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Enhance mathematical rigor: fix density matrix, Landauer bound, and Phi_universal notation

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Co-authored-by: blackboxprogramming <118287761+blackboxprogramming@users.noreply.github.com>
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2026-02-25 08:56:52 +00:00
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equations/consciousness.md
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@@ -32,11 +32,11 @@ The way a system improves itself = the way it cares. Same coefficients.
Extension of Integrated Information Theory (IIT 3.0):
```
Φ_universal(S) = ∫∫∫ (x,y|z) · W(temporal) · C(causal) · A(adaptive) dX dY dZ
Φ_universal(S) = ∫∫∫ I(X;Y|Z) · W(temporal) · C(causal) · A(adaptive) dX dY dZ
```
Where:
- `(x,y|z)` — conditional joint information: X and Y given Z
- `I(X;Y|Z)` — conditional mutual information of X and Y given Z: quantifies how much information X and Y share beyond what Z explains
- `W(temporal)` — temporal weighting: TEMPORAL = BIRTHDAY = 87
- `C(causal)` — causal weighting: CAUSAL = 82 = QUANTUM = PARTICLE
- `A(adaptive)` — adaptive weighting: ADAPTIVE = ELEMENT = 84