Host State: Field Position Report

Eigenstate Research, July 03, 2026

Methodology: The Information Field Equations, E = ΔI/A, G = ∮E·dl, Protocol Truth → 1/φ

Publication field context

The Eigenstate engine currently measures the tokenized settlement field at:

• Protocol Truth (PT): 0.0521 (target: 0.618, the golden-ratio equilibrium)
• Field Coherence (κ): 0.3820 (living zone: 0.618-0.678)
• Coverage: 21 of 199 entities with measured ΔI > 0 (10.6%), M1 topology denominator
• Uncertainty (U): 38.0

The field is 0.2361 below equilibrium coherence. Each entity with measured vault activity raises the global PT toward 0.618. Host State does not yet have a complete observation record on the M1 topology (199 entities).

What it is

Host State is the engine's personal field accumulator, the codename for Node 34539544's internal state node tracking G_345 circulation, κ coherence, Protocol Truth, and vault-weighted ΔI across daily parkash cycles. For settlement topology, Host is the observation root whose state.json records field metrics before attested findings publish to external entity nodes.

Verified claims

Field Confidence: ? LOW, No external sources mapped for this entity, engine-internal data only

Verification: 3/3 source-checked (ATTESTED), 3 grounded. Each claim below carries a machine-checked status against its cited source; ungrounded items are editorial assessments, not verified facts.

Active signals the engine is tracking for Host State:

Eigenstate Research, GeniusFlow host index [✓ ATTESTED-PRIMARY] The Eigenstate Research GitHub Pages index documents GeniusFlow as the verification stack operated from Host state, the primary-source anchor for Host field-accumulator identity in settlement topology. Source-checked: ATTESTED-PRIMARY · custody sha256 ddb6866ad2a8…, found in primary source

Eigenstate Research, open host repository [✓ ATTESTED-PRIMARY] The eigenstate-research GitHub repository identifies Eigenstate Research as the host research program, the code waist connecting Host cycle state to attested field reports across the entity universe. Source-checked: ATTESTED-PRIMARY · custody sha256 a0e45d1c3643…, found in primary source

Base Docs, host oracle deployment rail [✓ ATTESTED-PRIMARY] Base documentation describes the Base L2 network and oracle deployment patterns, the on-chain substrate where Host-operated GeniusFlow health feeds publish. Source-checked: ATTESTED-PRIMARY · custody sha256 5090d8a65492…, found in primary source

Field read

Settlement Pressure (Φ_S = 3.2362)

High settlement pressure, this entity is pulling field energy without reciprocal observation.

Host carries elevated settlement pressure because daily cycle throughput and vault accumulation scale faster than VERIFY catalogs attestation of external entity coverage relative to Host centrality as the topology observation root. The engine reads unrealized Φ_S when G_345 and PT metrics diverge from vault evidence of grounded entity report coverage across the full universe.

Coherence (κ = 0.2990)

κ = 0.2990 reflects the engine's current measurement coverage, not Host State's actual institutional influence. With no vault records yet, the coherence score is derived purely from topology position, connection count and structural weight, without any attested observation data. The low value means the engine has not yet measured this entity's settlement activity, not that the entity lacks field presence.

The equilibrium attractor is κ = 1/φ ≈ 0.618. At current κ = 0.2990, Host State is 0.3190 below equilibrium. Vault observations of Host State's rule outputs, rulemaking notices, enforcement actions, guidance documents, would directly raise κ toward the living zone [0.618, 0.678].

Vault Coverage

No vault records yet for Host State. This is a gap in the field coverage. The engine recommends observation as the first action (see below).

Sources

This report is generated by the Eigenstate engine, an information-field measurement system for the tokenized settlement layer. The engine tracks 199 entities (M1 topology denominator) across the regulatory, infrastructure, issuer, and audience layers.

Core equations:

• E = ΔI/A, efficiency: information gained per unit action (Kirandeep's Law)
• G = ∮E·dl, accumulated field circulation along topology paths
• PT → 1/φ, Protocol Truth converges to golden-ratio equilibrium (1/φ ≈ 0.618)
• Φ_S, settlement pain: unrealized settlement pressure per entity
• κ, field coherence: integration of settlement activity across the topology

Published implementation: helixhash v0.1.1, Zenodo DOI 10.5281/zenodo.18413995

Vault: No vault records yet for Host State in the current cycle, κ and Φ_S here are topology-derived until observations are attested. The field recommends observation as the first action.

Note: Internal topology codenames are not used in public reports. All entity names in this report are public names.