The fictional machine used to relive genetic memories in Assassin's Creed is the Animus.
The Animus is a device created by Abstergo Industries, the modern-day organization connected to the Templars. It allows a person to experience ancestral memories encoded in their DNA, turning historical lives into interactive simulations from the user's perspective.
The machine does not literally send users through time. Instead, it reconstructs memories inherited from ancestors, which explains why the modern-day storyline can follow figures such as Altaïr, Ezio, and Bayek. Animus sessions also provide the games' framing device for moving between historical settings.
The concept is often confused with Eagle Vision, a perceptive ability used by Assassins, or the Apple of Eden, a powerful Isu artifact. The Bleeding Effect is a side effect of prolonged Animus exposure, allowing users to retain skills and behaviors from the people whose memories they relive.