In the DS9 Episode Explorers, Ben Sisko builds a replica of a ship modelled on an 800 year old Bajoran model. The surprise is that this ship is designed to catch tachyon beams to cross vast realms of space. Ben ends up travelling across the galaxy to the Cardassian system, proving that the ancient Bajorans could have done this.
Now Thor Heyerdahl built a balsa wood ship in South America, and managed to sail is across to the Pacific Islands (ie across the whole Pacific). We know that the Pacific Islands have some DNA traces of South Americans, and that South American potatoes are in the South Pacific.
My question is: Is the DS9 Explorers episode based on Thor Heyerdahl's cruise?