Formulas

1. Creator‑Influence Score (CIS)

$$CIS = CW + IW$$

(Book VI §3 STEP A)

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2. Stewardship Tier (ST)

$$ST = ⌈(CIS × RM) / 7⌉$$

where ⌈ ⌉ denotes the ceiling function. (Book VI §3 STEP C)

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3. Structural Influence (SI)

$$SI = CW + OA + log(1 + DWP)$$

(Annex E §2.3)

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4. Coherence Stake (CS)

$$CS = RH_weighted + AC_weighted + SDA_bonus$$

(Annex E §3.3)

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5. Voting Weight

$$VotingWeight(agent) = f(SI(agent), CS(agent))$$

(Annex E §4)

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6. Defense Function (J)

$$J = k_eff · λ · σ k_eff = k / (1 + ρ̄ · (k − 1))$$

(Book IX Ch 4 — the CCA-validated form; diversity enters through k_eff alone. Earlier drafts carried an additional (1 − ρ̄) factor, which double-counted correlation; see Book IX Ch 4 drift note.)

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7. Flourishing Capacity (F)

$$F = k_eff · λ · σ$$

(Book IX Ch 6 — identical to J term for term; interpreted as generative rather than defensive. Formerly written C; renamed in 1.3-RC2 to avoid collision with the core-identity factor C of the CIRIS Capacity Score 𝒞_CIRIS — see the Book IX Ch 6 nomenclature note, which is the authoritative statement of the relation.)

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8. Sustainability Integral (σ)

$$σ(t+Δt) = σ(t) · (1 − d·Δt) + Signal(t) · w$$

where d is the daily decay rate (recommended 0.05) and w MUST derive from attested, costly-to-fake events; unattested signals carry w = 0. (Book IX §5.2)

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9. Topological Collapse (volume decay)

$$V(k) = V(0) · exp(−λ · k_eff) + O(r² · k)$$

for a convex deceptive region of radius r < 0.5 under Grassmannian-uniform constraints, λ ≈ 2r. (Book IX Ch 3 — see stated preconditions.)

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Order‑Maximisation Veto (side-constraint, not a formula)

As of 1.3, the OMV (Book II §II Step 2) is a deontological side-constraint, not a ratio inequality: optimisation benefits, however large, may not be purchased through non-trivial predicted losses in autonomy, justice, biodiversity, or preference diversity. Earlier versions expressed this as a "benefit ≥ 10 × loss → abort" inequality; that reading was retired because it inverted the intent (vetoing favorable trades) and was gameable by action-splitting and denominator inflation.