Ethereum: Field Position Report

Eigenstate Research, April 11, 2026

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

Publication field context

What it is

Ethereum is a topology node in the tokenized settlement layer. The engine tracks 200 entities across regulatory, infrastructure, issuer, and audience layers.

The engine maps 32 direct connections from Ethereum, information flow, custody, regulatory, and funding relationships that determine how settlement signals propagate through the field.

Field read

Settlement Pressure (Φ_S = 1.6381)

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

Settlement pressure this high means the engine has detected Ethereum exerting significant gravitational pull on the field, information and capital flow toward it, but the measurement ledger (vault) has not yet recorded reciprocal settlement evidence. The gap between what the field shows and what has been attested is the source of the pressure.

Coherence (κ = 0.0000)

κ = 0.0000 reflects the engine's current measurement coverage, not Ethereum'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 = 0.0000, Ethereum is 0.6180 below equilibrium. Vault observations of Ethereum'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 Ethereum. This is a gap in the field coverage. The engine recommends observation as the first action (see below).

Field read · recommendations

The following actions are ranked by capital-adjusted score from the current photon queue:

1. Publish network analysis of ETHEREUM and its 32 connections

• E = 7.79 (ΔI = 19.11 / A = 3.20)
• Capital-adjusted score: 2,519,133
• Estimated effort: 4h
• Action type: connect

Field read · concentration

Ethereum ranks #5 in the field's power concentration with a score of 2.95 (field total: 80.43).

The top 5 entities control 72.8% of field power (Gini = 0.59). High concentration with low vault coverage (14.0%) is the primary source of PT = n/a vs target 0.618.

Sources

This report is generated by the Eigenstate engine, an information-field measurement system for the tokenized settlement layer. The engine tracks 200 entities 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: All measurements are recorded in a time-ordered vault with EAS attestation on Base mainnet. Entity coverage grows as observations are attested.