Foxfyre and Brandon mostly But Nipok and thalion may wish to note.
I am certainly not arguing with relativity theories per se. I am not qualified and regard Einstein as a person who had the wit to understand what every sea captain and Polynesian navigator knew and to apply it in four dimensions. But I am certainly trying to understand exactly what they mean to us and our point of view. (lousy choice of words

)
"When a mass is being accelerated its mass increases to infinity"--- thus resulting in no possible force being sufficient to accelerate it any more.
HOW

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Actually I cannot see how except as to how it would appear to an observer who necessarily must be in a different frame of reference. The critters who live on a (hypothetical) world that appears to be receeding from our vantage point are perfectly happy. Light travels at "c" and everything else is OK. Our sun will be red shifted to them and theirs to us.
As a "mechanic" I have to deal with the combinations of all forces whereas math and the other "purer sciences" must necessarily have a bit more myopic point of view. Due to this "necessary myopia" we have math which proves that the arrow can never hit the target to mention one common example of a "pop" example recently mentioned on A2K.
The reasoning being that there are an infinite number of 1/2 distances that the arrow must traverse in a finite time. Since the arrow cannot travel an infinite number of infinite distances in a finite time the target goes unhit.
But as a mechanic I can disregard infinities, measure a finite distance, and hit the target.
As an engineer I can regard a "Black Hole" as a combination of forces and make one blow up (change its nature drastically and unremarkably, hopefully

When I get the time