What changed
Uses invariant distance-conditioned scalar messages and radial coordinate updates to preserve Euclidean rotation, reflection and translation equivariance without computing higher-order spherical-harmonic features.
Scientific scope
Uses invariant distance-conditioned scalar messages and radial coordinate updates to preserve Euclidean rotation, reflection and translation equivariance without computing higher-order spherical-harmonic features. Equivariance is structural for the specified updates and invariant input features, not universal expressivity across all tensor representations, exact physical conservation or arbitrary graph-inference scalability. General architecture and artificial particle dynamics only; bio applications omitted.
Evidence
The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Equivariance is structural for the specified updates and invariant input features, not universal expressivity across all tensor representations, exact physical conservation or arbitrary graph-inference scalability. General architecture and artificial particle dynamics only; bio applications omitted.
Contributors
- Source-listed authors and technical contributors · SCIENCE: Source-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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