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Twin Paradox Presentation
Transcript of Twin Paradox Presentation
The relativistic Doppler effect By Jennifer Lee & Joshua Reinders The Twin Paradox http://paulocoelhoblog.com/wp-content/uploads/2012/03/einstein.jpg Not a true paradox! Special relativity applies only to inertial frames of reference
Stella's reference frame is not inertial Do we need general relativity? Doesn't require an inertial frame of reference, but...
Irrelevant to the twin paradox The difference is in the lengths of the trips! Stella: each leg takes the same amount of time A numerical example Calculating time dilation The Lorentz factor
Proper time http://cnx.org/content/m32527/latest/sr6.gif Experimental evidence Michelson-Morely: speed of light is constant Discussion Consequences for travel through space? Factors preventing travel near the speed of light? Could they be overcome in the future? Moving toward: blueshift
Higher frequency Moving away: redshift
Lower frequency Terri: the outbound trip is long; the trip back is short
Sees her age slowly for a long time and quickly for a short time
Overall sees Stella age fewer years Muon decay
Move close to speed of light
Measured more muons than predicted at low altitude GPS satellite clocks Hafele-Keating: atomic clocks on planes
Eastward clock slower
Westward clock faster Postulates:
From an inertial frame of reference, all motion is relative
Speed of light is constant
Implication: time dilation
Moving clock runs slowly relative to a stationary clock