Download presentation
Presentation is loading. Please wait.
Published byRandell Simpson Modified over 8 years ago
1
Time Dilation
2
Relative Time Special relativity predicts that events seen as simultaneous by one observer are not simultaneous to an observer in motion. The notion that the passage of time is constant for all observers must not exist. The speed of light is the true constant of motion.
3
Light Clock Einstein’s postulate is that the speed of light is constant in all inertial frames. Light to keep timeLight to keep time
4
Moving Clock The light on the moving rocket takes a longer path. Rocket speed v Distance L’ Moving time t’
5
Dilation The apparent time is longer on the moving rocket.
6
Gamma Factor The relation between the two times is known as the Lorentz factor.
7
Proper Time The clock at rest with an observer keeps proper time. Always shortest timeAlways shortest time Time dilation has been confirmed experimentally. Particle decayParticle decay
8
The Twin Paradox Spedo travels to Planet X and returns. Planet X: 20 light years from earth Rocket speed: 0.95c This is an example of a thought experiment. Consider twins Gozlo and Spedo. Gozlo stays on Earth.
9
The Twins’ Perspectives Gozlo’s view Spedo traveled 21 years to X and returned. So Gozlo has aged 42 years. Spedo is time dilated with a slow clock and sees 13 years go by. Spedo is younger than Gozlo when they meet again. Spedo’s view Spedo thinks he was at rest. Gozlo and the Earth raced away and then headed back. The paradox – which twin is the traveler and which is really older?
10
Paradox Resolved Relativity applies to reference frames moving at uniform speeds. Gozlo and the Earth are inertialGozlo and the Earth are inertial Spedo accelerates at X to turn aroundSpedo accelerates at X to turn around Gozlo gets to make the time measurements. Gozlo proper time of 42 yearsGozlo proper time of 42 years Spedo proper time of 13 yearsSpedo proper time of 13 years There is no true paradox since Spedo is not in an inertial frame. next
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.