In my first post on this site, I was puzzled as to why an apple seeking to accumulate the greatest proper time on its wristwatch, would head ''down'' to where time is slower and hence slowing its accumulating of proper time. In other words, the apple is stopping its ageing by going ''down''.
Compounding my puzzlement, is that time dilation in the schwarzschild coordinates is only between stationary observers, that is, a stationary far away observer and a stationary ''shell'' observer near a black hole.
So, for the falling apple there is no time dilation to travel down to, so to speak.
If there was a slowing of time for the apple it would never reach the event horizon. help someone.
I'm muddled in my thinking and know it's down to my incorrect understanding of things.🙂