This release contains the main COS–QD paper and its technical supplement. The COS–QD module develops an operator-theoretic and channel-theoretic framework for discrete time evolution on the COS shell–filament state space. It separates local update rules, physical/admissibility projectors, conditional collapse branches, Kraus/instrument maps, branch-ignored CP/CPTP dynamics, and effective generators. The main paper formulates discrete step dynamics, quantized effective action terms, generator decompositions, path summation, causal/Lieb–Robinson-type bounds, topological-sector block structures, and stationary-phase constructions. Regge-phase and quasi-classical-limit statements are treated as conditional results depending on coherent states, local regularity, controlled refinement, and reconstruction assumptions. An N = 3 toy-model pipeline illustrates spectral behavior, projective normalization, peripheral phases, and possible dispersion-related signatures. The technical supplement provides the dissipative and microscopic reinforcement layer: Gibbs fixed-point results, small-residual concentration, entropy/free-energy monotonicity, explicit local rate schemes, diagonal/off-diagonal separation, finite-state closure, and repeated-interaction microscopic origins. These results support the main COS–QD framework within controlled effective classes rather than claiming a final universal microdynamics.
Attila Görhöny (Wed,) studied this question.