Burn a single HD video into a DVD without losing quality
The short answer is "No."  DVD by definition is limited to 720x480 video with a fairly low bitrate, compressed specifically with MPEG-2.  There is absolutely no way to make your HD video look just as good with those constraints.

Some DVD players do let you play .mp4, .mkv, or whatever files that happen to be stored on a DVD, but that isn't a standard function of DVD players in general.