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Ethereum

April 23, 2026

Settlement Pressure
Φ_S 12.9650
Field Coherence
κ 0.0017
Vault Records
3

Ethereum: Field Position Report

Eigenstate Research — April 23, 2026

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


Key Metrics

MetricValueContext
Settlement Pressure (Φ_S)12.9650critical settlement pressure — dominant extractive position in the topology
Field Coherence (κ)0.0017minimal field integration — largely unobserved by the engine
Vault Records3ΔI accumulated: 8.47
Topology Connections32Direct information flow links
Power Concentration Rank#4 of 199Score: 2.95

Global Field Context

Global field state unavailable — run parkash to refresh.

What Is Ethereum

Ethereum is a topology node in the tokenized settlement layer. The engine tracks 199 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 Position Analysis

Settlement Pressure (Φ_S = 12.9650)

Critical settlement pressure — dominant extractive position in the topology.

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 = 0.0017)

Minimal field integration — largely unobserved by the engine.

The equilibrium attractor is κ = 1/φ ≈ 0.618. At current κ = 0.0017, Ethereum is 0.6163 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

3 vault records for Ethereum. Total accumulated ΔI: 8.47.

Most recent observation: observe at 2026-04-23 23:03:59 UTC — ΔI = 4.00, E = 0.00

Engine 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

Concentration Analysis

Ethereum ranks #4 in the field’s power concentration with a score of 2.95 (field total: 46.16).

The top 5 entities control 57.0% of field power (Gini = 0.39). High concentration with low vault coverage (44.7%) is the primary source of PT = n/a vs target 0.618.


Methodology

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

Core equations:

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.


Eigenstate Research · paragraph.xyz/@eigenstate · kaydeep0.github.io/eigenstate-research

Generated: 2026-04-23T23:11:03 UTC by Eigenstate engine · Report ID: ETHEREUM_20260423

Other tracked entities · by settlement pressure
Federal Reserve Φ_S 15.204 Securities and Exchange Commission Φ_S 11.422 BlackRock Φ_S 11.384 Securities and Exchange Commission Φ_S 11.286 Securities and Exchange Commission Φ_S 9.904 BlackRock Φ_S 9.766