the.com/after
The word that quietly admits the present already left without you.
means Following something in time, sequence, or space — what comes once the now has moved on.
from From Old English aefter, rooted in af (off, away) plus a comparative ending — literally the more off, the further behind.
Nautical rootsAft means the rear of a ship.
Time and chaseMeans both later than and pursuing.
Afternoon mathLiterally after the noon, nothing fancier.