I want to immediately dismiss any idea of soul or spiritual component of human being and I accept that death is nothingness (end) when it comes to my question. No rebirth, reincarnation etc.
But could it be possible that "I" could be someone else? After I pass away I am dead forever but other people will be born and "other" people will have consciousness. Could "I" be other? Not in the sense that I am "that" person remembering of this life or maintaining any of the characteristics but rather to be that different person. To live different life from other consciousness. To be different consciousness. Not from my perspective, from perspective of that someone else.
I find this hard to imagine as hard as imagining what nothingness really is. I am sorry if I've brought any confusion, the use I in my question doesn't want to imply of any characteristics of current me, I use it only because I can't find more appropriate term as my knowledge or words have betrayed me.
That maybe comes fundamentally to the questions of why is me me and could me be someone else.
Thanks for your time and effort.
EDIT: I am not claiming that there might be one single consciousness or connection between consciousness. What I am wondering is when my current consciousness stops to exit is it possible that some X person born in the future will bear consciousness which could possible be "I". To life another life being another human being with it's distinctive consciousness.