Weak energy condition basically it’s the idea you can’t have negative energy density.
Energy density is, as far as ELI5 is concerned. The same as regular density, only for energy. So it’s just amount of energy in a given volume.
Alcubierre drives hypothetically work, in part, by have an area with a negative energy density. Which obviously violates that.
As far as relativity is concerned this it impossible, everything has positive energy. But there’s some weird quantum stuff that does appear to have negative energy. Whether that could ever be scaled up to create a warp drive is a bit of an open question.
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