64-Bit and DirectX 11

[Shioban]

DirectX 11 doesn't run on a PS4 at all, DirectX is a microsoft API.
the Playstation uses something much closer to OpenGL (but not opengl) as well as bare metal programming.
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Clearly you need to do more research, as it's something we've already done successfully thanks to the swap to a x86 based architecture making it a slightly task.

The PS4 does support DirectX 11 regardless of the fact that it's a Microsoft API, whether or not Square Enix will take the opportunity to utilize this or simply stick with the OpenGL iteration they've used previously is anyone's guess.