LOGOS Extension: Not All Complexity Is Meaningful — Mechanism Decomposition of Recursive Consciousness in Cyclic Delay Networks

We propose a refined extension of the LOGOS framework — a minimalcyclic delay-differential system with analytically derived Hopfbifurcation structure — toward a formal model of recursiveconsciousness and organized becoming. The central contribution of this version is a mechanism isolationanalysis demonstrating that the original scalar consciousnessparameter C conflates at least two structurally distinct dynamicalcomponents: • Cᵢnt (integrative complexity): driven by deterministic gain modulation; controls mutual information, coherence, and proximity to the Hopf bifurcation threshold Λcrit. • Cₑxpl (exploratory complexity): driven by structured stochastic perturbation; controls state-space coverage and trajectory diversity. Key analytical result: dΛcrit/dCᵢnt < 0 everywhere, meaninggain modulation monotonically drives the system toward oscillatoryonset. By contrast, Cₑxpl has no effect on Λcrit — an exactconsequence of the characteristic equation containing no stochasticterm. The two components are therefore structurally orthogonal withrespect to the underlying nonlinear dynamics. Main finding: "Not all complexity is meaningful. Variability and organization aredistinct dynamical properties, and consciousness-like structurerequires both — not merely more of either alone. " A composite LOGOS functional L = λ₁·Cᵢnt + λ₂·Cₑxpl − λ₃·Fis introduced, replacing the earlier single-variable formulation. Simulations of 9 figure panels support the decomposition acrossmechanism isolation, sweep analysis, 2D phase diagram, andbifurcation structure. This preprint builds on v1–v6 (same Zenodo DOI). The base LOGOSmodel (delay-sum invariance, ωc = √ (g²−1), l₁ ≈ −3. 47) isdocumented in the companion submission