Remember there are no "coincidences"
WASHINGTON, D.C. (KXAN) — On Monday afternoon, a curious change was made on the U.S. Department of State‘s website: “Donald J. Trump’s term ended on 2021-01-11 19:40:41.”
And at the same:
How can you declare an emergency "resulting from the 59th Presidential Inauguration" when it hasn't happened yet.... Or did it?
Not really. I believe it reads that the terms of the outgoing President and Vice-President END at noon on January 20th. This allows there to be no power vacuum between one President leaving and another being sworn in, even if it is just for a few moments.
Thanks this makes sense now.