Perspectives on Evolution

[Thumpalumpacus]

Yes.  You don’t “age”.   Your cells get replaced by a new set of cells which are more decrepit. In fact you don’t even exist as a person, but a statistical phenomenon. That which was you is mostly gone.  A whole new set of cells in poorer condition now make up a new bag of mostly water that had stolen your identity.

Now you're getting somewhere!

https://en.wikipedia.org/wiki/Ship_of_Theseus

Pertinent passage, for my money:

Ted Sider and others have proposed that considering objects to extend across time as four-dimensional causal series of three-dimensional "time-slices" could solve the ship of Theseus problem because, in taking such an approach, all four dimensional objects remain numerically identical to themselves while allowing individual time-slices to differ from each other. The aforementioned river, therefore, comprises different three-dimensional time-slices of itself while remaining numerically identical to itself across time; one can never step into the same river-time-slice twice, but one can step into the same (four-dimensional) river twice.

Obviously doesn't pertain directly to an abstract such as evolution, but could be fairly applied to the species model, passing through time.