Gravitational time dilation is evidenced by clocks ticking faster the higher up you go, so the higher the gravitational potential the faster the clock ticks. If it is measured by a traditional light clock the light must be bouncing faster than it does in a lower gravitational potential. Which in some ways makes it sound as if light travels at different speeds in different gravitational potentials (but this is something I have to clear up) for there is no motion (relative velocity) to speak of just an increase in height. But what I was looking at was the connection to gravitational potential (GP) and GP Energy. Lower gravitational potential is like lower to the gravity source, so in a higher gravitational potential some of the negative gravitational potential energy (GPE) has been paid back by the action of raising it up, so paying back the GPE is like speeding up time, in other words, the object lifted physically slows down for it can't travel so far in any given time interval. For example for the same mechanical energy, if initially the velocity is 10m/sec, then if the duration of a second (time interval) is shortened (time faster) it would be only able to achieve <10m/sec. That is in its own frame but looking from afar I don't know if you could see this reduction in velocity.
I might have this a little mixed up but any input would be welcome.
You would see this as a reduction in velocity by using our clock, and it appears to have slowed down, no matter how we have observed this velocity, even from a radio call back home. The radio call back home is just another way to measure the same results. In reality it has not slowed. It’s that we have measured from an inaccurate clock. Our clock just cannot be used to measure time if the amount of Gravitational influence is much greater, or much lesser than our own. Since it is not Special Relativity or Kinematic Time Dilation from proper motion, there is no change in any physical forces, or geometry, or energy. It is very simply a wrong clock to use to apply to a different Gravitational region of space. The velocity does not change over there, only the clock used. The only course then, is to correct our known skewed view of the reality of, over there.
As well, there is no need to measure it here, and no way to do that independent of another frame to comparing our clocks to. Everything works exactly as it should here, so there is no possible way to measure an effect on us in our frame. Everything, including time works exactly as it should as experienced over there. We need to know our Dilation Factor, but only to apply it properly to our observations of other frames’ clocks. If you were to travel from one area to a more dilated area, there are no experiential effects. It was predicted, and applied by the The Pound Rebka experiment, and GPS of course, by using two frames. This measured our level of Time Dilation compared to an area of no gravity, but only indirectly, by comparing one area to another. It fit the predictions, so indirectly measured our level of clock change.
However, no matter what frame we are viewing from, the relationship in this Galaxy from one area of heavy Gravitational influence to the other, we will witness the slower Clock near the more massive region, and the faster one near the outer edges. I will expand on this a bit later, our initial question of the Galaxy Rotation.