On 3/4/2014 11:19 AM, Jesse Mazer wrote:
On Tue, Mar 4, 2014 at 2:02 PM, Edgar L. Owen <[email protected] <mailto:[email protected]>> wrote:Jesse, You ask me to choose between 1. and 2. 1. If B's proper age at this point in spacetime is T, then C's proper age at this point in spacetime must be T as well (i.e. their proper ages are "simultaneous" in the sense that they must reach the same age simultaneously). 2. If B and C's worldlines both pass through a specific point in spacetime P, and B's age is T1 when she passes through P, while C's age is T2 when she passes through P, then B must be at age T1 simultaneously with C being at age T2 (i.e. whatever two specific ages they have at P, they must reach those two ages simultaneously, even if the two ages are different) First I assume that by "passing through the same point in spacetime" you mean that the worldlines cross at P simultaneously by the operational definition of no light delay. 1. is true only in a SYMMETRIC case. In the symmetric case they would have the same ages as they pass through the same point P, but in that case they have the same ages during the WHOLE trip so no big surprise.
This isn't true. In the inertial frame of a third party passing by, B and C age at different rates in different segments of their world lines even though those rates integrate to the same total aging between their two meetings.
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