Informational Black–Hole Networks: A Minimal Microdynamics for Dimensional Emergence
Abstract
Abstract We introduce the Informational Black–Hole Network (IBHN), a minimal microdynamic model in which spacetime is treated as an emergent structure built from discrete nodes carrying a finite integer load n of bits. Each node is subject to a dimension-dependent capacity K(D), interpreted as the maximal relational coordination implied by the Principle of Minimal Information (PMI). Dynamics is defined by four local rules—creation at frontier holes (C), one-bit transfer between neighbours (T), fusion of mutually selected neighbours (F), and an optional split channel for terminal 4D saturation (S)—combined with an activation law p_flip(n) = 2^{1 − n} implementing informational inertia. A dimensional bootstrap is enabled by the coordination ladder K(2) = 6, K(3) = 12, K(4) = 24: saturated 2D nodes (n = 6) can fuse into 3D nodes (n = 12), and saturated 3D nodes can fuse into 4D nodes (n = 24), while no analogous uplift is supported beyond 4D. We implement a 2D open-boundary hexagonal cellular automaton instantiation of the microdynamics and obtain a statistically stationary bulk with a nontrivial load distribution and a persistent saturated fraction. Rare mutual-selection events inside saturated clusters generate sustained 6 + 6→12 bootstrap events, providing constructive evidence that the rules self-organize the conditions required for dimensional uplift. The framework is intended as a minimal informational substrate suitable for analytic coarse-graining and higher-dimensional…
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