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the concept of a white hole is the oppisite of a black hole (pushes things away instead of pulling them in) I belive such a thing is impossable, but I could be wrong (as I often am)
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Let's break this down for a moment; a black hole is called 'black hole' because:
a) It does not emit light (i.e. black)
b) It's gravitational pull is so strong that almost nothing can escape (i.e. a hole)
Something with the name 'white hole' would emit light, but would still be a hole. Note that this also means that the gravitational pull must therefore be weaker as it is that force that stops light from being emitted.
What you're hypothesising about would be some sort of infinite emitter of light and particles, which is impossible. I suppose the closest thing to an 'opposite' of a black hole would be a supernova, which is a massively exploding star.