Electrons accelerate, photons/waves do not. Give it a 'invariant mass' and you will have an acceleration. Take it away, and you will have no acceleration. We know that photons spontaneously can 'fluctuate into a charged fermion-antifermion pair', so there you might assume a momentarily deceleration if for example created outside a event horizon, splitting up aka 'Hawking radiation'.

As for equalizing matterwaves with photons?

Theoretically it's possible, but matter will always have a acceleration phase if set in motion.