LOL this is nothing other than Sony throwing a bigger engine into a car with the same transmission, wheels and spedometer.
Only rumour mongering sillyness is supporting the notion that the PS4 is going to have ANY graphics advantage over the XBone. Even if you took the hardware differences at face value, the difference between the two machines is very slight.
How slight is the difference? Sony has 18 Units(with GDDR5) and Xbone has 12 Units(with DDR3), having 50% more horse power of GPU and bigger bandwidth is slight diff? Also they are unified unlike Xbone which is fragmented which is bad for gaming already proved with PS3 memory.
The hardware is used for not only Graphics this time but also General computing by Sony which they have showed us with a Physics demo and some explanation on GPU modifications on reveal.
We might not see big graphics differences with third party Games but with sony Studios we might see some great experiences without giving a lot of compromise where xbone needs have to rely on Cloud.
GAMING is not about spending hours to pass/waste our time just for fun,
its a Feeling/Experience about a VIRTUAL WORLD we can never be in real, and realizing some of our dreams (also creating new ones).
So, Feel Emotions, Experience Adventure/Action, Challenge Game, Solve puzzles and Have fun.
PlayStation is about all-round "New experiences" using new IP's to provide great diversity for everyone.
Xbox is always about Online and Shooting.
Nintendo is always about Fun games and milking IP's.