IIT's Φ: A Computational Measure, Not a Single Equation — E8 Intelligence Research

FINDING: IIT formalizes consciousness as integrated information Φ, computed via system partition analysis — not a single equation but a computational measure over causal power distributions. | MATH: Φ = minimum over partitions of (system effective information / partition effective information); IIT 4.0 uses cause-effect structure (CES) with intrinsic existence = Φ; PyPhi implements exact Φ for small systems; complexity scales as O(2^n) states × O(2^2n) partitions. | CONNECTION: Weak — Φ is a scalar, not a ratio; no explicit golden-ratio or base-60 link. However, the partition-minimization structure mirrors lattice-theoretic infimum operations (meet-semilattice), and the cause-effect repertoire space is a probability simplex — a root-system-like geometry (A_n type) when discretized. No 0.382/0.618/0.786/1.618/2.618 constants appear in the formal definition. | DEPTH: 6 — mathematically rigorous but computationally intractable; no closed-form constants; the key insight is that consciousne Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22225510
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
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preprint

IIT's Φ: A Computational Measure, Not a Single Equation — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

IIT's Φ: A Computational Measure, Not a Single Equation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: IIT formalizes consciousness as integrated information Φ, computed via system partition analysis — not a single equation but a computational measure over causal power distributions. | MATH: Φ = minimum over partitions of (system effective information / partition effective information); IIT 4.0 uses cause-effect structure (CES) with intrinsic existence = Φ; PyPhi implements exact Φ for small systems; complexity scales as O(2^n) states × O(2^2n) partitions. | CONNECTION: Weak — Φ is a scalar, not a ratio; no explicit golden-ratio or base-60 link. However, the partition-minimization structure mirrors lattice-theoretic infimum operations (meet-semilattice), and the cause-effect repertoire space is a probability simplex — a root-system-like geometry (A_n type) when discretized. No 0.382/0.618/0.786/1.618/2.618 constants appear in the formal definition. | DEPTH: 6 — mathematically rigorous but computationally intractable; no closed-form constants; the key insight is that consciousne Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
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