The wording might not be clear, but I assume the pop-in on the PS4 is the same as the Xbone. Obviously doesn't happen on PC though.
http://www.joystiq.com/2013/10/30/ba...up-against-pc/
Battlefield 4 on PS4 gives console players their first taste of the fluidity and frenzy that PC players have enjoyed in multiplayer for years now. The Xbox One port, while just as fluid, isn't quite as sharp.
Playing through the entire campaign on Xbox One, I noticed the same consistent frame rate throughout. The most obvious difference between the two platforms was the upscaled resolution. The Xbox One version of Battlefield 4 ran at a native 720p resolution that was upscaled to 1080p, just like other Xbox One games such as Killer Instinct. A major issue with the Xbox One presentation was aliasing. Objects like helicopters, cars and buildings had jagged edges that weren't present in the PS4 version.
The Xbox One installment, on the other hand, wasn't nearly as crisp but was certainly adequate.