A lot of GR phenomena such as wormholes and warp drives can actually be simulated in metamaterials:
How to Build a Warp Drive using Metamaterials
Not just Science Fiction: Electromagnetic Wormholes Possible, say Mathematicians
There have been any number of "No-Go" attempts on both for the past 25 years at least, and the fact that we haven't found any such theorems coupled with finding examples in fields such as material science actually makes me hopeful that someday our descendants may be able to construct them.
Physics is cool!
How to Build a Warp Drive using Metamaterials
Not just Science Fiction: Electromagnetic Wormholes Possible, say Mathematicians
There have been any number of "No-Go" attempts on both for the past 25 years at least, and the fact that we haven't found any such theorems coupled with finding examples in fields such as material science actually makes me hopeful that someday our descendants may be able to construct them.
Physics is cool!