Re: Twin Paradox is a blasphemy to Relativity

From: Ken S. Tucker (dynamics_at_vianet.on.ca)
Date: 02/08/05 

Date: 8 Feb 2005 13:26:17 -0800

To Al et al...
Evidently twin paradox discussions decay to semantics.

I'd like to suggest a GR approach (hold the eggs, and
tar & feathers)....

Suppose I sync a clock dx^0 with another ds using,

U^0 = dx^0/ds = 1 == synchronization.

Then ask how does that synchronization vary?

Relying on the GR geodesic,

dU^0/ds = -[GAMMA ^0_uv] U^u U^v

we find [x] must be NON-zero for the sychronization
to change. In SR, the metrics require the condition,

R^a_bcd =0 and thus [x] =0,

because the metrics are constants, hence SR
cannot predict a twin paradox.

We'll need R^a_bcd =/=0 to get [x] =/=0.

What do you think?
Ken S. Tucker

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