Mathematicians uncover the logic behind how people walk in crowds
news.mit.edu
news.mit.edu
All the logic of how we move in crowds is in our brains, we apply it every day. Yet we don't know it explicitly. Something that we do consciously, even.
But, in this case, it's rather emergent behaviour that's pointed out. We know how we behave how the person in front of us steps out of line: we move to the side ourselves or slow down. What's less obvious is when and how this cascades onto the whole crowd.
I don't know exactly what their physical analogies with fluid dynamics are, but this sounds like turbulence.
Imagine someone steps into a subway carriage with only one other passenger in it. They're not likely to sit directly beside or opposite the other person. Would a robot follow this kind of etiquette?
I suppose if you emphasize personal space in the training data, but would the developers realize they need to do that?
If you train it on CCTV footage from inside of subway carriages: yes, I suppose.
Will robots be super awkward and/or aggressive?
See for example https://m.koreaherald.com/article/10447649
Those assumptions might be good enough for modeling students walking to & from classes at MIT. But more generally? Nope.
If you consider ALL the variables, you would end up with something like the Standard Model Lagrangian, and even that makes some assumptions (explicitly or implicitly) in order to work.