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What does OP mean with "liquidity issues"? Lightning is a routing network, and you can connect directly to your counterparty, circumventing all potential liquidity issues.

> But companies and organizations routinely transfer millions and billions between normal banks

Just like companies have direct lightning channels between each other, they can send billions of they please.

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You're being disingenuous. A channel needs to be already funded before a transaction can happen, with an amount at least the size of the transaction. So, to transfer billions, you need billions more to first fund the channel. A quick search shows that most channels currently have less than $100 in them, limiting how much you can send without prior arrangement.

> A quick search shows that most channels currently have less than $100 in them, limiting how much you can send without prior arrangement.

Note that not all channels are public, so you won't find all in searches. I'm only saying that you shouldn't be worried about lightning liquidity if you can directly connect to your counterparty - as you can directly transact with that party without relying on any liquidity from anyone else.

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