ICMM-FW-11 : Conditional Realizability Operator and Selection of Concurrent Configurations

This work introduces a formal framework based on a conditional realizability operator designed to model dynamic selection between competing configurations. The model explicitly distinguishes three fundamental spaces: the space of possible configurations, the space of accessible configurations, the space of realized configurations. The realizability function structures competition between configurations by integrating multiple factors: structural compatibility, transformation latency, environmental constraints, dynamic stability, and maintenance cost. Exploratory numerical simulations (A, B, C, D, E) were developed to evaluate the internal consistency of the framework. They reveal: realizability bifurcations, inertia and latency effects, regulated competition dynamics, conditional emergence of structural diversity, multi-scale effects with delayed propagation of perturbations. The results show that the model is capable of generating non-trivial behaviors from a compact formalism, while also highlighting its limitations and validity conditions. This framework is proposed as an exploratory theoretical tool, open to critique, falsification, and future development. Scientific Contact:Frédéric CordierEmail: cordierfr@wanadoo.fr or frederic.cordier@alcahest-quantique.frORCID: 0009-0001-8661-3275Project page: https://www.alcahest-quantique.fr