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I certainly don't understand how a ZK proof could validate the entire chain.

You'll probably want to check out zerosync, they pioneered this (and afaik they were/are Starkware funded)

Paper: https://zerosync.com/zerosync.pdf
Website: https://zerosync.com/

If you want to check a presentation, see the start of #299018 (alt link in case youtube thinks that you're a bot like me)

thanks! I will!

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