unless it goes from matter to something else (like two particles with oposite poles) when being cooked up inside the black that tries to get away from each other
Matter inside a black hole, by definition, can never leave the are of the black hole. The shape of space beyond the event horizon is simply such that there is no path outside.
And there is no 'something else' beyond matter, except energy, which is not a thing per se, but the potential for other things to move or happen.
They emit Hawking radiation from the event horizon itself, not from the area inside the event horizon. As far as it is theorized, they shrink by emitting this radiation. This phenomenon is poorly understood and likely impossible to study, at least until we have a quantum account of gravity. But what is clear is that a particle that has crossed the event horizon will never again cross it back, the very geometry of space prevents this.
