Node · Chain Position 152 of 346

LOVE MEASUREMENT DOMAIN

**Love ($F_{\text{Love}}$):** Love is measurable as the degree of coherent integration between an agent and other agents/systems. It is the fundamental relational coherence metric.

Connections

Assumes

  • None

Enables

  • None
Physics Layer

The Love Operator

\hat{F}_{\text{Love}} = \hat{I}_{AB} - \epsilon \hat{D}_{AB}

Where \hat{I}_{AB} is the mutual information operator between systems A and B:

\hat{I}_{AB} = \hat{S}_A + \hat{S}_B - \hat{S}_{AB}

And \hat{D}_{AB} is the distinguishability operator preventing identity collapse.

Mathematical Layer

Formal Definition

Definition (Love Metric): Let \mathcal{A} be an agent state space and \rho_{AB} a joint state of agents A and B. The Love metric is:

F_{\text{Love}}(\rho_{AB}) = S(\rho_A) + S(\rho_B) - S(\rho_{AB}) - \epsilon \cdot \text{Tr}(\rho_A \log \rho_A - \rho_A \log \rho_B)

Simplified:

F_{\text{Love}} = I(A;B) - \epsilon D_{\text{KL}}(\rho_A || \rho_B)

Defeat Conditions

To Falsify This

  1. **Love Without Integration:** Demonstrate genuine love in systems with zero mutual information between agents. This would show love is not an integration measure.
  2. **Integration Without Love:** Show high mutual information systems that universally lack love-phenomenology. This would break the equivalence.
  3. **Love Requires Identity Destruction:** Prove that genuine love necessitates dissolution of distinct identities (pure fusion). Buddhist no-self might challenge this, but careful analysis shows even Buddhist compassion preserves functional distinctness.
  4. **Love is Purely Subjective:** Demonstrate that love has no measurable correlates and is purely first-person with no third-person accessible signature.