No, it won't be available on the PS4.  The PS Vita uses a PowerVR-based GPU.  Only Microsoft, Nvidia, and PowerVR (formerly VideoLogic) have technology patents for tiled resources.

EDIT:  Didn't answer everything.

Yes, most likely but it doesn't have to be.  I don't know if it's more efficient, but it can potentially offer better graphic fidelity.  Nothing I've read suggests it's more taxing.  If anything it would be less taxing.  For example, if you have an irregular object, the normal way to build it would be to render the closest shape, then add to it with more polygons.  With tiled resources, you don't.  The entire shape of the object is calculated and only the final object is rendered.  Another example would be an open window.  Normally, an open window isn't open.  It's a part of the shell.  The texture and physics associated with it are just different.  You still render that "empty" space.  With tiled resources, you don't.  With tiled resources an open window is an open window.  A crack in a wall is a crack in a wall.  It isn't a matter of a texture that gives you the impression of it not being there, and it isn't tessellation.  The void space of the crack isn't rendered. 

I wonder if game developers have already started to use this on Xbox One games?

Thanks, I know it is complexly trivial what they call it. But I remember with the current Xbox 360 we have DirectX 9.0C.  Now we get DirectX 11.2 I just find it a bit funny.

I do still wonder what DirectX 12 is going to be.  It will probably require a hugely powerful more than 10+Tflop GPU in my guess.  It is just conjecture though, from how tech is advancing.

I am still amazed how they can optimize something that has been out for a few years. Impressed by that I am.

Windows 2000 = Windows 5.0
Windows XP = Windows 5.1
Windows Vista = Windows 6.0
Windows 7 = Windows 6.1
Windows 8 = Windows 6.2
Windows 8.1 = Windows 6.3

Despite the fact that there are major visual differences in the UI, the kernel is largely the same from Vista to Windows 8.1.  Windows XP and Windows Vista weren't simply visually different.  There were major funtional, core changes in how the OS functioned.  In fact, more were supposed to happen, but never did.  The biggest one that didn't make it was the plan to build the OS upon SQL.  The idea being, store everything in a blob in a database.  That's the reason why Winsows Vista consumes all your memory and delegates it back to any programs you run, it's the same way SQL actually works.

With Windows 7, it was just a matter of removing some of those functional changes intended for a SQL-based file allocation table.

Also, up until SharePoint 2010, this was also how SharePoint worked.  All files got stuffed into SQL Server as a blob.  However, it becomes inefficient when the files become too large.  Essentially, the same thing happened with Windows Vista's new FAT.  It didn't work effieciently.  Cool idea, but it just didn't work out.

The whole point is: Yeah, you never know what you're getting with Microsoft.  Marketing trumps versioning conventions.

DirectX 1 - 9 were actually all minor versions starting with DirectX 4.02 going up to 4.09.

Only when Vista came out did it change to DirectX 6.00 with DirectX 10.