Philosophers debate persistence conditions for personal identity because everything about us seems to change, including our cells, our memories, and our bodies. But DNA doesn't change and it codes for specfic traits in every cell of the human body. It's true that we experience changes in the way phenotypes are expressed in particular experiences or memories, but why not conclude that DNA is the ultimate source of personal identity? Philosophers don't seem to give this biological candidate serious consideration. Can you tell me why?
DNA cannot very well serve as a sufficient condition for personal identity over time, otherwise identical twins would each be identical with both their past and future selves. Can DNA serve as a necessary condition for personal identity over time? Imagine a futuristic machine that introduces a minute and meaningless change to your DNA (difficult, I realize!) at 4pm today -- a change that would not result in any noticeable changes in your feelings, memories, conduct, appearance, etc. Would it be credible to say that the person after 4pm is a different person from you? These are, I think, among the reasons philosophers would give for not taking DNA to be a good answer. But then good answers are not easy to come by for this question.