NEURAL INDEX OS

The Equation Library

Every formula in the House of Orange system — interactive, computable, and documented. The math that turns consciousness into verifiable capital.

$€£¥ — Where genius is indexed into immortality's grace

SYSTEM ARCHITECTURE

SCCP

FORTUNE

Measurement Doctrine

V_t

ART

State Function (Vitality)

OrangeIndex

DISKS & SWORDS

Credentialing Covenant

LAW 1: No market privilege without verified vitality state | LAW 2: No vitality increase without evidence from ≥ 2 receipt classes

Vitality State Function

Proof-of-Vitality (Art)

V_t

V_t = w₁·SCCP_t + w₂·P_t + w₃·OI_t + w₄·Streak_t

The real-time vitality measure. A state function — not a score. It tells you the cognitive system's current energy level, integrating measurement precision, performance trajectory, credentialing quality, and consistency.

OrangeIndex

OrangeIndex (Disks & Swords)

OI = (Clarity + Coherence + Consequence + Continuity) / 4

The credentialing covenant. Four sub-indices that measure whether cognitive output is clear, internally consistent, consequential in the world, and maintained over time. A blocking gap in any dimension (< 65) triggers red status.

Cognitive Core Capital

Capital Adequacy (Basel)

CCC

CCC = Σ(verified_receipts × quality_weight × time_decay)

The hard reserve. Like Basel Tier 1 capital, CCC is the total stock of verified cognitive assets that survive stress tests. Only receipts verified by Agent 1 (Protocol Guardian) with ALLOW verdicts contribute. Time-decayed to prevent stale capital inflation.

Liquid Cognitive Capital

Liquidity Management

LCC

LCC = CCC × liquidity_ratio × V_t_normalized

The deployable portion of core capital. Like liquid assets in banking, LCC measures how much of your cognitive capital is immediately actionable — not locked in long-term projects or degraded by low vitality.

Risk-Weighted Cognitive Exposure

Risk Management

RWCE

RWCE = Σ(commitment_i × risk_weight_i)

Your total cognitive risk — all active commitments weighted by their failure probability. Like risk-weighted assets in banking. High RWCE without matching LCC = cognitive insolvency.

Vitality Coverage Ratio

Solvency Monitoring

VCR

VCR = LCC / max(RWCE, 1)

The master solvency ratio. Like the Liquidity Coverage Ratio in Basel III. VCR > 1.0 means you have more liquid cognitive capital than risk exposure. VCR < 1.0 = you are cognitively over-leveraged.

Crown Score

Canon Certification

CS = Σ(w_i × dim_i) where dims = [VC, NT, PA, DA, TC, WD, RH]

The composite genius index for canon entries. Seven dimensions weighted equally by default: Verbal Clarity, Novelty Transmission, Precision Architecture, Depth of Argument, Thematic Coherence, Wisdom Density, Rhetorical Height. ≥ 85 clears the Canon threshold.

Truth Liquidity

DAG Integrity

TL = Agent5_timestamp - Agent1_timestamp

How long between a permission grant (Agent 1) and a reality confirmation (Agent 5). The operational heartbeat of the system. High latency = provenance bottleneck. Near-zero = Agent 5 is firing inline.