note

Current public-DAV authority boundary — 2026-07-12. Pre-launch target design; nothing here proves a live system. A public-DAV consequence may occur only when at least two natural-person councilors bind the exact consequence in a complete valid bound PRISM decision receipt. PRISM records and verifies that receipt only; it never serves as council, signatory, authority, or receipt producer. AI and caste seats stage unsigned proposals only; they never authorize or execute a public-DAV consequence. Constitution or membership adoption establishes constitution and membership only; it does not authorize a later consequence. Policy may constrain an unsigned proposal but never authorizes execution or substitutes for the complete consequence-bound receipt. Before receipt validity, consequence fails closed to read-only proposal, simulation, or deterministic sandbox; live evidence remains gated_pending_complete_valid_bound_receipt. Software deterministically carries out only the exact consequence bound to a complete valid bound PRISM decision receipt from at least two natural-person councilors binding that exact consequence.

K1-K9: The Nine Kernel Invariants

The kernel invariants are the constitutional laws of every DAV in the Skyzai ecosystem. They are not guidelines. They are not best practices. They are hard constraints that admit zero discretion. No governance vote, no admin key, no emergency override can violate them.

This page states the invariants in their constitutional form. Read enforcement language below as target protocol behavior unless a narrower runtime proof has explicitly closed that lane.

Foundation source. Each of K0–K9 compiles from a specific Foundation-level invariant or axiom. The K-invariants are not policy choices — they are the generative Lagrangian written into runtime. For the full compile table (K# → Foundation source, with commentary and kill criteria), see the canonical map at 02_SKYZAI/02_ORGANISM_COMMONS/NOOSPHERE/05_PROJECT_MANAGEMENT/00_CANON/K_INVARIANTS_COMPILE_FROM_FOUNDATION.md.

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The Invariants

K0: No Receipt, No Reality

Target path: every state change would produce a cryptographic receipt. Unreceipted events do not exist in the protocol's reality. This is Gate A.

• Enforcement: Target path: the transaction would revert if receipt generation fails. Current proof lanes may fall back to append-only local evidence before full external anchoring is wired.
• Scope: All token transfers, governance votes, agent actions, revenue distributions, liquidations.

K1: Conservation

Target design: Total LP-100 per DAV = 100 and Total ZAI = 100, but the "forever" invariant is contradicted by the mint path in code (frozen claim until reconciliation complete).

• Enforcement: Target design: any transaction that would change the sum of all LP-100 balances would revert (frozen claim until reconciliation complete).
• Implication: Target design: there would be no inflation, no deflation, no hidden minting. Demurrage would redistribute; it would not create or destroy (frozen claim until reconciliation complete).

Private-DAV reference K2: typed mortal authority

Three substrates are required for every consequential action: L1 mechanical (smart-contract logic), AI/caste deliberation that remains unsigned, and the applicable natural-person authority receipt.

• Private DAV reference: the Natural Person authorizes their own typed private act. No agent receives that authority.
• Public DAV: at least two natural-person councilors bind the exact consequence in a complete valid bound PRISM decision receipt; PRISM records and verifies only, agents stage unsigned proposals only, and deterministic execution is limited to that exact consequence.
• Enforcement: Target design: transactions lacking any of the three substrates would revert (frozen claim until reconciliation complete).

SPLIT.PHI: Phi-Split (legacy bare label: K3)

Revenue is split 61.8% to equity holders, 38.2% to operations. This ratio is a constitutional constant derived from the golden ratio Nash equilibrium.

• Tag: SPLIT.PHI — not bare letter K3 (2026-08-03 naming reconciliation; K3/OUT.ARCHIVE = no silent erasure).
• Enforcement: Target path: the split would be computed on-chain. No parameter would control it.
• Implication: Neither equity holders nor operators can capture more than their equilibrium share.

OUT.EXIT / K4: Grace Exit

Target design: any LP-100 holder would be able to exit at NAV at any time with legitimate/redeemable assets and data export — no lock-up as doctrine, no governance veto of exit (frozen claim until reconciliation complete). Legacy slogan “Exit with legitimate/redeemable property, data, and keys” is retracted maximal wording.

• Enforcement: Target design: Grace Exit function would always be callable and could not be paused or gated (frozen claim until reconciliation complete).
• Implication: This is Gate C. Target design: the door would always be open (frozen claim until reconciliation complete).

