The 4K resolution of image projectors is different from the 4K UHD standard defined recently for PCs.
That means the resolution is of 4096 x 2400 pixels instead of 3840 x 2160 pixels.
8K would be double the former, normally, but it is a bit hard to implement it, hardware-wise, not to mention expensive.
Fortunately, JVC has found a workaround that may or may not have been inspired by how 3D uses two sets of images to provide the illusion of depth.
Long story short, the DLA-VS4800 projector has a resolution of 4K 4096 x 2400 pixels, but produces two images at the same time, alternating at 120 Hz, and shifted diagonally by a single pixel. This is what doubles the resolution so effectively.
You'll still be limited to 4K input sources though.
Sadly, we aren't sure the tactic deserves the price of over $262,000 / 202,960 Euro.