Relativity clips http://onestick.com/relativity/ - Al’s relativistic adventures Michelson Morley experiment animation: http://galileoandeinstein.physics.virginia.edu/more_stuff/flashlets/mmexpt6.htm Picture of apparatus: http://www.dmae.upm.es/cienciaficcion/cartelera2002/12monos/archivos/relatividad/Fig1.gif Simultaneity – Youtube clip: http://www.youtube.com/watch?v=wteiuxyqtoM Length contraction (animation nearly at the end of the article): http://www.phys.unsw.edu.au/einsteinlight/jw/module4_time_dilation.htm Summary http://www.youtube.com/watch?v=C2VMO7pcWhg – shows transformation between coordinate frames moving with relative velocity v (Effects on momentum: http://www.youtube.com/watch?v=04WMUMsAQvU )
Maxwell’s equations
Relativity of space and time An ‘event’ – a point in space / time Time x Distance
Separation in space-time Two events Event 2 Time x Event 1 Separation in space-time x Distance
From Einstein’s 1905 paper
Progression Through Time Standing still in space (relative to an observer) means that you are progressing through the time dimension at the maximum possible rate. 0% Progression Through Time 100% Progression Through Space (v/c) Time Space
Progression Through Time As you move faster through space, the rate that you progress through time has to decrease. 0% Progression Through Time Time Space 100% Progression Through Space (v/c) 25%
This effect of ‘time dilation’ increases with a factor of √(1-v2/c2). That means time is 13% slower when travelling at 50% speed of light. 0% Progression Through Time Time Space 100% 50% Progression Through Space (v/c)
Progression Through Time At 87% the speed of light, an hour passing in your frame would take two hours for a stationary observer. 0% Progression Through Time Time Space 100% 87% Progression Through Space
Progression Through Time If you could eventually reach the 100% speed of light through space, your progression through time would stop altogether. 0% Progression Through Time Time Space 100% Progression Through Space (v/c)
From ‘Einstein’ by Michael White and John Cribbin In 1925 Bertrand Russell published a book on Relativity and predicted that it would result in a new way of thinking involving greater abstraction. This has not happened because of the lack of widespread understanding of the theory.
“The most beautiful thing we can experience is the mysterious “The most beautiful thing we can experience is the mysterious. It is the source of all true art and all science. Those to whom this emotion is a stranger, who can no longer pause to wonder and stand rapt in awe, are as good as dead: their eyes are closed.” Albert Einstein