Well, I think the 2 bulbs are mathemagically connected in theory, but you can never see it cause as you continue to zoom in you just get the same ever narrowing gulf. If you "see" a bridge between the bulbs its cause the iterations aint high enuf.
What I expect happens is that at REAL = -0.75 IMAG = 0 the iterations goes to infinity. (This is a guess. I'd like to hear professional commentary) If this (my theory) is true then there is a singularity. However, right next to the singularity there is all sorts of activity going on. It doesn't eventually go down to a triangle point or anything. This is very strange to think about. I suppose a sort of event horizon might be the place where the most powerful computer in the universe could still not resolve anything smaller. I have a trial version of UltraFractal (eeek!). When I upped the iteration limit on that my processor overheated, alarms and stuff. But when I upped the iteration limit in xfractint the processor was quite safe. At 1 billion I had a stack overflow.
BTW, I saw a swirling vortex last weekend - a full freakin' tornado! NorthEast of Denver. It was comin' strait at me and it looked scary, specially thru binoculars. Never saw one before - awesome! When I was first coming up with this email address I was trying to find something unique. I was looking up in some plain old fluffy cumulus clouds on a nice day and out of nowhere a vortex formed. Some clouds swirled around it for about a minute forming a sort of tunnel. I had never before or since seen such a thing happen. I was going to choose swirlingvortex but someone already had that on yahoo.
I have seen true funnel clouds but no actual tornado. If I ever see one I want to be somewhere else when I do (not from my porch). I did see a waterspout which lasted at least 15 minutes out on the Atlantic coast. It was there so long a speed boater went to it and started going all the way around, circling the base of it. Wild. Roger