[0] COS - Collapsing-Structures: Modular investigative framework for discrete quantum gravity, operational dynamics, and numerical analysis

The Collapsing Structures (COS) program is a modular investigative framework for discrete quantum gravity, operational quantum dynamics, and effective matter-field descriptions. It represents geometric degrees of freedom through discrete shell–filament and simplicial configurations, where local metric information is associated with filament-like structures and global/topological information with shells. This overview does not present COS as a completed theory of quantum gravity, but as a structured research framework. It summarizes the conceptual architecture, module dependencies, common notation, and evidential status of the COS corpus. The dynamics is described through discrete transition structures, instrument/CPTP-channel formulations, conditioned trajectories, and covariant simplicial path-sum interpretations. Classical or GR-like behavior is treated as a conditional limiting regime. The entry also surveys effective matter interfaces, including Standard-Model-like sectors, supersymmetric extensions, and grand-unification patterns, as well as cosmological, empirical, and numerical modules. These components provide diagnostic protocols and candidate observable channels—such as CMB-related statistics, gravitational-wave signatures, neutrino-mass-related phenomenology, and numerical shell/graph diagnostics—rather than independent experimental confirmations. The overview serves as a citable reading map for the COS program and uses an explicit status discipline—prototype/construction (P), controlled conditional bridge (C), and open problem (O)—to distinguish established structures, conditional claims, and remaining open tasks.