Thesis Perdurantism fits modern physics better than endurantism does
Where it stands
I trained in physics in Lagos and now tutor it, and I've been reading Theodore Sider's case for four-dimensionalism. I'm persuaded, and I want to put the argument from physics as strongly as I can.
Relativity treats spacetime as a single four-dimensional manifold. Objects trace worldlines through it. Nothing in the physics distinguishes the time direction as the one in which things are "wholly present" while the spatial directions are ones in which things have parts. If I have a left half and a right half, why not an earlier half and a later half? Treating time differently from space looks like an old prejudice, not a result.
Endurantism says I am wholly present at each moment of my life. But "each moment" needs a notion of simultaneity to say what is present together with me, and relativity makes simultaneity frame-relative. The perdurantist doesn't need that: I'm a four-dimensional worm, and different frames simply slice me differently.
So my thesis: if you take relativity as your guide to the structure of time, perdurantism is the natural fit and endurantism has to make special adjustments to survive. I'd like to hear the endurantist case, especially from people who think Aristotle got substance right.