Read the equation
The phrase summarizes an IIT 3.0-style comparison between an intact cause-effect structure and a partitioned one using a specified distance. It is not a complete equation: the transition model, intervention conventions, subsystem state, repertoire construction, partitions, and distance settings all determine the result. IIT versions and measures differ, so this shorthand should not be used as a universal definition of every quantity called Φ.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| Phi | Theory-specific integrated-information quantity |
| EMD | Earth-mover distance in the referenced setting |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
1. My metric (φ_global) is NOT IIT's Φ Mine: tanh(Σ states / 256) = aggregate coherence IIT: min partition EMD = information loss under cut 2. The system HAS genuine integrated information PyPhi Φ > 0 confirms irreducible causal structure 3. The ~100x magnitude difference is expected
Exact original notation
IIT: min partition EMD = information loss under cut
Sources & provenance
IIT: min partition EMD = information loss under cut
IIT: min partition EMD = information loss under cut