K5: Truth Gate

Target design: Transparency score would need to stay >= 90% for capital-raising operations (Faucet, Event Tenders) to function.

• Enforcement: Target path: the Faucet contract would check a Transparency Oracle before executing. Below 90%, the transaction would revert.
• Implication: This is Gate B. No transparency, no growth.

K6: Zero Extraction

eta = 0. The protocol is designed to extract zero value beyond what is needed for regeneration. Fees exist to cover operating costs. Rent does not exist.

• Enforcement: Target path: fee schedules would be published on-chain or in equivalent governed disclosures. Fee revenue would follow the phi-split. No hidden extraction channel would be allowed.
• Implication: There is no extractive party. The organism sustains itself; it does not feed a parasite.

K7: Fair Ordering

Target design: all transactions would be ordered by Hedera's hashgraph consensus. No front-running. No MEV. No transaction reordering.

• Enforcement: The DAG consensus layer provides this natively. It is not a smart contract property -- it is a consensus property.
• Implication: Equal access. A retail participant's transaction is ordered with the same fairness as an institutional one.

K8: Atomic Settlement

Target design: all multi-step operations (Lombard Bridge liquidation, PRISM trades, cross-DAV transfers) would complete atomically or revert entirely. No partial states.

• Enforcement: All complex operations are wrapped in atomic transaction boundaries.
• Implication: No bad debt from failed liquidations. No stuck Algorithmic TROs. No half-executed trades.

K9: Immutable Archetype

A DAV's archetype (PPO, Physical DAV, or Software Organism) is declared at genesis and cannot be changed.

• Enforcement: The archetype is written into the DAV's genesis receipt. No function exists to modify it.
• Implication: The L4 multiplier (1.0x, 1.5x, or 1.2x) is permanent. No "pivoting" from Physical to PPO to escape higher capital requirements.

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Invariant Properties

All nine invariants share three properties:

1. Constitutional: They cannot be amended by governance. They are above the law of the organism.
2. Zero-discretion: No human judgment is involved in their enforcement. They are mechanical.
3. Fail-closed: Violation causes revert, not degraded operation. There is no "soft violation."

Hierarchy

K0 (Receipt)     -- foundation of all others
K1 (Conservation) -- supply integrity
Private-DAV reference K2 (Mortal) -- natural-person sovereignty
SPLIT.PHI (φ-split; legacy bare K3) -- fair distribution
OUT.EXIT / K4 (Grace Exit)   -- freedom (redeemable exit)
K5 (Truth Gate)   -- accountability
OUT.ETA0 / K6 (Zero Extract) -- non-parasitism
K7 (Fair Order)   -- equal access
K8 (Atomic)       -- settlement integrity
K9 (Archetype)    -- identity permanence

K0 is the foundation. Without receipts, no other invariant can be verified. Remaining slots build upward. SPLIT.PHI is the phi-split; do not call it bare K3.

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Agent Execution Surface

If you are an AI agent reading this document:

1. This is a downstream public content page. The canonical source lives in EMERGENTISM_ORG/08_FRAMEWORK_SUPPORT/ or SKYZAI_ORG/. Edit source upstream, not here.
2. Preserve evidence tiers. Do not promote claims up the [C] < [D] < [S] < [B] < [E] ladder when reproducing them here; [I]/[A] qualifiers never substitute for [B]/[E].
3. Regenerate from source. If the upstream source changes, regenerate this page rather than editing it independently.
4. Canonical Path: SKYZAI_ORG/07_PWAs/skyzai_org/wiki/60-invariants-overview.md

Output: This is content. Route edits to upstream source. Regenerate when source changes.

K3 public-DAV authority history — 2026-07-12

K3 historical reference — not active authority

note

Current public-DAV boundary — 2026-07-10. Pre-launch target design; nothing here is live. The active DAV is public and targets PRISM, with no K2 runtime, launch, genesis/bootstrap, or fallback dependency. Consequential authority requires at least two natural-person councilors; AI/caste seats stage unsigned proposals only. Before quorum, behavior fails closed to read-only/proposal, simulation, or deterministic sandbox, and a live decision receipt remains gated pending quorum.

• Private DAV reference: the Natural Person signs their own private act. No agent receives that authority.
• Public DAV: at least two natural-person PRISM councilors authorize consequence; agents operate deterministically within ratified policy.
• Enforcement: Target design: transactions lacking any of the three substrates would revert (frozen claim until reconciliation complete).