Also, fiat's counterpart in that scenario would be the old ways of travel, i.e. by air, sea, or land, using vehicles.
Just thought of this in light of the recent BTC-e fiasco, where the United States had a Russian citizen arrested in Greece, for violating US laws while running a foreign business.
Not that I doubt they will actually try to still enforce all those laws if teleportation is actually invented. Can you imagine the shitshow that will commence in trying to do so?