Forecasting Universe Typology Along the w_n Axis: A Hypothesis on the Periodicity of Attractors

This article addresses the problem of forecasting universe typology along the extra dimension axis w_n based on changes in fundamental constants. The author assumes that a universe's type — habitable, sterile, vacuum‑unstable, empty, singular, pre‑atomic, or artefactual — is determined by a generalised fine‑tuning parameter F , which is a function of the constants ( α, m_p, Λ, G ). The deviation Δ F from the value in our Universe determines how "exotic" the world becomes. The core question: can we predict the type of universe An,m knowing only its number m ? The author proposes three equally valid scenarios. Scenario A — a periodic function ( Δ F(m) has a cycle) — means typology repeats, and future universes are predictable. Scenario B — a chaotic function ( Δ F(m) is a random walk) — means each universe is unique, and prediction without data is impossible. Scenario C — a quasi‑periodic function (a cycle with drift) — means typology roughly repeats but gradually shifts over time. For each scenario, mathematical sketches, examples, and verification criteria are provided. The literature review shows that similar ideas — cyclic universes with changing constants, periodic potentials as sources of attractors, cellular‑automaton models of the multiverse — are already being discussed in contemporary science. The article honestly sets its own limits: it offers no precise predictions, contains no data, and does not replace expeditions. It is a problem statement and an invitation to research. The main conclusion: we do not know the answer, but we know how to find it.