Time and Relativistic Speed


If  t=0 is the time of birth of the Universe, then the distance of the most remote galaxies today is the same in light years as the age of the Universe in years.
Thus, the outermost objects must move at the speed of light relative to us.

It takes an infinite amount of energy to accelerate a body to light speed.
Einstein found that at v=c, mass is infinite. Then what is our mass relative to our antipodes (objects at the greatest distance from us in the spacetime continuum) as we recede at v=c from them?

Is our antipodes' distance from us in light years equal to the age of the Universe (approx. 3.2 x 109 years)?

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