Uploads from eigenchris

Currently Playing: Relativity 105d: Acceleration - Twin Paradox and Proper Time Along Curves (Rindler Metric)

Full relativity playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hqlw73QjgZcFh4DrkQLSCQa Powerpoint slide files: https://github.com/eigenchris/MathNotes/tree/master/Relativity Leave me a tip: https://ko-fi.com/eigenchris Previous videos on the calculating the lengths of curves in Tensor Calculus series: TC11 - The Metric Tensor and Arc Lengths: https://www.youtube.com/watch?v=BbQmTmSzUCI&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=13 TC12 - The Metric Tensor in Curved Spaces for Arc Lengths : https://www.youtube.com/watch?v=SmjbpIgVKFs&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=14 0:00 Intro 1:43 Proper Time review 4:09 Proper Time for non-inertial worldline 6:20 Twin Paradox Calculation 8:11 Reversed Triangle Inequality 12:03 Twin Paradox Resolved 14:39 Proper Time along Curves 18:04 Example calculation (inertial coordinates) 22:27 Example calculation (Rindler coordinates) 27:04 Proper Time Curves Conclusion 30:01 Summary