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I "know" that gravitic effects have been shown to work at the speed of light. This meaning, if the sun were to disappear the earth's orbit would change approximately 8 seconds later, the time it takes for light to reach earth. I believe this is correct, no?

Now let us take the same situation, the Sun vanishing from existence. I know this is hardly possible in any way. But its merely for this question so please bear with me. The sun disappears. If you had some method of measurement for measuring the instantaneous "force" or rather the "curvature of space" due to gravity, and you took said device and placed it really close to the surface of the sun, it would read quite high correct? Assuming gravity is something along the scale of 1/r^2 seems like it would max when r is min. So assuming this is correct, yes? We move on.

The sun dissappears. Now we know that the measurement near the sun was reading high, and a measurement near the earth (due to the sun) not as high.

Now does each measurement device (assuming very very accurately updated) go from their respective measurement INSTANTLY to "0" as the "effect" wave travels from suns point out to the measuring devices, or does it go from the value to 0 through a function thats dependent on time.

I think about this thought problem back to a bowling ball on a rubber sheet. If you take the bowling ball away instantly, the rubber sheet doesnt just teleport back to its flatness, but goes through a quick continuous change from deformed to normal (that i believe would be as if the bowling ball got lighter at a very very rapid pace).

Does space follow a similar principle? What would the sun disappearing look like in terms of a planar surface if you had to animate it?

EDIT:

After re-reading im thinking of a way to define my idea of instantaneous.

The only way i can ask this question in my head is how would you see it as an animation if it was a 2D universe. (so you can use 3rd to show curvature.)

Now let us take the same situation, the Sun vanishing from existence. I know this is hardly possible in any way. But its merely for this question so please bear with me. The sun disappears. If you had some method of measurement for measuring the instantaneous "force" or rather the "curvature of space" due to gravity, and you took said device and placed it really close to the surface of the sun, it would read quite high correct? Assuming gravity is something along the scale of 1/r^2 seems like it would max when r is min. So assuming this is correct, yes? We move on.

The sun dissappears. Now we know that the measurement near the sun was reading high, and a measurement near the earth (due to the sun) not as high.

Now does each measurement device (assuming very very accurately updated) go from their respective measurement INSTANTLY to "0" as the "effect" wave travels from suns point out to the measuring devices, or does it go from the value to 0 through a function thats dependent on time.

I think about this thought problem back to a bowling ball on a rubber sheet. If you take the bowling ball away instantly, the rubber sheet doesnt just teleport back to its flatness, but goes through a quick continuous change from deformed to normal (that i believe would be as if the bowling ball got lighter at a very very rapid pace).

Does space follow a similar principle? What would the sun disappearing look like in terms of a planar surface if you had to animate it?

EDIT:

After re-reading im thinking of a way to define my idea of instantaneous.

The only way i can ask this question in my head is how would you see it as an animation if it was a 2D universe. (so you can use 3rd to show curvature.)

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