[2] COS-QF - Collapsing-Structure Quantum Filament: Local Geometric Operators and Filament Interference

This work develops the COS–QF module, the local metric sector of the Collapsing Structures (COS) program. It describes quantized filament variables associated with shell/simplicial configurations and uses them to encode local metric information through discrete length, dihedral-angle, hinge-deficit, curvature-density, and local frame operators. The study formulates the corresponding operator structures, compatibility conditions, interference and transition mechanisms, and spectral/numerical diagnostics. It distinguishes the kinematic geometric subalgebra from dynamical update and transformation operators, clarifying the role of commutative metric observables and nontrivial filament-level transitions. COS–QF serves as a citable reference layer for quantized local geometry within the COS framework. Its quasi-classical, Regge-type, and phenomenological connections are presented as conditional or exploratory links, subject to regularity, refinement, and reconstruction assumptions.