Today, Ethereum has ~15 TPS, transactions per second.
What will Ethereum 2.0 be able to process?
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In A rollup-centric ethereum roadmap, Buterin writes:
Rollups have higher TPS as he explains:
It seems very plausible to me that when phase 2 finally comes, essentially no one will care about it. Everyone will have already adapted to a rollup-centric world whether we like it or not, and by that point it will be easier to continue down that path than to try to bring everyone back to the base chain for no clear benefit and a 20-100x reduction in scalability.
But rollups do not weaken Ethereum, which still remains the critical, base layer:
This will help Ethereum distinguish itself as having a stronger security model than other sharded L2 chains, which are all going in the direction of having sharded execution of some form; eth2 would be the base layer that’s just powerful enough to have functionality escape velocity, and no more powerful.