On Jan 1, 11:46 am, Tom Roberts wrote:

OK, consider the case in which "home" is at rest in an inertial frame; one twin

stays at home in a centrifuge, spinning at a few tens of meters per second with

a proper acceleration of 1g; the other twin blasts off in a rocket accelerating

at 1g for a year on his clock, turns around with a maneuver that maintains the

1g acceleration, and returns home executing another maneuver that beings him to

rest at home (the trip takes 4 years on the rocket twin's clock: 1y speed up

headed out, 1y slow down, 1y speed up headed back, 1y slow down, stop). The

rocket twin is unequivocally younger when they meet again, because his average

speed relative to the inertial frame of home is much greater than that of the

centrifuge twin, even though their proper accelerations are equal.
Just as Koobee Wublee has predicted:

http://groups.google.com/group/sci.p...c3288cbc93ca08
** Desperation facing with paradox leads to

** Divine visions of showing no paradox to

** Euphoria of rejoicing no paradox to

** Careful examination of these divine visions to

** “what the fvck was I thinking?” rude awakening to

** Desperation once again and the cycle repeats.

shrug

The divine visions a

1) Acceleration breaking the symmetry by Born

2) Spacetime time diagram of a few lines

3) Mathemagic trick by paul andersen and others

4) Coordinate time as projection of proper time

The last time, Tom was in 4) so happy with the projection thing.

Apparently, he had gone through the rude awakening stage and more

desperation. Now, he is back to the first one. That is the life of a

self-styled physicist. Koobee Wublee thinks that is a fvcked up life

style, but what does Koobee Wublee know? Perhaps, Tom enjoys stuck in

these cycles chasing his own tail. shrug

Anyway, one can simply redesign the scenario to have both twins

traveling where each twin will experience the same acceleration

profile and thus nullifying the effect of acceleration. Given an

arbitrary amount of time to allow both twins coasting with null

acceleration but with a significant speed between them, the mutual

time dilation building up will obviously never be rectified. Thus,

showing the paradox is very real. shrug

Bottom line: here it is speed relative to the inertial frame of home that

matters, not acceleration. The actual computation involves integrating the

metric over the path followed by each twin between meetings, and comparing the

results; when written in terms of home's inertial coordinates, this integral

involves only speed, not acceleration, not position, and not direction.

Remember that in SR (no gravity) it simply is not possible for

two twins that both move inertially to separate and rejoin.
Tom, care to show some math to back up your babbling? shrug