I've been writing a fanfic of Infinite since finishing the game and seeing the ending, and as always while writing I came up with some interesting side-ways concepts that I want to 'run over' with you folks.
We all know that Booker dies.
It is implied and understood that 'He never ROWS' making it a constant.
So Bookers before him have gone through the lighthouse many times, all of them not rowing.
So Booker DeWitt has already died. Multiple times.
He died so many times the Lutece are sure of quite a bit of constants, like head or tails, rowing or not, and so on.
Then the dreadful question I asked myself was this:
there are infinite amount of universes.
There are infinite amount of possibilities.
If Destroying A (and mind you the 'A' is important) Comstock-future possibility by drowning yields the destruction of many others, (Because we assume Tears-Travelling can affect not only space but also time in the end-game) then what of a future where Non-baptism Booker actually becomes a Comstock anyway? That future 'exists' because it has to: it's set in an infinite amount of worlds, so one like that one has to exist. Just like there is one in which Booker is female and Elizabeth is male, and so on.
Then, if go by that type of 'fridge horror' logic, there is no other possible explanation than the: Lutece Twins are using Booker as Lab-Rat for possible thought experiments, tests on whether 'multiverses' can be destroyed or not and so on.
It doesn't matter if Booker fights or not, because the Luteces are 'god'. They grab the Bookers from other places and pull them in that reality. They actually know what is going to happen, down to the 'Elizabeth traveling through tears' since they exist everywhere and anywhere...the Lutece know everything. So they are god. And God toys with Booker. He tells him he can choose when he can't.
He tells him he can make choices, but he cannot. He cannot keep Anna. He cannot change fate. Elizabeth has to tell Booker to drown. But that doesn't change things. It drowns some Bookers, it kills some Bookers, it destroys some future-Annas, but it does not change the inevitable 'infinite' problem that there exists a world where this still happen, with different names and consequences.
And the Lutece know of this. They know and yet they still go on with it.
Because they're scientists, and they experiment.
And Booker's a lab-rat.
One of the many, many lab-rats.
It is, over all, extremely depressing to come back to think to it and realize that Booker cannot make choices. Jack Ryan could choose, and end his life as the future-ruler of Rapture or as a benevolent man who lived a happy life. Subject Delta could choose to die a free and beloved father, a conscience of his daughter, or be renowned as a harvester as he set his 'progeny' on a path of world conquest.
Booker...
Booker has only one future.
One where the Lutece decides he can KEEP his memories of Columbia, go back to when he was still a private eye, and be with Anna.
And here comes the second bit of Fridge-Horror...
Who tells us the Anna we are saving is 'THIS' Booker's Anna? Why can't it be the Anna of Booker number one (who is dead) or Booker number five or twenty-seven?
Even if you save this Anna somehow, even if the game granted you that chance...
Who is to say she really is your daughter?
She is and she isn't.
Just like you are and are not Booker.
And that's terrifying.
'A man makes choices, but his choices make him.' Andrew Ryan.
Booker doesn't choose. Choices are made for him, by Anna, by the Luteces, but never by him.
He reacts.
He is not a man, but a slave.
Because a man chooses, but a slave obeys.
Bring us the girl and wipe away the debt!
He obeys.
I will kill Comstock!
And he obeys.
He doesn't choose to drown: he is drowned.
and so...
it's terrifying, and extremely sad.