Abstract
Several pulsar timing array(PTA)collaborations have recently reported the evidence for a stochastic gravitational-wave back-ground(SGWB),which can unveil the formation of primordial seeds of inhomogeneities in the early universe.With the SGWB parameters inferred from PTAs data,we can make a prediction of the seeds for early galaxy formation from the domain walls in the axion-like particles(ALPs)field distribution.This also naturally provides a solution to the observation of high redshifts by the James Webb Space Telescope.The predicted photon coupling of the ALP is within the reach of future experimental searches.