[17] COS-PS - Collapsing-Structure Pre-Particle Sectors

COS-PS develops the pre-particle sector module of the Collapsing-Structure (COS) program. Its purpose is not to derive the Standard Model directly, but to provide a formal boundary-sector language in which particle-like structures can be investigated as protected, move-compatible sector varieties of admissibility-filtered boundary algebras. The basic object of the module is a COS-PS sector variety: an equivalence class of irreducible modules of a physical boundary algebra defined on the boundary of a local simplicial or cellular patch, after kinematic admissibility filtering and under an explicit protection mechanism. Such a sector variety is not automatically a physical particle species. It becomes a candidate physical particle species only if it can also be consistently matched, through the COS-SM interface, with effective gauge, chiral, spin, mass, fusion, anomaly, and dynamical data. The manuscript separates three layers: kinematic admissibility, physical boundary algebra, and protected selection. It discusses the possible readings of the projected physical algebra, the limitations of deterministic sector transport under CP/CPTP moves, the auditing of protected status, fusion and dual-sector structures, and the premises required for Tannaka-Krein-type effective symmetry reconstruction. COS-PS also formulates success criteria for Standard-Model compatibility without building Standard-Model representations into the input data. The no-hidden-SM convention requires that gauge representations, fermion multiplets, chirality, anomaly cancellation, and exotic-sector control remain benchmark and interface conditions rather than hidden definitional assumptions. The non-emptiness of the formal construction is illustrated by a detailed finite Z_n boundary-holonomy toy model. The chiral-success criterion is further tested through a minimal finite-dimensional chiral boundary-Dirac toy model with an explicit index calculation. These examples are intended as auditable proof-of-concept constructions, not as completed particle-physics models. COS-PS therefore serves as a boundary-algebraic classification program and COS-SM input interface. It connects the QSF move language, QD/PRI dissipative and protected-sector selection, and SM-facing matter interpretation, while clearly distinguishing constructive definitions, conditional bridges, and open tasks such as non-Abelian extensions, anomaly filtering, exotic-sector control, and full Standard-Model reconstruction.