It is unknown what the Dawn of the World entails, but it is implied to involve the Poneglyphs. Members of the Mink Tribe such as Nekomamushi and Pedro have stated that they are waiting for the event. Pedro in particular was willing to rip out his own eye in order to convince Big Mom to spare him, as he believed the Dawn of the World was near and he had to return home alive.[4] However, it does not seem to be common knowledge among the minks, as Carrot was unaware of the concept before being told by Pedro.[3]
Pedro eventually became convinced that the Straw Hats will be the ones to lead the world to its dawn, and to that extent he was willing to sacrifice his remaining life to help them on their journey.[2][3] After telling Carrot she would understand the importance of helping the Straw Hats someday, Pedro made his sacrifice by detonating the explosives on his body in order to take out Perospero.[5]
Yamato told Momonosuke that he must survive as he was the one who would guide the world to the dawn.[6]
Trivia
Pedro hoped his exploration crew, later turned pirates, will usher in the new Dawn of the World. Due to his dream, he named them the Nox Expedition Party, with Nox meaning "night", as every night leads to a new dawn.[7]