I do believe black holes and other anomalies influence time movement. Same with stuff at quantum level, planck length, strings, etc. They have very different perceptions of time, if any.
Photons don't age. A lot of particles use all their energy for means other than time movement. Quantum particles can pop up ANYWHERE in a blink of an eye. As I asked before, what source are you basing your info on?
Edit:
I
think you probably already understand this, but if you do, then I don't really see what you're talking about with "constant time".
The more energy you use for movement in a spacial dimension, the less you have to use in the time dimension. Standing "still" (not taking account of earth movement), means you have a lot of energy for the time dimension. There is no constant time, only the movement for each single energy-containing entity who is present in space-time.