Cloudbank is a twist on the old trope of the "city in the clouds". Cloudbank is a virtual world, a city in the cloud.
When a person joins (or is born into, this part is not clear) Cloudbank, they are prompted to make two selections. These selections are not unlike the character creation seen in RPG. You choose two attributes for yourself that you want to specialize in and improve. These selections, alongside the user's consciousness creates their trace. Their link to the world of Cloudbank.
These selections give access to functions to the individual. Treat it as the API calls to the world of Cloudbank. It is no coincidence that Red's function is crush(), which makes its targets more vulnerable. It is the same function which made her singing so effective. The transistor is the unconditional access to those API calls and allowed access to those functions in their pure form.
So what is the transistor? Where did it come from? Royce in the later parts of the game described that it required a lot of math to uncover the transistor. The likely answer is that it is a piece of reverse engineered code that allows greater access to the underpinnings of Cloudbank. As the name implies, a transistor controls the flow of information. This is gets to us to the goals of the Camerata.
The city of Cloudbank is autonomous. There is no longer a single driving force behind the city and instead, it maintains its relevance through a voting system amongst the populace. The game's trailer opens up with saying everyone has a voice in the Cloudbank. This voice is the voting mechanism that allows changing every facet of the city. Unfortunately, these continuous petitions created mediocrity through majority and prevented any real, interesting change in the city. As Red's lover once remarked, the weather is always mild and nonoffensive. As the longest-running administrator of the city, Grant realized the hopeless of his position. This staleness is what the Camerata hopes to overcome. When everything changes, nothing changes.
Their first step is to take away control away from the citizens of Cloudbank. To take away their voice. This theft is embodied in Red's literal loss of her own voice. Her voice and those of many others is now trapped in the transistor. The true agent of change left in Cloudbank. And coincidentally, the only voice we really hear during our play through.
The Camerata's plan falls apart once Grant loses control over the transistor and the custodian's of Process are left without direction. Up till now, the populace gave purpose for the Process and so they interpret that void as the desire for nothing. The Process begins to transform Cloudbank into a blank slate in the hopes that it will be given direction once more. As Red plows through their ranks, the Process become more and more obsessed with Red (evident in the later parts of the game). She is all they have left to give them any real meaning.
As Cloudbank becomes a shapeless mass its users evacuate. They log off and go to "the country". There is no returning to Cloudbank. It is directly said that logging off even in ideal circumstances is a one-way trip, but now there is no point of returning. The millions of people who made the simulation feel real are now gone and to never return. So when Red gains complete control of Cloudbank and gains root status, there is nothing left for her. Cloudbank is dead and Red's lover is trapped inside the transistor. He cannot log off and will likely last as long as his mortal body will allow.
Red does not want to face the shock of entering the real world alone, nor does she want her lover to be abandoned. So she leaves the Cloudbank through "suicide" and joins her lover inside the transistor. As this point, there is a ambiguity to what happens. It appears that Red's root status transferred inside the transistor. After all, the cloudscape of the transistor now has form. There is ground and most importantly, Red and her lover have form. If Red has such capability, it is not outlandish to presume that she also had the power to log her lover and herself out of the transistor. Perhaps that last image is them out in country and reveals a happy ending.