The Process is a large legion of semi-autonomous robots that are currently killing citizens in The City of Cloudbank. They are the primary antagonist to Red, and hail from a different yet intimately connected reality. Their jobs used to be to build and survey the city, being used by Royce Bracket to put up and down the various building plans he created in his engineering job. He seems to also be the one to have discovered them and watched their evolution when they created Man, Fetch, and Younglady versions. The Transistor makes jokes about their names as you meet them, and it is unclear whether they are named for what The Transistor calls them or if he makes the jokes based off of the names that presumably Royce named them.
They were originally controlled by the Transistor, which has been called the 'brush' of the city. Without it, the Camerata lost their control over their numbers and instead, they began to deconstruct the town back to its basic building blocks, treating the city and its inhabitants as if they were code and rewritable.
Because the Process come from a connected reality and are controlled by the Transistor, it may be safe to say the they were the ones that sent it in the first place as Royce feels like perhaps he wasn't the one that found it at all and it was the "otherwise around".
Red | The Process | The Transistor | Cloudbank | Sandbox | Backdoors | Locations | OVC Terminal | Junction Jan's | Access Points | Fairview | Camerata | The Story | The Country | The Spine of the World