Do Objects in Motion Share the Same Time Reference?

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The discussion explores the implications of relativity on time references for objects in motion. It posits that objects traveling at different speeds experience time differently, suggesting that even minimal speed differences can create distinct time references. When two objects are in contact and moving together, they share the same time reference, but separating them alters their time perception. The idea is presented that movement is not solely about speed but also about maintaining a shared time reference. The thread invites further exploration of this concept within the context of relativity.
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I've just started to understand the theory of relativity. Since the speed of light is the only constant in the speed of anything and time is a variable, just as much as distance is a variable, I'm starting to wonder about the time of individual objects. If an object traveling at 3 mph has a slower time than an object not traveling (faster than the rotation of the earth), however infinitesimal, that object would essentially be in a different 'time.'

Two objects not connected but pushed up against each other are sitting on a table, traveling at the speed of the rotation of the earth. At the same speed, they would have the same time reference. When one of the objects is picked up, it suddenly increases speed and thus enters a different time reference, all of the bits of that object move along with it into the same time reference. The object still on the table is no longer in the same time reference and thus separates from it. Similarly if we were to split the moving object in half, it would separate only because the atoms at the separation points were no longer in the same time reference.

So in a way we could say that things move together not because they have the same speed in the same direction, but rather that they stay within the same time reference, they move at the same 'time.'

Is this an idea that has been explored by anyone?
 
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