Spontaneous symmetry breaking and Goldstone modes for deep information propagation

ArXi:2605.14685v1 Announce Type: new In physical systems, whenever a continuous symmetry is spontaneously broken, the system possesses excitations called Goldstone modes, which allow coherent information propagation over long distances and times. In this work, we study deep neural networks whose internal layers are equivariant under a continuous symmetry and may therefore analogous Goldstone-like degrees of freedom.