You may get frustrated with me.But i still believe that you can have two time dialations on one object.It happens on a wheel as well because you have different speeds.
The frustration comes from your insistence that your belief is correct, when it is not, and that because you insist your belief is correct it is hampering you from understanding why it is not correct.
Let's get to the bottom of exactly where you are going wrong. Note the words I underlined in your quote above. A time dilation is not "on" (as in "attached to") an object. This is a completely incorrect understanding of what a time dilation is. A time dilation can only exist
between two reference frames, or
between two objects. Darby was trying to explain to you coordinate reference frames in his post above. But instead of being a good student, and asking questions of Darby or myself about what we are presenting, you insist on focusing on your incorrect idea and trying to convince us you are right and we are wrong.
Let me set up an example that you would likely claim "proves" you are right, but I am going to use it to show that you are wrong because of what I just explained above about time dilations can only exist BETWEEN reference frames.
Let us say that I am in the Milky Way galaxy (where earth is) and you are in the Andromeda galaxy, which is far away from the Milky Way. And let's say our two galaxies are moving directly away from each other. Now let's say we are both watching a 3rd object, say a space ship, that is moving away from both our galaxies at close to the speed of light and at a right angle to the line that connects our galaxies. Got it? It is like an isosceles triangle, where your galaxy and my galaxy are on the base of the triangle, and the spaceship flying away from both of us is at the apex of the triangle.
Now....you would likely say that there are "two time dilations on the spaceship." This is incorrect because the time dilation does not "exist" ON the spaceship. It can only exist BETWEEN reference frames. All three objects (our two galaxies and the space ship) are moving reference frames. There is some amount of time dilation
between each pair of reference frames:
Time Dilation 1 is measured between the Milky Way and the Andromeda galaxy.
Time Dilation 2 is measured between the Milky Way and the space ship.
Time Dilation 3 is measured between the Andromeda and the space ship.
Now, it would seem you wish to hold onto your belief that you can have "two time dilations on one object" ostensibly to make some statement about how that object can be "on two different timelines" or something of the sort. This would also be incorrect because, as Einstein showed us, time is relative to any observer. This is why it is important to understand that a time dilation can only exist BETWEEN moving reference frames, and not "ON" some object.
I hope you understand now, but I fear you are going to come back with a statement (rather than a question) about how you still believe you are correct.
RMT