This page contains information regarding Star Trek: Discovery, and thus may contain spoilers.
The Daedalus Project, or Project Daedalus, was a classified time travel research project developed by Section 31 around the 2230s, after it was discovered that the Klingons were researching time travel. Considering this a critical threat, Section 31 found itself in a temporal arms race, and the project was aimed at gaining a strategic advantage.
The project came to light when a file with the name "Project Daedalus", was implanted into Lt. Cmdr. Airiam's augmented systems. Just before her death, Airiam urged Michael Burnham to find the project. (DIS: "Project Daedalus", "The Red Angel")
The Red AngelEdit
The key component of the suit, a time crystal, proved hard to procure. A young Section 31 operative named Leland learned from an operative on the Klingon homeworld Qo'noS, that one such crystal was being sold on the black market near an Orion outpost, and managed to steal it. The time crystal was brought to Doctari Alpha, where a scheduled nearby supernova would provide the energy for a test. However, the Klingons tracked the crystal, and attacked the outpost. The Burnham's, stationed on the outpost by Leland, were believed killed in the attack, which was later described as a Klingon terror raid. (DIS: "The Red Angel")