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only if every node have only one peer and they transact only through that channel, back and forth. But if you have more than one and each of those have also more than one, you are already interconnected with the main "chain". Also, both peers are using in fact the same chain, mainchain to open the channel.
Another situation is when you have more "private" lightning networks, as I described here: #843264
0 sats \ 1 reply \ @k00b 23h
i guess it depends on the definition, but i tend to think of ACINQ like it's a sidechain. an individual channel has chronological state, but i suppose it's not really "chaining" transaction history into blocks, nor maintaining chronological state across all channels in an interdependent way.
still, i like the metaphor and thinking about many well-defined psbts as a sidechain-like layering mechanism.
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then each UTXO is also a sidechain :)
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