A Constructive Existence Proof for Omniscient Intelligence Architectures

This paper provides the constructive existence proof for Omniscient Intelligence (OI) architectures, completing the technical programme initiated in Brahmavar (2026a). We proceed in three stages. First, we establish individual implementability: each of the six OI properties has at least one known computational realisation, grounded in active inference, Integrated Information Theory, hierarchical structural causal models, and Gaussian belief propagation. Second, we establish mutual consistency: the three non-trivial pairwise interactions between properties are resolved via Theorem 1 on convergent EFE-based message passing on cyclic factor graphs, Theorem 2 on Markov blanket separability of system and world model, and Proposition 3 on hierarchical SCM consistency with multi-scale cognition. Third, we establish computational boundedness: the joint OI-Minimal architecture has complexity O(NLKTlog N) with message passing approximations. We conclude by specifying OI-Minimal, a concrete five-component architecture that jointly satisfies all six OI properties.