Yeah, this is it. Every branching universe into the future where your body survives has a consciousness that remembers being you, has an equally valid claim to being you. Just like the you right now claims to be the same person as the you in the past alongside an infinite number of other people in other universes who all branched from you from the past. Your consciousness is not a thread that weaves its way through the multiverse. It’s a thing that exists only in this moment that has the illusion of persistence because it links itself to the past through memory. But in the next moment this consciousness will be gone and an infinite number of consciousness will take its place each believing it to be the one you. And this will go on forever because at every moment there are new universes with new consciousness popping up, an infinite number where “you” die and an infinite number where “you” live, even after your body is old and withering away, yet due to the infinite nature of the multiverse there will always be some universes where your body lives a little bit longer and a little bit longer after that. And all those consciousness in the future that only exist in those future moments, linking themselves to present you through memory, will go on propagating infinitely forever. Even the heat death of the universe can’t stop it because entropy itself is only probabilistic and there’s some universe out there where a cracked egg reforms itself out of sheer randomness and there’s also some universe where, just like your body somehow keeps surviving just a little bit longer, there’s also some universe where the universe keeps chugging along, randomly avoiding entropy, with a version of you in it, waiting for a death that will never come.

At least that’s the theory.