From Destinypedia, the Destiny wiki
Memory Fragments were pieces of a data log created by Elsie Bray shortly before her disappearance. They were discovered scattered around the BrayTech Futurescape by the Guardian and Anastasia Bray, who utilized them to unlock caches left behind by Elsie and recreate her log entries. Destroying all Memory Fragments enabled the player to obtain the Worldline Zero and G-335 Anseris Overdrive.
Lost Memory Fragment 1
25 DAYS UNTIL DIVERGENCE
As an engineer, I wish I could bottle inspiration. You never know when it'll hit. For instance, this morning I was servicing some Hephaestus Field Units, test nodes that are meant to gauge weapon effectiveness in a variety of field conditions, and I had an idea. The nodes are mobile enough that they could be easily hidden, and reconfigured to need specific weapon data to activate. If someone is smart enough, they could easily arrange the nodes to serve as a locking mechanism, one that's hidden right in plain view.
Lost Memory Fragment 2
21 DAYS UNTIL DIVERGENCE
A brilliant classmate I met at the physics fellowship in Delhi took a job on Venus to continue her research. Twice a year we exchange encrypted transmissions to share ideas, for it's a silly notion to lay claim to shared human knowledge. Ishtar Academy materials are forbidden on Mars, but I avail myself of any opportunity to push myself to the next peak. If I can get my hands on a Vex Core, there's no telling how far I can push Bray engineering.
Lost Memory Fragment 3
12 DAYS UNTIL DIVERGENCE
Jumping into an Einstein-Rosen bridge to travel in time has long been regarded fantasy by serious physicists. But what if there existed a computer so powerful it could indistinguishably simulate an entire alternate timeline? Based on my early research, this is a possibility of Vex technology. The key question would be whether one could take knowledge from a simulated timeline and alter the original. One step at a time, though.
Lost Memory Fragment 4
3 DAYS UNTIL DIVERGENCE
If I'm gone that means something terrible has happened to me. I've wiped all traces of my research, but Willa has security scouring the facility for me. She wants to take the weapon I've created, and at this point it's impossible to take it offworld. It's way too dangerous to fall into wrong hands so my only choice is to hide it… The old storage caches in Core Terminus and Olympus Descent are now linked to the Hephaestus test network.
Lost Memory Fragment 5
2 DAYS UNTIL DIVERGENCE
I'm out of time. All I've got to hold on to is the hope that I've moved enough of my tech into the vaults, and that the visions of the future I've seen are accurate. That somehow, divorced from time and space, my words find you. Please tell Ana I'm sorry, and that I never wanted her to be dragged into this. You were smart enough to break my code, so I'll put my trust in you to use what I've created to make things right. One day this will all make sense, I promise.