posted on May, 19 2006 @ 07:38 AM
In a way you're right... in a way you're wrong.
Since time and space is becoming warped, to an outside observer, when the light beam is travelling towards the neutron star, the light is travelling
across greater distance in shorter time. To the light beam itself it is travelling across the same distance in the same time. It becomes red-shifted
(since the light-waves are being stretched out).
However, when the light-beam passes the neutron star and starts moving away from it, then it would appear to travel a shorter distance in greater
time. It becomes blue-shifted (the light-waves are being scrunched together).
When the whole voyage is complete, it will have travelled across the same amount of distance, in the same amount of time, as a light-beam running
parrallel, but unobstructed, to it.
Your paradox is resolved