1020 A.D. to 2300 A.D.
From Chrono Compendium
Ideal Timeline
-Serge possibly marries Kid, as evidenced by a wedding photograph. *Schala's fate is totally unknown, along with the fates of Serge's party and the state of the world after Chrono Cross.*** *The Sun Palace most likely rises from the bottom of the sea. *** Chrono Cross's ending is so open-ended that hardly anything can be inferred, leaving this timeline mostly blank. For speculation based on the few known facts of the ending, see this article: http://www.chronocompendium.com/Term/Chrono_Cross_Resolutions
From: Chronology