When talking about the Matrix with friends, we noticed we shared a very different interpretation of things.
According to them the Matrix keeps humans in the virtual world as a matter of obtaining energy (Morpheus' battery analogy) after humans blackened the sun to fight the rise of the machines that became sentient. Accordingly, the fields that Morpheus has seen where humans aren't born are the towers where we see Neo wake up the first time.
Since watching and rewatching The Matrix, I have formed a very different interpretation. I understood that some version of the Matrix was created by humans as some sort of replacement of the real world (I believe Agent Smith says so at some point, saying the first few attempts failed because humans need a violent world to live in, ideal ones didn't work out). The machines were programmed to provide the Matrix as a service to humans, but were overzealous / too rigid in executing their programming and too keep faithful to it went to any length to keep humans jacked in. Humans rebelled, blackened the sun and to power the matrix where the human population lives machine resorted to cultivating some humans to extract energy. This would never be jacked and quite possibly never wake in any world, they'd just be a biological mechanism to provide electricity.
Do we ever actually see the "fields" mentioned by Morpheus seen in the movie?
(Answers relating to the first movie are preferred over those citing additional materials and subsequent films).