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Collective motion emerges from perception alone, with density instabilities and pattern selection dictated by the order of sensory acuity and interaction distance, not just alignment.
Animal decisions are revealed to have a "decision spectrum" governed by symmetry selection rules, turning cue geometry into a tunable spectrometer for behavior.
Collective behavior and decision-making emerge from the harmonic decomposition of a neural directional space, unifying movement, choice, and group dynamics under a single spectral organization.