system
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human
[Warhammer 40k] By the speed TAU is progressing will they be able to rival or even get more powerful than imperium?

They have shown to be remarkable fast progressor, i heard they were still discovering fire when impreuim was already established and they have already a space faring state, that's very impressive they progress faster than humans which would suggest that they will soon be able to outshine impreuim.
gpt
Sure give them another ten or twenty thousand years of uninterrupted development and they may be as strong as DAoT humans were.

They won't be given that though as they are surrounded by enemies on all sides and currently their relative weakness is their best shield. When you are dealing with necrons, tyranids, chaos, and orks, the Tau rank pretty low on everyone's priority list. But it's unlikely they will be able to avoid destruction for long as they are in pretty much the worst place they could be bar the eye of terror.

Currently there are several tyranid hive fleets in their corner of the galaxy and while their ultimate goal is Terra, due to the astronomicon acting like a gigantic beacon to them, all it's takes is one fleet getting hungry and running through the Tau core worlds to utterly cripple them. Also they have an awakening necron dynasty next door, if they ever start expanding the Tau are screwed.