ICMM-FW-05 - Algebra of FGF Operations: Admissible Transformations, Stability Transitions, Compositions, and Fissions

ICMM-FW-05 introduces an intermediate operational layer within the ICMM (Complex Multi-Magnetic Information) framework, situated between the formal stabilization of Closed Geometric Forms (FGF) and the future introduction of STIM (Information–Matter Transformation System). This study defines a rigorous algebra of admissible operations acting on stabilized FGF identities, including invariant-preserving internal transformations, stability transitions, admissible compositions and fissions, and discrete invariant ruptures under constraint regimes. Admissibility is formalized as a partial morphism structure over typed constraint signatures, without invoking causality, energy, or physical dynamics. Chains of admissible transformations are treated as primary formal objects, equipped with operational balances and constraint typing, ensuring traceability and definedness. ICMM-FW-05 establishes the formal grammar necessary for introducing STIM in subsequent work, guaranteeing that future dynamical interpretations will operate strictly within a pre-defined admissible transformation space. Email: cordierfr@wanadoo.fr or frederic.cordier@alcahest-quantique.frORCID: 0009-0001-8661-3275Project page: https://www.alcahest-quantique.fr Expected citationCordier, F. (2026).ICMM-FW-05 – Algèbra of FGF operations. Zenodo. https://doi.org/10.5281/zenodo.18882054