also this is a surprisingly common situation throughout the world

merchant has internet, customer does not

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yes, merchant usually doesn't move, customer does!

what about the traveling salesman 👳

His customers are hopefully in there own homes and offices 😂

There isn't a way for an offline sender to lock ecash to an offline receivers public key, right? (assuming sender has the exact tokens denominations needed)

one of them has to be online

the opposite could also exist, tho probably less common:

vending machine (offline) - customer mobile (online)

in that case, customer/sender can create offline verifiable tokens

This was a specific design goal for my Bitcoin Deposits proposal. Always-online vault pays an invoice based on onion message for the invoice and max fee signed by the deposit private key. Potentially a single NFC tap by an offline customer

This is going to take off unbelievably in Africa, we haven't seen anything yet.