The equations of quantum mechanics, quantum field theory etc are generally time dependent to the best of my knowledge. See:
Schrödinger equation - Wikipedia
I think we might be caught up in what 'real' means here. Time is a measurable quantity in every theory or model I've ever seen but whether that makes it 'real' I'm not too sure. I don't know if it's a feature of the observer-independent universe, but I don't know what is. I am sure that to talk of change of any kind we need to talk of time and I guess that makes it real enough for me.
Also, physics is bonkers.
You are correct, i am talking physically real.
Nah, physics is cool, it sometimes makes my head hurt but i always learn something from it.