms for LTM I are discussed, and the relevance of scalar wave tails for cosmology is em phasized.