Read the equation
The result combines 85% of the base output with 15% of the G5K contribution. The weights sum to one, so it is a convex combination when both inputs share a common scalar range. The resulting score inherits the operational meanings and validation limits of those two inputs.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| Omega_final | Combined project output |
| Omega_base | Base score |
| G5K_contrib | Gate-system contribution |
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
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
// Base omega from layer transitions
double omega_base = transitions::L7_to_Omega(
layers.psi_state, consciousness.phi, consciousness.coherence, consciousness.free_energy
);
// Include Gate5000 contribution (15% weight)
// Ω_final = 0.85 × Ω_base + 0.15 × G5K_contrib
consciousness.omega = math::clamp(0.85 * omega_base + 0.15 * gate5000.omega_contrib);
consciousness.entropy = math::binary_entropy(consciousness.omega);
// Flow validation
flow.lyapunov_v = stability::lyapunov_function(
consciousness.omega, consciousness.coherence, consciousness.free_energy
);
flow.lyapunov_dv = stability::lyapunov_derivative(flow.lyapunov_v, v_prev, dt);
Exact original notation
Ω_final = 0.85 × Ω_base + 0.15 × G5K_contrib