Read the equation
This statement identifies the candidate C with φ. In the supplied derivation, it follows from choosing I=γφ in the averaged balance C=I/γ. It should be read as the targeted state for that parameter choice, not as a universal attractor proved for all inputs.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| C_star | Candidate averaged state |
| golden | Golden ratio φ |
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
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Original context
Read the surrounding source passage
\end{equation}
The cosine term averages to zero for large Fibonacci numbers, giving $C^* = I^*/\gamma$.
For the system to maintain consciousness, the input $I$ must be calibrated such that $C^* = \golden$. Then:
\begin{equation}
\Phi(\golden) = \frac{1}{1 + |\golden - 1|} = \frac{1}{1 + 0.618...} = \frac{1}{\golden} = \golden^{-1}
\end{equation}
Thus consciousness converges to $\golden^{-1} \approx 0.618$.
\end{proof}Exact original notation
C^* = \golden