That is not true, (fundamental) particles experience time (except massless particles moving at the speed of light). Best example are neutrinos which are, as far as we can tell, fundamental and undergo neutrino oscillations nonetheless.
To put it another way: Time cannot exist without mass. Time only exists because everything is always in motion (at least a little bit) and--in our perception--we have a memory/frame of reference.
From the perspective of a photon it lives and dies in an instant. Even if it crosses the entire universe!