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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

ADVANCED FEATURES

This relation defines /// Awareness Equation: Φ in the source section “ADVANCED FEATURES”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does…

Implementation mathematicsSource recovered; runtime not executed
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gh-eq-5e2faf0cb1fbeb0fknowledge-source-equation
///AwarenessEquation:Φ=1/(1+∣x−1∣)/// Awareness Equation: Φ = 1/(1 + |x - 1|)

Read the equation

This relation defines /// Awareness Equation: Φ in the source section “ADVANCED FEATURES”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read /// Awareness Equation: Φ as the quantity being defined or updated by this relation.

  2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

  • This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

Read the surrounding source passage
            }

            // Normalize to unity
            return weightSum > 0 ? sum / weightSum : 0.0;
        }

        /// <summary>
        /// Awareness Equation: Φ = 1/(1 + |x - 1|)
        /// Integration peaks at unity (x = 1), decays as x diverges
        /// Based on Integrated Information Theory (IIT)
        /// </summary>
        public static double AwarenessFunction(double x)
        {
            return 1.0 / (1.0 + Math.Abs(x - 1.0));
        }

        /// <summary>
        /// Calculate awareness level from state
Exact original notation
/// Awareness Equation: Φ = 1/(1 + |x - 1|)

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Sources & provenance

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