November 9th, 2014

hoot

What the hell happened when Cooper went into the black hole?

Not a sex joke. (Not here, anyway.)

This post is my way of getting my head around the climax of Christopher Nolan’s Interstellar, at least in the sense of mathematical manifolds. (Did a lot of geometry in college, and I like thinking visually.) Third-act spoilers abound after the cut.

Okay, let’s get to it. This is the universe, represented as a 2D manifold of space crossed with time.

CoopTime01

The universe doesn’t actually look like a sheet. At least, not to us living on that sheet. It might look like a sheet for entities living in a region with more dimensions than the three of space plus one of time, though.

CoopTime02

This is Cooper heading into a black hole, the latter of which is deforming spacetime as per Einstein’s general relativity with its intense gravitational field.
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