The song describes the story of Final Fantasy XIII-2 and the relationships between Serah Farron and her sister Lightning, as well as her fiancée, Snow Villiers. It may also allude to the relationship between Noel Kreiss and Paddra Nsu-Yeul. The song is about finding the strength to carry on even after being apart from loved-ones across time and space, a common theme in Final Fantasy XIII-2.
Two people have left Serah since the ending of Final Fantasy XIII. Lightning disappeared right after Cocoon fell, and Snow left two years later. Serah thinks both of them constantly. Noel, the game's other protagonist, is always thinking of Yeul, the person whose Guardian he wanted to become but she died while still young leaving Noel alone. After Serah passes, she leaves people behind, most notably Lightning, who crystallizes herself in order to preserve Serah's memory and the "new world" she fought to create. Noel also leaves a message to his past self that can be found in New Bodhum 700 AF, where he alludes to Serah's death and tells himself to stay strong because there are "dark times" to come and he will have to face them without having Serah by his side.
The song talks about "seeing the New World" with "the love you gave me". Many people in Final Fantasy XIII-2 fight with the power of love. Serah's love for Snow and Lightning gives her the strength to start her quest. The situation is similar to Noel in regards to Yeul. At the end of the game, Lightning's hope for the future is restored after she learns that Serah was ready to die for her sake in order to give Lightning a future worth living in, even if she wouldn't be able to be there herself.
The "new world" may allude to the unexplored world of Gran Pulse where the people of Cocoon were forced to migrate to after the catastrophe, and it is largely a new realm for both protagonists Serah and Noel; for Serah because she is from Cocoon, and for Noel because he hails from another time. The "new world" also alludes to the new future that Serah and Noel want; they want to change the future and eradicate the Dying World from the timeline, effectively remaking the world into a "new world". Another allusion is at the end of the game, when Lightning decides to crystallize herself with Serah's wish in her heart. After learning of how Serah sacrificed herself, Lightning decides to live on and see the "new world" in the future, where she will one day wake up at the end of eternity.
The song plays during the ending and talks about keeping hope alive even after having lost people dear to us. Final Fantasy XIII-2 ends on a sad note with Serah dying and chaos taking over the world, and the song's message also reminds to keep hope alive even during the darkest of times, in its own way alluding how the end of Final Fantasy XIII-2 wasn't the end of the world and that even in a world overtaken by chaos hope of a better future still persists.