Proper (and coordinate) times re the Twin paradox

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SUMMARY

The discussion centers on the Twin Paradox in the context of special relativity, emphasizing the distinction between proper time and coordinate time. Proper time is defined as the time measured by a clock in its own reference frame, while coordinate time varies based on the observer's motion. The traveling twin experiences different proper time compared to the stay-at-home twin due to their differing worldlines, leading to the conclusion that they do not age identically. Misunderstandings often arise when proper time is conflated with coordinate time, which is a common pitfall in many explanations of the paradox.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concepts of proper time and coordinate time
  • Knowledge of Lorentz transformations
  • Basic grasp of worldlines in spacetime
NEXT STEPS
  • Study the implications of Lorentz transformations in special relativity
  • Explore the mathematical formulation of proper time and coordinate time
  • Investigate the concept of worldlines and their significance in relativity
  • Review experimental confirmations of the Twin Paradox predictions
USEFUL FOR

Students and professionals in physics, particularly those focused on relativity, as well as educators seeking to clarify the Twin Paradox for learners.

  • #331
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