I don't know if this is discussed by actual serious philosophers, but consider the issue of "mind uploading." I have seen very staunch monists seriously discussing that, if you were to produce a complete digital copy of your brain -- copying any possible information to the most minute synapse -- then you effectively "uploaded" yourself into a computer and can live a digital life.
These people believe this while at the same time considering dualism so ridiculous as to laugh dualists out of the room. The evident problem being that "mind uploading" is the most dualistic possible position to take. A real monist would easily see that by doing mind uploading you have just created a clone that is a whole separate entity from yourself and it is not yourself.
Are there people who say that digitizing one's conscious moves their mind? If I upload a file from my computer to to a server, the file still exists on my computer (until deleted). I've never thought that a mind upload would work any differently.
I think that many who talk about consciousness digitization handwave away what happens to their body/brain afterwards, but I don't necessarily think that means they think they'll move into the computer.
I think reasonably faithful clones would be mes. We could live my life, from multiple perspectives, some of them quite separate. It might be necessary to distinguish them with numbers, or claim that one of them has become too different to really count as a me, but those are details and semantic matters.
The ‘you’ that wakes up tomorrow is a whole separate entity from you right now, unless you want to concede that identity is a path variable and that whether the exact same physical/mental/emotional entity is you or not depends on how those particles got there.
> copying any possible information to the most minute synapse
That's reducing an individual to, I assume, the sum of its neural network. So like considering everything else happening in the fleshy body matters to what a human is, nor how they relate to the rest of cosmos as such a body.
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But you are taking an opinionated view of the resolution to the Ship of Theseus paradox. If you are a computational functionalist, then it really is "you" afterwards (or rather there's now two identical "you" until the original "you" is destroyed). A monist could also point to your hypocrisy of believing that you are still your child self despite every atom in your body having been replaced between then and now.