Geometry of the Infinite-Dimensional Multiverse Model (IDM): Complete Structure of the Set of Universes and Their Possible Characteristics

This article presents the complete geometric structure of the Infinite-Dimensional Multiverse Model (IDM) — the second work in a cycle devoted to the dynamical explanation of the fine-tuning of fundamental constants. While the first article introduced the concept of evolutionary attractors, the present work focuses on the geometry of space and the classification of neighboring universes. The IDM postulates an infinite number of spatial dimensions: three large dimensions (x, y, z) forming our observable reality, and an infinite sequence of additional dimensions (w₁, w₂, w₃, ). Our Universe is a 3-dimensional brane embedded in this infinite-dimensional space. Along each additional dimension wₖ, there exist two infinite sequences of neighboring universes — "left" (B₊, ₌) and "right" (A₊, ₌), where m is the distance from our Universe. The total set of neighboring universes is countably infinite. Each neighboring universe has its own set of fundamental constants. Near attractors, the density of universes is maximal. Interaction intensity decays with increasing m, creating a hierarchy of observable effects. A crucial clarification: the number of dimensions perceived by an observer (for humans, 3) is not equal to the total ontological number of dimensions of space (infinity). This difference is explained by embedding (our Universe is a 3-brane), not by compactification. Comparison with contemporary research (Shaya, 2025; García-Bellido α-attractors) shows the uniqueness of the proposed mechanism — external influence from neighboring universes instead of internal quantum processes. The model yields testable predictions: anisotropy of constant variations, hierarchy of effects, and correlations in CMB data.