Interesting posts Kick.
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I like to think about a body orbiting about another body that is said to be at "rest". This will be such that it is a three body system. Q, is the body that is our rest reference frame. q_1 is said to orbit relative to Q, such that it has time, t, and at a radius, r, of 3. q_2 is said to orbit relative to Q, such that it has time, t', and at a radius, r', of 4.
Time is measured in frequency of the orbiting bodies relative to the "rest" body.
I would like to hear people's thoughts.
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I do not think you will be measuring time (in some fundamental form).
You said,
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However I will note that implies that time is implicitly a property of interaction
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The 2 objects orbiting a rest body is an 'interaction'.
The 2 objects orbiting that body would definatly measure something, and I assume it would bring forth a constant of sorts.
Its late. However I thank you for your detailed posts. I've got much to learn in the maths.