Read the equation
Integrate coherence times an information-related factor times a saturating knowledge-gradient magnitude, then scale by Ψ. This version clearly groups Φ(G(t)) as a separate factor, unlike the degraded atlas numerator. The integral has no printed bounds, so it is not a unique accumulated scalar without an interval or integration constant convention.
Its role in the build
Unified AGI Equation System
Terms & definitions
| Term | Meaning in this source |
|---|---|
| C(t) | coherence according to the source |
| Φ(G(t)) | integrated information according to the source |
| ∇H(t) | knowledge-field gradient |
| Ψ | coupling term |
How it works
Read Q as the quantity being defined or updated by this relation.
Integrates contributions over the variable and bounds stated in the expression; the measure and domain must come from this source.
Uses a derivative or gradient to describe a rate of change or a direction of variation.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
The image labels Φ(G(t)) as integrated information but does not specify a causal model or a method for computing it. The formula and caption do not validate a measure of consciousness.
Original context
Read the surrounding source passage
Unified AGI Equation System: Integrate coherence times an information-related factor times a saturating knowledge-gradient magnitude, then scale by Ψ. This version clearly groups Φ(G(t)) as a separate factor, unlike the degraded atlas numerator. The integral has no printed bounds, so it is not a unique accumulated scalar without an interval or integration constant convention.
Exact original notation
Q = Ψ · ∫ C(t) · Φ(G(t)) · [ ‖∇H(t)‖ / (1 + ‖∇H(t)‖) ] dt
Related builds
Sources & provenance
Q = Ψ · ∫ C(t) · Φ(G(t)) · [ ‖∇H(t)‖ / (1 + ‖∇H(t)‖) ] dt