In article , Sam Wormley says...

On 5/31/11 5:41 PM, Koobee Wublee wrote:
On May 31, Daryl McCullough wrote:
Da Do Ron Ron says...

Nobody can make the claim
that acceleration causes clocks to tick slower

Wrong! There are plenty of Einstein Dingleberries whose choice of
resolution to the twins’ paradox is the breaking of the symmetry.
shrug



The Twin Paradox for Koobee, the confused
http://www.phys.vt.edu/~takeuchi/rel...section15.html
http://www.phys.vt.edu/~takeuchi/rel...notes/twin.gif

I don't know why this is so hard for people to understand.

Euclidean geometry: The length of a curve described by y = f(x) from
the point A to point B is given by:

L = Integral of square-root(1+(df/dx)^2) dx

The *shortest* curve from A to B is the one where df/dx is constant.

Spacetime geometry: The proper time for a path described by x = f(t)
from spacetime point A to spacetime point B is given by
(in units where c=1):

T = Integral of square-root(1-(df/dt)^2) dt

Because of the minus sign, the *longest* path from A to B is the
one where df/dt is constant.

In neither case, does the second derivative of f make an explicit
contribution to the integral.

--
Daryl McCullough
Ithaca, NY