I Proper (and coordinate) times re the Twin paradox

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The discussion revolves around the twin paradox, emphasizing the distinction between proper time and coordinate time. Proper time is defined as the time measured by a clock in its own frame of reference, while coordinate time varies based on the observer's motion relative to that clock. Both twins measure their own proper time as identical, but they experience different coordinate times due to their differing worldlines. The key point is that the traveling twin ages less than the stay-at-home twin, highlighting the effects of their relative motion. Understanding these concepts is crucial for grasping the implications of the twin paradox in special relativity.
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