The Playstation 4 isn't fast enough to do 4k or 1440P, You would be dreaming to think otherwise, the Playstation 5 could potentially make it happen.
The Playstation 4 as it stands now doesn't have the memory bandwidth or GPU hardware to pull it off.
Heck, games now are already having resolution/framerate downgrades anyway even on the Playstation 4 and that could be the norm later on in the generation as developers make sacrifices in one area to bolster others for a greater overall improvement in a scene.
--::{PC Gaming Master Race}::--