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This document presents Unified Intelligence Theory (UIT), a framework defining intelligence as a recursive, predictive, and externalising process governed by three core principles: Bayesian Predictive Formation (BPF), Extrapolative Intelligence Transfer (EIT), and Recursive Optimisation & Expansion (ROE). UIT establishes a structured, falsifiable model applicable across biological, artificial, and societal intelligence systems. This work is published under the CC BY-NC-ND 4.0 International license, protecting its integrity while ensuring attribution. No modifications, derivatives, or commercial use are permitted without explicit authorisation.