IIT Formalizes Consciousness as Integrated Information Φ, Not Computation — E8 Intelligence Research

Abstract

FINDING: IIT formalizes consciousness as integrated information (Φ), quantified via cause-effect power over a system's state space, not as a computational byproduct. | MATH: Φ = minimum information partition (MIP) normalized difference: Φ = min_P [H(X|MIP) − Σ H(parts)]; IIT 3.0/4.0 uses Earth Mover's Distance (EMD) over probability distributions of cause-effect repertoires; PyPhi computes Φ via system partitions; state-space dimensionality = 2^n for n elements. | CONNECTION: Φ's maximization over system subsets resembles lattice/poset structure — the power set of elements forms a Boolean lattice; the "cause-effect structure" is a directed graph with symmetries akin to crystallographic point groups (e.g., reflection symmetries in repertoires); no explicit golden ratio or base-60 appears in the cited sources. | DEPTH: 7 — mathematically rigorous but domain-specific; no direct geometric constants; the lattice connection is structural, not numeric. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com