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In contrast, a black hole destroys the hell out of things, and doesn’t “go anywhere”.A worm hole is a funnel (what’s shown here is only a two dimensional funnel) that tapers down to a “throat” (which although thinner never pinches off entirely) which connects to another funnel that opens up somewhere else.One of the wild things about ring singularities is that they make the topology of spacetime qualitatively different, in a way not entirely dissimilar to the way that the surface of a sphere is qualitatively different from the surface of a doughnut (or, for our New York readers, a bagel).In normal, everyday space, if you travel in a big loop you come back to the same place.Not only do you have to contend with the fact that spacetime is four dimensional (3 space directions plus 1 time direction), but the time direction is very different, so it’s four dimensional in a really weird way.Now add to that that black holes royally mess things up and you’ll find yourself in dire need of a better coordinate system to make things easier to picture. Although the situation is still a little weird, time points more or less up (the standard set up for space/time diagrams), and light travels diagonally (again: standard).So, given the history, physicists today are a little hesitant about chucking out solutions, even when they’re silly.
Over the years physicists have gotten a little gun shy about ignoring solutions.The singularity at the center of a black hole is usually described as a point.However, this is a symptom of our paltry computational power back when black holes were first being theoretically researched. According to a variety of (modern/powerful) computer models, as a star collapses to form a black hole it often finds itself forming “singularity sheets” in areas where its density becomes large enough.For example, one of the impossible solutions to the Schrodinger equation (which describes the wave nature of things) involves particles crossing through impossible boundaries.Turns out they can, and it’s now called “quantum tunneling“.
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A black hole is a funnel that pinches off at a singularity.