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We might be thinking about this wrong. 1 sat = 1 dollar could mean sats become more valuable or the dollar becomes less valuable. If 1 sat increases in value, then sats lose some of their magic. If dollars lose value, nothing changes.
Good insight - I suppose, it's more about what $1 can purchase when 1 sat = 1 dollar.
If the dollar inflates to the point in which anything less than a dollar (by today's standards - pennies, nickels, etc) has zero utility then the dollar becomes the base denomination and a 1:1 ratio would have no material impact on transaction capabilities
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