D-007: Alignment

Definition

Alignment is the degree of coherence between an agent’s will/action and the Logos Field ($\chi$) — the geometric orientation measured by the Orientation Operator ($\sigma$).

Formal Statement

$$\text{Alignment}(A) = \sigma_A \cdot \cos(\theta_{A,\chi})$$

Where $\theta$ is angle between agent’s will vector and Logos flow.

Values

Alignmentσ ValueMeaning
Full+1Complete coherence
Partial(0,1)Partial alignment
None0Orthogonal / indifferent
Opposed(-1,0)Partial misalignment
Anti-1Complete opposition

Key Properties

  • Objective: Not subjective preference
  • Measurable: In principle, via $\sigma$
  • Moral Basis: Good = aligned; Evil = misaligned

(TO BE FILLED)

Theological Correlate

  • Righteousness — alignment with God’s will
  • Sin — misalignment
  • Sanctification — progressive alignment

Where it appears