So finished the series, and was very good, this series goes into some deep quantum physics.
Gonna try to make sense of this, basically according to schrodinger's cat example in which a cat is in a box and there is a button which will release poison gas. There are an infinite number of possibilities that the cat is dead, and an equal number that it is alive, so the cat is both dead and alive, the state of the cat is indeterminate, it is when we open the box that the cat is either dead or alive, before that it's unknown, so basically observation limits all the probabilities of whether the cat is dead or alive to a single one.
Reality is determined by what the majority thinks, the universe created humans so that humans could observe it, and through that the laws of the universe were made, 1+1=2 didn't exist when the universe was created, it exists because it suits the mindset of a human observer, so the universe made it so. The present is just the result of observations made in the future, that wound up changing the past.
So 1+1=2 didn't exist, humans thought it to be so, the universe made it so. I think therefore i am, very philosophical stuff here.
So Hatou discovered the theory of everything which is that the universe itself is like the cat in the box, that has hasn't been determined, as no one has observed it, as before with the cat from inside the box there are an equal number of infinite possibilities that the universe exist and doesn't exist, and been observed those possibilities are reduced to one.
Having discovered the theory of everything, just like how 1+1=2 is a thought humans had in the future, and the universe made it into a law in the past, Hatou thinks what the past should be, hence the universe becomes limited to a single possibility, but that's not the end of it as Hatou isn't the only observer, as long as she could be observered, her fate or reality or whatever could be dertermined, so she went back billions of years and re-evolved into something which doesn't fit the theory of everything, she became a non-existent being.
So conclusion honestly this is extremely complicated, all based around the idea of i think therefore i am, because you can observe something, you limit it's possibilities to a single one, Hatou's friend was basically fated to die as other people could observe Hatou so she became a no-existent being who no one could observe, at least that's what she thought, her friend could observe her, because her friend could observe her, cause her friend can observe things no one else can, as she sees people as robots, Hatou could basically become any other person because they all see the same things, recognize each other as humans, Hatou's friends doesn't, two difference perspective hence she couldn't become her.
Anyway does this make Hatou multiversal+, nope just some really complicated quantum physics going on here, she basically only became a non-existence being so no one's observation could affect her, and hence determine what she is, therby making her fate itself determined.
Before that she could also switch between infinite versions of herself, even if she died, she would just switch to another version of herself, and basically any abilities the other versions of herself had she can get as well, like their memories, knowledge, physical abilities and even stuff like magic which a version of herself in the infinite possibilities have.