Author(s): Ryohei Kobayashi (小林良平), Yuyang Li (李雨阳), Hanyu Xue (薛寒玉), Po-Shen Hsin (辛柏伸), and Yu-An Chen (陳昱安) The notion of statistics is generalized from particles to loops and membranes using Berry phases of microscopic unitary processes on lattices. [Phys. Rev. X 16, 011010] Published Wed Jan 14, 2026