IIT's Phi: Lossy Formalizations and Absent Geometric Constants — E8 Intelligence Research

FINDING: Integrated Information Theory (IIT) quantifies consciousness via phi (Φ), a measure of irreducible causal interactions within a system, but formalizations remain lossy and non-unique. | MATH: Φ = min over partitions of (system information – partitioned information); algorithmic information theory variant: Φ_alg = K(system) – Σ K(parts) where K is Kolmogorov complexity. No fixed constants or ratios emerge. | CONNECTION: No direct geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries) is present in the cited findings. The theory relies on graph-theoretic partitions and information-theoretic measures, not on harmonic or lattice structures. | DEPTH: 4 — The mathematical framework is rigorous but lacks universal constants or geometric invariants; it is a computational/neuroscientific model, not a fundamental physics principle. The algorithmic information theory variant (arXiv:1405.0126v1) hints at deeper connections to complexity theory but d Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com