Read the equation
Dividing the averaged balance γC=I by γ gives C=I/γ. Thus the candidate state is controlled by the ratio of input to consumption. There is no uniquely selected golden-ratio value until the input is chosen accordingly.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| C_star | Candidate averaged state |
| I_star | External input level |
| γ | Nonzero consumption coefficient |
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
\begin{equation}
-\gamma C^* + I^* \cdot (1 + \cos(\golden t \cdot \fib{n})) = 0
\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 $\golden^{-1} \approx 0.618$.Exact original notation
C^* = I^*/\gamma