Well, we don't know about "soon" but we do know backwards compatibility is in the works.
It all started when Digital Foundry spotted something odd about a newly released Star Wars: Battlefront PlayStation 4 bundle.
As it turns out, the package comes with four games, including PS2 titles Star Wars: Bounty Hunter , Star Wars: Jedi Starfighter , Star Wars Racer: Revenge and Super Star Wars . These seemed to be the original games running in emulation, which prompted plenty of discussion. Then, Sony made the surprising confirmation to Wired :
"We are working on utilizing PS2 emulation technology to bring PS2 games forward to the current generation … We have nothing further to comment at this point in time."
Of course, this leaves a lot of questions unanswered but for the time being, everyone is buzzing about the prospect of PS2 classics on PS4. And the Sony XDev Europe Twitter account has asked the million-dollar question: Which PS2 games do you want to see on PS4?