Congrats on finally getting your hands on the GH4. ;p
See:
Should also note the slightly different crop factor (2.3x) when shooting in 4K. Some say it's also slightly different between the two modes: DCI 4K (2.2x), UHD (2.3x)
Why the need to be so wide at 4096x2160 ?
Thanks
See:
4K vs. UHD
The simplest way of defining the difference between 4K and UHD is this: 4K is a professional production and cinema standard, while UHD is a consumer display and broadcast standard. To discover how they became so conflated, let’s look at the history of the two terms.
The term “4K” originally derives from the Digital Cinema Initiatives (DCI), a consortium of motion picture studios that standardized a spec for the production and digital projection of 4K content. In this case, 4K is 4096×2160, and is exactly twice the previous standard for digital editing and projection (2K – 2048×1080). As you can see, 4K clearly refers to the fact that the vertical resolution (4096) is just over four thousand. The 4K standard is not just a resolution, either: It also defines how 4K content is encoded. A DCI 4K stream is compressed using JPEG2000, can have a bitrate of up to 250 megabits per second (Mbps), and 12-bit 4:4:4 color depth and image quality. (See: How digital technology is reinventing cinema.)
Ultra High Definition, or UHD for short, is the next step up from Full HD — the official name (that no one uses) for the display resolution of 1920×1080. UHD doubles that resolution to 3840×2160. It does not take a genius to see that 3840 is actually quite far away from four thousand. Almost every TV or monitor that you see advertised as “4K” is actually UHD. There are some panels out there that are 4096×2160 (aspect ratio 1.9:1), but the vast majority are 3840×2160 (1.78:1). If you displayed 4K content on one of these “4K” displays you would get letterboxing (black bars) down the left and right side of the screen. There isn’t yet a specification for how UHD content is encoded (which is one of the reasons there’s almost no UHD content in existence), but it’s unlikely to be the same quality as DCI 4K.
http://www.extremetech.com/extreme/174221-no-tv-makers-4k-and-uhd-are-not-the-same-thing
Should also note the slightly different crop factor (2.3x) when shooting in 4K. Some say it's also slightly different between the two modes: DCI 4K (2.2x), UHD (2.3x)