Are you sure about the calcul ? From many billions to 47.5 years... its maybe a little bit optimist.
Are you taking in consideration that the universe is in a contant expansion ?
However, this article is very interesting
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Special relativity is what it is. I am 100% sure (and this can be easily verified by anyone as I give all details). What is not said is that this implies to reach a speed equal to the speed of light up to many many digits. That's the trick behind.
I said there was an imprecision on the reasoning. You found it. I should have said: the limits of the universe today.