If you want to "stick" to spacetime, there must be a reference frame that is somehow different from all the others. There is presently no experimental evidence for any such frame, despite a century or two of searches by very clever people.
Here's a stupid idea that's based on my definitely flawed understanding of relativity: If having high relative velocity causes time dilation, then wouldn't spinning a disc at relativistic speeds cause that same time gradient? Maybe we just need 99.9% c rad/s fidget spinners to float in the air just like bricks don't.
Found the video on this theory: https://www.youtube.com/watch?v=UKxQTvqcpSg