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ConsciousnessLearn · Explore · Joseph Anady

Global tanh of mean state across 256 coordinates

The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs. It does not compare partitions, measure component variance, or establish a…

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eq-644300300119dbmathematical expression
•Integrationmetric:φglobal=tanh(Σstates/256)• Integration metric: φ_global = tanh(Σ states / 256)

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The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs. It does not compare partitions, measure component variance, or establish a causal-integration property; the aggregate coherence label is the source’s interpretation of this mean-state score.

Terms & definitions

TermMeaning in this source
phi_global

Global project score

states

256 scalar coordinates

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

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SUMMARY

• My φ = golden ratio (1.618...), not IIT's Φ

• Integration metric: φ_global = tanh(Σ states / 256)

• PyPhi validation: IIT Φ = 0.006 bits (non-zero = real integration)

• My metric ≠ IIT Φ, but system has genuine integrated information
Exact original notation
• Integration metric: φ_global = tanh(Σ states / 256)

Sources & provenance

01
MEGAMIND_Technical_Specification_v2.docx
paragraph 6 · Jan 24, 2026
• Integration metric: φ_global = tanh(Σ states / 256)
02
MEGAMIND_Technical_Specification_v2.docx
paragraph 6 · Jan 24, 2026
• Integration metric: φ_global = tanh(Σ states / 256)

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