Algebraic Consequences of the Ontogenetic Synthesis: Quantifying Cultural Conductivity across Generational Cohorts

The debate between Dual Inheritance Theory (DIT) and Cultural Attractor Theory (CAT) often overlooks the temporal dynamics of transmission. The Ontogenetic Synthesis (Dağ, 2026) proposes that human agency is time-dependent. In this study, we operationalize this framework through a discrete-time asymptotic model (M0). We introduce "Cultural Conductivity" (K) not as a direct neurological measure, but as a phenomenological proxy for the rate of adaptation. We apply this model to longitudinal IT usage trends (TÜİK, 2024) and normative data (Haerpfer et al., 2024). While the high fit (R2 > 0.98) is expected in cumulative diffusion models, the distinct fracture in conductivity parameters between cohorts (Fr ≈ 3.74) suggests that ontogenetic constraints provide a consistent algebraic framing for the divergence in adaptive trajectories.