Time Measurement in MT Traversable Wormholes - Help Needed

[wLw]

I am reading this article now :http://www.cmp.caltech.edu/refael/league/thorne-morris.pdf. And i am a little bit confused about the Eq.(38a)and Eq.(38b), which means the time measured by traverller and people in the sataion, and I just think the time measured by traveller should be his proper time ,but Eq.(38) is not that. I wonder where is Eq(38) from. Could you help me ?

 

[phinds]

I just think the time measured by traveller should be his proper time

Near as I can tell the author agrees with you:

 

[wLw]

yeah but i wonder how do Eq.(38) derive?