I meant to say that they were a leader in early adoption of high-quality video codec technologies, such as H.264, and I thought I read somewhere that they are working on implementing H.265 which is supposedly capable of having twice the compression with the same quality, and supports resolutions up to 8K for movie theaters.
https://www.apple.com/pr/library/2004/06/23H-264-Video-Codec-Adopted-for-Next-Generation-DVDs.html
I'm glad this post has stirred up some debate. The more I think about it, the more I'm leaning towards Apple not incorporating 4K into the next iPhone. It's an intriguing thought that the iPhone 6 could, in theory, handle 4K capture. But as someone else said, the file sizes are just too huge. Even if they could get 4K up and running on H.265, they would be saving 64% on compression over H.264. 4K is roughly 4x the file size of 1080p, so even a 64% reduction makes for huge files. My phone is always filling up with 1080p videos of my newborn daughter, and it's 64GB, so 4K would destroy it. Apple would have to come up with a revolutionary new codec to get it to work. And those huge file sizes would absolutely destroy their new iCloud Drive network (unless it only syncs 1080p, but then you'd have to do a lot of CPU intensive scaling before uploading). Yeah, so it probably won't be included until the iPhone 7 or 7S at the earliest. I can wait, and will hopefully have a 4K display by then.
What I now think Apple may do, however, is tap that A8 chip to do some fancy stuff with the camera. It would be neat if they used that patent from a while back that takes a series of quick photos (I think they were shifted slightly using the OIS) and combines them into a single higher-megapixel image. Or you could even capture multiple focal points in quick succession if you have a faster focusing mechanism, and make a photo that you can focus after the fact like a Lytro but high-res. Or even better HDR processing. There are lots of cool tricks you can do with a camera that has access to an insanely fast processor and cutting-edge software.