Table of Contents
PPT Slide
Canal boat
Good old Newton spotted both problems already, in his Opticks,
We sum the integrand around the loop in the xy-plane, no contribution from the top and bottom, so
Tremendous success: radio waves, precision c = precision v light, polarization, etc etc etc.Problem:
Start with v=c fact, follow logic
In the moving car, we see that the path from the source of the left flash to the meeting point is three times longer than the right hand flash to meeting distance. No problem if this were a moving ball, we would conclude that they had different speeds, BUT we know the light flashes move always with v = c.
Pythagoras taught how to survey using x, y,… to find a space interval
Sometimes, though, it is convenient to transform from one coordinate system to another, even if not invariant, so we need transforms.
And by eliminating x and x’, we get t and t’— and writing them all out
The “twin paradox”
A paradox usually called “The Javelin Thrower in the Barn:”
|
Author: Bill Willis
Email: willis@nevis1.columbia.edu
Home Page: www.nevis.columbia.edu/~willis
Download presentation source
|