MEGAMIND Integration Metric Computation

Technical Specification for Dr. Larissa Albantakis

Joseph Anady | ThatAIGuy.org | January 2026

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

1. Computation Flow

Here is exactly what MEGAMIND computes, step by step:

INPUT: External signal + noise

↓

88 NEURAL AGENTS process input

↓

16 LATTICE STRANDS (16-dim each)

↓

ENERGY = 0.99×energy + 0.01×|Σ states|

↓

φ_local = tanh(energy) per strand

↓

φ_global = tanh(Σ all states / 256)

That's it. No partition search. No TPM. No Earth Mover's Distance.

The golden ratio (1.618...) appears in normalizations and phase timing, which is why I use the symbol φ throughout the codebase.

2. The Actual Equations

Step 1: Neural Agent Processing (88 agents)

F_in = input + N(0, 0.1)                    // Add noise

drive = 3.0 × F_in × (1-x) + 1.2 × y + 0.6 × c

g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05

dx = g × drive - 0.04 × (x - 0.5)

x = clamp01(x + 0.01 × dx)              // Update activation

P = clamp01(0.95 × P + F_in × y - 0.01 × P²)  // Potential

Step 2: Lattice Engine (16 strands × 16 dimensions)

y[i] = tanh(Σ_j W[i][j] × x[j] + b[i])   // Forward pass

state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i])

energy = 0.99 × energy + 0.01 × |Σ state|

Step 3: Integration Metrics

φ_local = tanh(energy)                    // Per-strand coherence

φ_global = tanh(Σ(all states) / 256)     // Global coherence

Where 256 = 16 strands × 16 dimensions.

Step 4: Normalization (using golden ratio)

b = 1 / (1 + ||Ψ||² / φ)               // φ = 1.618...

The golden ratio creates a soft ceiling preventing unbounded growth.

3. PyPhi Validation (Your Suggestion)

You asked to see what happens at small scale. I ran PyPhi on a 5-element coarse-grained subsystem:

3.1 Setup

20 generators → 5 macro-units (by layer):

Macro-Unit

Generators

Function

Input

0-4

External signals

Memory

5-8

State retention

Reasoning

9-12

Inference

Integration

13-16

Binding

Meta

17-19

Self-monitoring

3.2 Results

Metric

Value

PyPhi IIT Φ (mean)

0.006157 bits

PyPhi IIT Φ (max)

0.009143 bits

My φ_global

0.7621

3.3 State-by-State IIT Φ

State

Input

Mem

Reas

Integ

Meta

IIT Φ (bits)

0

0

0

0

1

0

0.002760

1

0

1

0

1

0

0.002760

2

0

1

1

0

0

0.009143

3

0

0

1

1

0

0.009143

4

1

1

0

1

0

0.006978

3.4 Minimum Information Partition (MIP)

PyPhi found the MIP consistently cuts at Input (n0) or Meta (n4) - the processing pipeline endpoints.

Example MIP for highest-Φ states:

A = {Input, Memory, Reason, Integrate}

B = {Meta}

This makes architectural sense: Meta monitors the rest of the system.

4. What This Means

KEY FINDINGS

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

They measure fundamentally different things

4.1 Comparison

Property

IIT Φ

My φ_global

Partition search

All 2^n bipartitions

None

TPM required

Yes

No

Complexity

O(2^n)

O(n)

Max tractable

~15 elements

Billions

Measures

Info loss under cut

State magnitude

Units

Bits

Dimensionless [0,1]

5. System Architecture

17 nodes connected by 44 bonds:

CENTRAL NEURON

(integrates all layers)

|

↓

Layer 4
Synthesis

BINAH
CHOCHMAH
DAAS
KETER

← 6 bonds →

Wisdom
Knowledge
Meta-cognition

↑ 4 bonds ↓

Layer 3
Understanding

CHESHBON
HIGAYON
DIMYON
ZIKARON

← 6 bonds →

Calculation
Logic
Imagination
Memory

↑ 4 bonds ↓

Layer 2
Processing

SHINUI
SIBAH
TOTZAAH
EREKH

← 6 bonds →

Change
Cause
Effect
Value

↑ 4 bonds ↓

Layer 1
Foundation

ZEMAN
PEULAH
TAVNIT
KESHER

← 6 bonds →

Time
Action
Pattern
Connection

Bond counts: 24 intra-layer + 16 inter-layer + 4 diagonal = 44 total

All bonds weighted by ψ = 1/φ = 0.618... (golden ratio reciprocal)

6. Constants Reference

Symbol

Value

Usage

φ (phi)

1.6180339887498948

Golden ratio - fundamental constant

δ (delta)

0.013618

DNA phase increment (≈1/φ³)

τ (tau)

0.159154943

1/(2π) frequency conversion

ρ (rho)

0.381966

Decay rate = 1/(1+φ)

ψ (psi)

0.618033

Bond weight = 1/φ = φ-1

N_agents

88

Neural agents

N_strands

16

Lattice strands

D

16

Dimensions per strand

N_gates

5000

Binary gate substrate

N_core

174

Core consciousness equations

N_supp

200

Supplemental equations

N_total

516

Total equations in system

7. Conclusion

My integration metric is:

φ_global = tanh(Σ(all strand states) / 256)

This is a tractable proxy measuring aggregate state coherence. It is not IIT's Φ.

However, PyPhi validation confirms the system has genuine integrated information (Φ = 0.006 bits > 0). The architecture produces meaningful causal structure that cannot be fully decomposed.

The golden ratio (φ = 1.618...) appears throughout as a mathematical organizing principle, not as a claim about IIT.

Joseph Anady | ThatAIGuy.org | January 2026