Filmmakers

Laird Robert Hocking

Mathematician and Artist

Taiwan

rob.l.hocking@gmail.com

robhockingmath.github.io

View exhibition history

Statement

As a kid, I grew up exploring coastal British Columbia, sometimes bringing home treasure that I found. I would sometimes feel an intense need to find out, for example, what the view is like from a lighthouse in the distance. Similarly, as an adult I find myself intensely curious about, for example, "What would it look like to watch a black hole form in my living room?". In both cases, an answer exists - I just have to go out and find it (either by scrambling over boulders to get to the lighthouse, or by doing the math / writing the code). In this spirit, I see mathematical art less as a creative process and more one of exploration and discovery. Just like when I was a kid, I rarely find anything interesting. However, I occasionally stumble up a treasure which I want to take home (with a 3D printer, or perhaps just a raytracer, depending on the context).

Films

Image for entry 'An Impossible Black Hole'

An Impossible Black Hole

00:04:58

As a kid, I grew up exploring coastal British Columbia, sometimes bringing home treasure that I found. I would sometimes feel an intense need to find out, for example, what the view is like from a lighthouse in the distance. Similarly, as an adult I find myself intensely curious about, for example, "What would it look like to watch a black hole form in my living room?". In both cases, an answer exists - I just have to go out and find it (either by scrambling over boulders to get to the lighthouse, or by doing the math / writing the code). In this spirit, I see mathematical art less as a creative process and more one of exploration and discovery. Just like when I was a kid, I rarely find anything interesting. However, I occasionally stumble up a treasure which I want to take home (with a 3D printer, or perhaps just a raytracer, depending on the context).

2026

A 1972 result by Stephen Hawking rules out the existence of black holes with non-spherical topology in spacetimes with three spatial dimensions, provided, among other things, that "reasonable" energy conditions are met. One way around this—which I explore in my Bridges 2026 paper—is to work in four spatial dimensions, where hypertorus-shaped black holes are legitimate solutions to the Einstein equations. However, the higher dimensional nature of these solutions makes visualization challenging. It also distracts from what should be the focus: the black hole’s exotic topology. This film considers an alternative - utilizing negative energy (forbidden by the aforementioned energy conditions) to create genuine toroidal black holes in asymptotically flat spacetime with three spatial dimensions. It goes on to explore possibilities enabled by the unusual topology - such as throwing a ball through the hole in the event horizon.