Algorithmic Transitions and Reorganization under Constraint - A Formal FCL Reading of Eukaryogenesis

This article converts a conceptual project draft into a formal paper and argues that the work of Muro, Ballesteros, Luque, and Bascompte on the emergence of eukaryotes should be treated, within the methodological taxonomy of the Fractal Consistency Law (FCL), as high-value bridge evidence rather than as a direct confirmation of the theory. The central claim is that the biological case exhibits a strong structural convergence with the Principle of Minimum Inconsistency (PMI): a regime of organization exhausts its viability, encounters a constraint internal to its own architecture, and responds through a reorganization that opens a new space of complexity. The paper reconstructs the empirical core of the PNAS article, specifies the minimal role played by PMI within the FCL research program, distinguishes carefully between analogy, convergence, and proof, and proposes a compact formal bridge for describing reorganization under constraint. The conclusion is intentionally disciplined. The eukaryotic transition does not validate the FCL as a physical theory of nature; however, it does provide a scientifically serious, prize-recognized, and conceptually fertile case of regime change under constraint that strengthens the plausibility of a broader FCL-style dynamics of organized complexity.