Why Proof-of-Work Does Not Scale
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The part about exponential complexity does not make sense.
It is also weird that they draw a blockchain where the nodes forks can collapse later. Bitcoin can't do it, but Ethereum has something like that with uncle chain rewards. I'm almost sure that part of the graph it is a lucky coincidence, not a deep understanding of the different chains.
There existing n forks, even at a bare minimum of 3 forks of the same height is very common, especially if you consider how many miners there are in the entirety of the Bitcoin network.
Probably 3 forks is a good number, but I'd like to see some data. Anyway, it's a linear problem that is adjusted automatically by the difficulty to find the next block. It's not an exponential problem that makes the protocol unpractical at scale.
For some data, look into orphan blocks: https://www.blockchain.com/btc/orphaned-blocks