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Beyond Bosons and Fermions: The Quest for Parastatistics in 3D
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From the DHR no-go theorems to the revival of 3D parastatistics by Wang and Hazard, this episode surveys the possibility of finite occupancy per quantum state in three dimensions. We trace Miller’s critique of indistinguishability, the idea that pair particles could emerge as emergent phenomena in exotic quantum systems like Rydberg simulators, and the new information-theoretic constraint—invariance under quantum permutations—that could decide the matter once and for all.
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