Read the equation
The reciprocal score compares a scalar x with the chosen target 1. It reaches 1 exactly at that target, decreases symmetrically with distance, and is positive for every finite input. In the manuscript it is proposed as a consciousness-related score, but its arithmetic measures proximity to one; no causal partition or integrated-information calculation appears in this definition.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| Φ | Unity-centered project score |
| x | Scalar measurement being scored |
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.
Explore the function
Move the input to see the unity score itself. This illustration computes only the displayed scalar; it is separate from the archived systems and their telemetry.
Assumptions & limits
The function is continuous but not differentiable at x=1.
The same Greek letter denotes different quantities in IIT and in other project modules.
Original context
Read the surrounding source passage
\begin{definition}[Unity Consciousness Metric]
For system state $x \in \mathbb{R}^+$, the consciousness metric is:
\begin{equation}
\Phi(x) = \frac{1}{1 + |x - 1|}
\label{eq:phi}
\end{equation}
\end{definition}
This metric has several desirable properties:
\begin{itemize}Exact original notation
\Phi(x) = \frac{1}{1 + |x - 1|}