Billy T,
As others have pointed out to you, there is only one gravity field in the entire universe. At some locations it is stronger than at others. At a space point (near vacuum) not far from Jupiter’s surface, it is currently strong, but at that point, it will be significantly weaker in a Earth year or so. (essentially only the sun’s field) The speed of light at this point of varing gravitational strengh is, I agree unchanged “regardless of the strength of the field.” So I can’t understand what you are saying in the second sentence above about field “accelerate/decelerate a photon” Either you do not understand: (1) that to accelerate something means to change its speed (for example, wrt the space point that was near Jupiter) or (2) You don’t realize photons are light. (Do you think that photons can be accelerated but light speed is always c?)
Let me clarify what I meant: The speed of light is always equal to c relative to the gravitational field that it is passing through. However, in the universe there are multiple gravitational fields moving at different speeds. So, if light is travelling through field A at the speed of c relative to field A, this does not mean that it is travelling at c relative to field B. If the light moves from field A to field B, its speed will increase, or decrease, so that its speed becomes equal to c relative to field B. The stronger field B is, the faster the light will accelerate, decelerate, to c relative to B, even though, eventually, its speed will only be equal to c relative to field B.
Of course, it's important to state that the light would not suddenly exit field A and enter field B, instead its speed would gradually change since the fields overlap. Also, since field A will always have a small effect on the light no matter how far the light has travelled into field B, the speed of the light relative to field B will never be exactly equal to c. Also let me state, as you and Physics Monkey pointed out, you can look at fields A and B as a single field with different strengths/speeds at every location that the light passes through.
That same day you also said: “You're making the mistake in assuming that the principle of invariance of {speed of} light is a fact. IT IS NOT. It's only an assumption that has only been tested in an object that is stationary in the Earth's gravitational field.”
Because of this post, I told you about Römer’s experiments using Jupiter’s moon Io, to show that claiming speed of light was measured only on Earth, in Earth’s gravity was nonsense on both claims. 99.9999% of the path used was outside of the Earth’s atmosphere in high vacuum. Also when path passed near sun, the photons were in a much stronger gravity field than when path did not, yet Römer’s measurements (and predictions of Io’s appearance) were built on the confirmed assumption that the speed of light did not depend upon the velocity of the body it came from or the strength of the gravity field it pasted thru.
You're correct in stating that the light in Romer's measurements travelled through several gravitational fields during its journey from Jupiter to Earth, but the only problem is that those fields were relatively stationairy to the Earth's gravitational field so the change in the speed of light would have been very small.
For example, most of the light's journey was through the Sun's gravitational field. But since the Earth's distance from the Sun is relatively fixed, the Sun's gravitational field is stationairy to the Earth's (excluding Earth's orbital motion around the Sun). However, if Jupiter and Earth were moving at a high speed towards, or away from the Sun, then a large change would be observed in the speed of the light arriving from Jupiter.
But regardless if the change in the speed of light from Jupiter was small, or large, physicists would simply conclude that the speed of the light is still c, but that the distance between Jupiter and Earth needs to be adjusted to reflect the results. (Or they would make minor adjustments to gravity (I'm not saying that this is what Einstein did
)).
Frankly I don’t think there is any sense to your phrase: “in an object” Since light is so fast, you need a long path to measure its speed. Only way you could get that is a long optical fiber and that seems possible only on Earth, at least for the present.
Can you describe an experiment that could support your theory? (You have also claimed they all do, but after five tries to get you to give a published reference to even one, I now switch to asking for you to describe an experiment that NEEDS you armchair invented theory to explain it. If it can’t be tested (in a experiment that could also show it wrong) and it only predicts the same results that fall out of Maxwell’s very well confirmed equations, (which do not mention gravity and have been tested in many different gravity fields coming and going as communication to / from fast moving sattelites) who, but you, wants it?
If you put a MM inferometer in a spacecraft that is orbiting Earth at a high speed (Not in a geostationairy orbit), the interference patterns would prove whether I'm right or wrong. Also, you can put the MM inferometer in a spacecraft and launch it towards Mars (or anywhere where it would be moving through the Sun's gravitational field at a high speed). In other words, this experiment would be relatively simple to do because of all the satellites and spacecraft we are launching nowadays. But I don't think that a reputable scientist would recommend this experiment be done for fear of being labeled a crackpot.