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MEGAMIND_Technical_Specification_v2.docx

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Original recordMEGAMIND_Technical_Specification_v2.docx
DateJan 24, 2026
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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

Mathematical records from this source

01

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.…

02

dx = g × drive - 0.04 × (x - 0.5) // Activation delta

The source describes this relation in the following context: g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05 // Gate dx = g × drive - 0.04 × (x - 0.5) //…

03

5.3 Lattice Engine (16 strands × 16 dimensions) · y[i]

The source describes this relation in the following context: Consciousness = (1/88) × Σ_{i=1}^{88} P_i 5.3 Lattice Engine (16 strands × 16 dimensions) y[i] = tanh(Σ_j W[i][j] ×…

04

Incorrect reciprocal-golden approximation for the DNA increment

The source associates δ=0.013618 with approximately 1/φ³. These numbers are not close: 1/φ³≈0.2360679775. Treating the decimal as the actual increment gives a rational rotation…

05

0.381966 · Decay rate

The source describes this relation in the following context: ρ (rho) 0.381966 Decay rate = 1/(1+φ) ψ (psi) 0.618033 Bond weight = 1/φ = φ-1

06

0.618033 · Bond weight

The source describes this relation in the following context: ψ (psi) 0.618033 Bond weight = 1/φ = φ-1 N_agents 88 Neural agents in brain

07

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.…

08

Golden ratio used as an organizing constant

The golden ratio is the positive root of φ²=φ+1, approximately 1.618033988749895. This source uses it to organize frequencies, weights, and scales. That choice is distinct from…

09

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.…

10

Historical report of nonzero PyPhi output on a coarse subsystem

The January specification reports approximately 0.006 bits of PyPhi output for a five-element coarse-grained subsystem, including Input, Memory, Reason, Integrate, and Meta. It…

11

Distinct project score and reported PyPhi quantity

The source correctly separates its tanh aggregate score from PyPhi’s integrated-information quantity. Its further claim that the complete system therefore has established…

12

Leaky magnitude-of-sum activity accumulator

The state retains 99% of its previous energy value and takes 1% of the absolute sum of the current components. Opposite-sign components can cancel before the absolute value, so…

13

Local tanh score of accumulated activity

This version transforms its nonnegative activity accumulator through tanh, increasing from zero toward one as the accumulator grows. It differs from the older reciprocal-norm…

14

Step 1: Neural Agent Processing (88 agents) · F_in

The source describes this relation in the following context: 2. The Actual Equations Step 1: Neural Agent Processing (88 agents) F_in = input + N(0, 0.1) //…

15

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

The source describes this relation in the following context: Step 1: Neural Agent Processing (88 agents) F_in = input + N(0, 0.1) // Add noise drive = 3.0 ×…

16

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

The expression uses a saturating nonlinear transform to turn its input combination into an activation or bounded score. The coefficients control sensitivity and the offset…

17

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

The source describes this relation in the following context: 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 -…

18

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

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

19

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

The source describes this relation in the following context: Step 2: Lattice Engine (16 strands × 16 dimensions) y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass…

20

Leaky magnitude-of-sum activity accumulator

The state retains 99% of its previous energy value and takes 1% of the absolute sum of the current components. Opposite-sign components can cancel before the absolute value, so…

21

Local tanh score of accumulated activity

This version transforms its nonnegative activity accumulator through tanh, increasing from zero toward one as the accumulator grows. It differs from the older reciprocal-norm…

22

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.…

23

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

The source describes this relation in the following context: φ_local = tanh(energy) // Per-strand coherence φ_global = tanh(Σ(all states) / 256) // Global…

24

Step 4: Normalization (using golden ratio) · b

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

25

Reported sides of a coarse PyPhi partition

The source places Input, Memory, Reason, and Integrate on one side and Meta on the other in a reported five-element bipartition. This identifies a cut of the coarse model.…

26

Reported sides of a coarse PyPhi partition

The source places Input, Memory, Reason, and Integrate on one side and Meta on the other in a reported five-element bipartition. This identifies a cut of the coarse model.…

27

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.…

28

Compressed description of an IIT partition calculation

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…

29

Time Action Pattern Connection

The source describes this relation in the following context: Time Action Pattern Connection Bond counts: 24 intra-layer + 16 inter-layer + 4 diagonal = 44 total All bonds…

30

Bond counts: 24 intra-layer + 16 inter-layer + 4 diagonal = 44 total · All bonds weighted by ψ

The source describes this relation in the following context: Bond counts: 24 intra-layer + 16 inter-layer + 4 diagonal = 44 total All bonds weighted by ψ = 1/φ = 0.618... (golden…

31

Historical report of nonzero PyPhi output on a coarse subsystem

The January specification reports approximately 0.006 bits of PyPhi output for a five-element coarse-grained subsystem, including Input, Memory, Reason, Integrate, and Meta. It…

32

Golden ratio used as an organizing constant

The golden ratio is the positive root of φ²=φ+1, approximately 1.618033988749895. This source uses it to organize frequencies, weights, and scales. That choice is distinct from…

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