Online communities featuring 'anti-X' hate and extremism, somehow thrive
online despite moderator pressure. We present a first-principles theory of
their dynamics, which accounts for the fact that the online population
comprises diverse individuals and evolves in time. The resulting equation
represents a novel generalization of nonlinear fluid physics and explains the
observed behavior across scales. Its shockwave-like solutions explain how, why
and when such activity rises from 'out-of-nowhere', and show how it can be
delayed, re-shaped and even prevented by adjusting the online collective
chemistry. This theory and findings should also be applicable to anti-X
activity in next-generation ecosystems featuring blockchain platforms and
Metaverses.Comment: Feedback welcome to [email protected]