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In Newtonian mechanics, it’s not too hard to figure out how two celestial bodies (e.g., Earth and Moon) should behave. But three bodies (e.g., Earth, Moon, and Sun)? That’s a computational nightmare.
Anyway, speaking of chaos…
For my money, this is the most exciting research area in applied mathematics. Not computational biology, not dynamical systems, but Who Does the Dishes.
Just consider the open questions here:
- How does total dish labor (L) scale with household size (n)?
- How does household size affect the latency period between dish-dirtying and dish-washing?
- How does the maximum latency period relate to the average latency period?
- What is a typical distribution of dish labor between the various household members? Does everyone feel like they’re doing more than their share? Or do the freeloaders recognize themselves as such?
I’m sure that some of these problems will prove computationally intractable. Still – and you heard it here first – I prophesy that the 21st century’s most breathtaking mathematical progress will come in understanding the domestic chaos theory of the shared living space.