Computational Actualization & Bit Agents: Two Studies in Computational Metaphysics and Political Dynamics

Abstract

This work consists of two related studies. Part I investigates the conditions under which systems with an infinite space of possibilities inevitably converge to self‑referential states. Using a cellular automaton with an actualization energy function, we demonstrate a critical density threshold ρ_c ≈ 0.13–0.15 below which the system remains random and above which it transitions with 100% probability into a self‑referential regime. Extended validation confirms the phase transition (χ² = 40.5, p < 10⁻⁹), establishes universality of ρ_c (CV = 5.2%), and reveals a critical actualization rate p* ≈ 0.097, above which self‑reference destabilizes. Part II investigates how the dimensionality and structure of identity space affect political dynamics in a bit‑agent model. Agents are 512‑bit strings governed by phase clocks and hysteresis; three historical scenarios (USSR 1937, Weimar 1932, EU 2024) are calibrated from real‑world indices. Increasing identity dimensionality from 64 to 512 bits fundamentally alters key phenomena: the irreversibility threshold rises from 0.30 to 1.146, full‑contact merger jumps from ≈20% to 48–71%, and the stranger paradox reversal strengthens. The central finding is that inter‑group connection density has a non‑monotonic effect on collective merger: probability peaks at density 0.5–0.6 (≈90%) and declines toward full connectivity. These results demonstrate that identity dimensionality is a missing variable in classical social dynamics models, and that network connectivity interacts with high‑dimensional identity in non‑trivial ways.

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