Lucid Memory Fragments

Lucid Memory Fragments were collectible items found in an alternate reality for Ratonhnhaké:ton created by the Apple of Eden.

Collecting memory fragments confirmed Ratonhnhaké:ton's suspicion that the events he was experiencing, in which George Washington was a tyrant king, weren't a true reality.

Furthermore, collection of all fragments restored Ratonhnhaké:ton's memory of the event leading to the alternate timeline.

Memories experienced
The Infamy The Betrayal
 * Something To Remember
 * Broken Trust
 * Chasing Lee

Reference

 * Assassin's Creed III