Spin as "Out-of-Phase" Matter in the sigma-Calculus

We propose that intrinsic spin degrees of freedom arise in the sigma-Calculus as compositeexcitations whose local tension carries a nontrivial phase structure. Such “out-of-phase”matter interacts gravitationally through the emergent metric but resists coherent propaga-tion in the ambient sigma-network. https://zenodo.org/records/15424230