If an object that moves at the speed of light has infinite mass then any black hole that sucks even one particle of substance would not it become a black hole with infinite mass? Or would it go into a new "baby universe" just before reaching the speed of light, such as Stephan Hawkings theoy explains.

No, because rest mass and relativistic mass are two completely different things. As an object's kinetic energy increases (gamma), its 'aparant' mass (from an outside reference frame) increases. Along with length contraction, time dilation, exponential photon "gapping" (conservation of energy).

Also, a blackhole does not have infinite mass, nor would it ever reach a completed state of infinity. In reality a blackhole is in a potential state of approaching infinite density, not mass.

Since a black hole with a mass lets say of 9e30 Kgs + any objects mass at the speed of light (which is infinte)= infinite mass.

in other words;

9e30 Kg + * Kg = * Kg

thus if this were true the radius of the black hole would grow to a infinite size. Which obviously does not happen. So what is false; the existence of black holes, or an objects mass is infinite at the speed of light, or objects move at the speed of light when they reach the core of a black hole.

Right; does not happen... : ) And further, blackholes do exist, but in a sense that is a bit more complicated; usually a case of semantics. (at least in my opinion) Also, an object with any rest mass cannot and will not "reach" lightspeed. It will only reach it in potential terms. i.e. potential infinity, not actual infinity. Again, objects will always be in a state of "approaching" the singularity, never reaching it. Likewise, their infalling velocity will always be ever increasing; approaching lightspeed, but NEVER reaching.

Hum, deep thoughts by Storck.

Indeed... : )

-nåte