ICMM-FW-14-COS exploratory appendix extends the ICMM-FW-14 study devoted to cumulative historicity, multi-vector polarization, and the geometry of transformational trajectories. Its objective is to examine certain cosmological consequences potentially compatible with the mechanisms introduced within the main theoretical framework when these mechanisms are extended toward very large-scale organizational architectures. The document notably explores the notions of recursive stabilization, cosmological self-coherence, transformational convergence, harmonic reintegration, and recursive equilibria. These mechanisms are examined as organizational properties that may emerge within historically deep architectures subjected to continuous processes of transformation, reorganization, and cumulative historicization. The analysis also examines several potential consequences associated with cosmological evolutionary openness, organizational diversification, multi-scale coherences, and attractor dynamics when considered at the scale of the cosmological network as a whole. The present document constitutes neither an empirical validation nor a definitive formalization of these properties. It should be interpreted as a space of theoretical exploration intended to identify new research directions, map certain possibilities conceptually compatible with the ICMM-FW-14 framework, and prepare potential future developments of the research program. Scientific Contact:Frédéric CordierEmail: cordierfr@wanadoo.fr or frederic.cordier@alcahest-quantique.frORCID: 0009-0001-8661-3275Project page: https://www.alcahest-quantique.fr