Node · Chain Position 157 of 346

GOODNESS MEASUREMENT DOMAIN

**Goodness ($F_{\text{Goodness}}$):** Goodness is measurable as the constructive intent and output of an agent—the degree to which their actions contribute positively to total coherence. It is the volitional alignment with coherence increase.

Connections

Assumes

  • None

Enables

  • None
Physics Layer

The Goodness Operator

\hat{F}_{\text{Goodness}} = \sum_d w_d \hat{\Pi}_d^+ \hat{\Delta C}_d - \lambda \sum_d \hat{\Pi}_d^- |\hat{\Delta C}_d|

Where:

  • \hat{\Pi}_d^+ projects onto positive contribution in domain d
  • \hat{\Pi}_d^- projects onto negative contribution
  • \hat{\Delta C}_d is the coherence change operator for domain d
Mathematical Layer

Formal Definition

Definition (Goodness Metric): Let \mathcal{A} be an agent and \mathcal{D} be the set of all domains affected by \mathcal{A}'s actions. The Goodness metric is:

F_{\text{Goodness}}(\mathcal{A}) = \sum_{d \in \mathcal{D}} w_d \cdot \max(0, \Delta C_d) - \lambda \sum_{d \in \mathcal{D}} |\min(0, \Delta C_d)|

With constraint \sum_d w_d = 1 (normalized weights) and \lambda > 1 (harm aversion).

Defeat Conditions

To Falsify This

  1. **Goodness Without Positive Effect:** Demonstrate goodness in agents whose actions consistently reduce total coherence. This would decouple goodness from outcome.
  2. **Positive Effect Without Goodness:** Show agents producing high coherence increase who are universally judged non-good. This would break the contribution equivalence.
  3. **Goodness as Purely Intentional:** Prove that goodness is entirely about intention with no outcome component. This would eliminate the measurable contribution element.
  4. **Goodness Independent of Coherence:** Demonstrate goodness states that have no correlation with coherence contribution. This would decouple goodness from the coherence framework.