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The video has stirred many people. In my analysis, I conclude it's a hypersonic air-to-air missile.
From the opening scene, we seen a long horizontal contrail that extends tens of miles into the distance. It should be obvious to you the hypersonic missile is not that far above the ground/city and flying horizontally. If the missile had been flying vertically, the camera would have to pan up dramatically (like a Shenzhou flight). Instead, the horizon line in the video is relatively constant.
The hypersonic air-to-air missile flight shares the same "bow shock" as a hypersonic ballistic missile/rocket (see Shenzhou 9 flight). However, in the video, the hypersonic air-to-air missile has a blindingly white nose cone. This is a result of traveling hypersonically in dense low-altitude atmosphere. You never see a blindingly white Shenzhou nose cone, because it travels hypersonically through the rarefied high-altitude atmosphere.
The PLA has to conduct its hypersonic air-to-air missile test over continental China, because the U.S. has many sensors on ships waiting offshore to monitor a seaborne test. No one wants to share their test flight data with the other side.
The PLA probably intentionally conducted the test on a day with high moisture level to create an easily discernible bow-shock trail for later analysis.
The timing of the test during twilight was also probably intentional to create a high-contrast video. The video of the hypersonic test flight can be analyzed through spectroscopy to determine the temperature of the hypersonic air-to-air missile's nose cone.
After 30 seconds into the video, the bow-shock briefly stops and a second bow-shock is seen. This looks like the missile slowed down and then picked up speed again. Did the PLA intentionally throttle the engine momentarily as part of the test?
I believe the Chinese air-to-air missile is hypersonic, because I've never seen a bow shock this large. Supersonic aircraft or missiles create very small bow shocks and moisture condensation. Ramjets "as a class work most efficiently at speeds around Mach 3." I think China was testing a higher-speed hypersonic scramjet engine.