To be simple would be to say the video uses multiple 3d layers to crate the illusions of depth (such as the city scenes) and applies filters over the top of them to create the warped colors, small effects, etc.
Maybe that’s a little vague?
The scenes with the brown background could be overlapped layers of two looping segments and a filter applied over the imagery of the lead singer.
I can break it down scene by scene if you need more info…