After schrödinger's death, he tricked the devil, into sending him into a new life, in a new world, where he was born as Izuku midoriya, inko had twins, Izuku and tenshi midoriya.
Izuku was born without a quirk, due to being a reincarnation, but tenshi has pyrokineses/ hot attraction.
Izuku also looked completely different, their dad dipped before birth.
During the time, Izuku showed openness, to infinite possibilities, he showed quite a lot of intelligence, Izuku has the catlike ears, schrödinger has in hellsing ultimate.
Izuku also seems to be well versed, in three languages, which is odd, due to one wasn't even taught to him, that one is German.
Izuku also tends to vanish if not kept an eye on, which proves useful for delivering things, especially letters.
Izuku also seems to know, about schrödinger's cat, something that doesn't fit his grade.
When they go to the quirk doctors.
Izuku: guten Tag herr Doktor!
Doctor: guten Tag!
Inko: doctor, were here for the quirk tests, also to work out what's wrong with Izuku.
Doctor: well, tenshi's quirks are fire control and hot urges, hot urges draws in anyone, who is in her perspective, at minimum a 7/10 in looks, fire control is as the label says.
Doctor: as for Izuku, sadly we haven't been able to test him, due to anomalous effects, when ever we do go to do the test, the tube is empty, I can only speculate, that he's quirkless from x-rays, but that speculation doesn't align, with the vanishing blood.
Izuku: I think I can explain that, you see doktor, when I'm not observed, I can practically do anything, and be anywhere, but nowhere.
Doctor: like schrödinger's cat.
Izuku: exactly, finally someone who gets it.
After getting home, Izuku is abused and caused to bleed, but inko looks away for a split second , Izuku is gone.
Now Izuku often goes to an orphanage, in hopes of being adopted into another family, by 'accident', there he meets a girl the same age.
Izuku: fraulein, hey fraulein, fraulein!
Girl: hi.
Izuku: guten targ!
Girl: why do you speak German, and why are you so familiar to me?
Izuku: now that i think about it, it's like that for me too, have we met before, I'm Izuku, but call me schrödinger.
Girl: *remembers and jumps back* what?!
Izuku: is something wrong fraulein?
Girl: do you not recognise me?
Izuku: sorry, but I don't think I do.
Girl: seriously, still that cat boy girl thing as always.
Izuku: *realises* alucard, *blushing* I'm sorry about the past, also, you look really beautiful.
Alice: just call me by Alice, being called alucard is weird when I'm a girl.
Izuku: ok, süße alice.
Alice: *becomes a blushing mess* (he's too cute, but I can sense the pain he's gone through) *hugs Izuku*
When bakugou was told Izuku was quirkless, he dismissed it, saying how could Izuku then get the blonde, his lunch after forgetting it.
Bakugou has a two twins, the nice one goes by Alexander, then their are katsumi and katsuki, Izuku and Alexander both are deemed quirkless, but anomalies.
unlike katsuki, katsumi isn't mean, but wants Izuku to not follow his dream, so he doesn't get hurt.
the two twins have similar powers, just katsumi has more power, katsumi's quirk is called firecracker.
katsumi's explosions, if they hit create explosions around the person, hit by its feet, so if they do somehow get back on their feet, the quirk leaves them stumbling, or not standing around.
Despite katsumi having a short fuse, she can calm herself down, whereas her brother is unable to do the same, he has anger issues.
Izuku and Alexander (Izuku calls him alex) often hang out, when talking, Izuku reveals that he wants to be a hero, that despite only being a messenger, before being reincarnated, he knows that he has some blame on him, for the past.
Alexander comforts him and says 'the lord smiled upon you, he gave you this second chance, devote it to redemption and him.'
So Izuku does so, and secretly becomes a vigilante, he technically isn't breaking any laws.
He also goes to church with Alexander, they both aim to be heroes, for the most righteous and just cause, for saving others no matter who it is, this makes the two, destined to be great heroes.
Now Izuku does find toga, helps her get on track with her life, helps Dabi learn that despite his dad being bad, people aren't all evil, it came as a surprise to them, this boy in middle school was talking to them, and seemed to know more about the topic, than anybody they encountered.
Dabi: Izuku, if I may ask, how can you be so sure?
Izuku: because in my previous life, I was something much worse, villains don't go to war, in attempts to make it a world war.
Toga: that isn't you though.
Izuku: I may have been a messenger, but I was still part of it, therefore by association, I could be counted as one.
Dabi: despite that, you still see it as a second chance to do better.
Izuku: In my experience, there is no such thing as pure good and pure evil, because there are always motives, some motives are justifiable, some aren't, some are retribution focused.
Izuku: in a way, good and evil are labels, these labels are placed by people, who don't fully understand, some bad people are heroes, some good people are villains, but if you look closely, you see it, the true hypocrisy.
Toga: *secretly takes some of izuku's blood, but on the word hypocrisy, makes her look to Izuku, who doesn't have any marks, and then look to her knife to find no blood.*
Izuku: in a way, people don't think, about the possibilities of one's quirk, for example, toga could use her quirk, to sneak into a villains HQ, by taking the form of a henchperson, or use another heroes blood, to bait villains into attacking her, luring the villain into a capture zone.
Izuku: and if she gains the ability, to use the quirk of the person, she could do solo combo moves, even espionage, making her the best spy, or a perfect espionage hero.
Izuku: and dabi could be an incredibly strong hero, if he works out how to use ice fire, instead of normal blue fire, it could work in his favour, due to ice fire uses cold instead of intense heat, while there are bad people, it doesn't mean everyone is bad, some are just misguided or lost.
Izuku: a hero is not for fame, fortune or popularity, but to protect and help those in need, especially villains.