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This paper aims to provide a unified perspective on the properties of matter using the Density Clustering Matrix framework.

August 3, 2026Open Access

A Unified Perspective on the Five Properties of Matter through the Density Clustering Matrix: The Evolutionary Trajectory from Observation to Algebra (including the Sixth Property DS)

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Unified perspective paper explores properties of matter, revealing algebraic relationships and significance of the sixth property.

This paper aims to provide a unified perspective on the properties of matter using the Density Clustering Matrix framework.
Utilizes Density Clustering Matrix to explore algebraic operations on the five properties of matter.
Examines the FDNE equation as a constraint in the density clustering field using 1.4M materials.
Validates the independence of the sixth property DS from the five properties.
Achieved a 338-fold compression from 1,407,278 materials to 4,154 field states.
DS shows weak correlation with the five properties, splitting 26.2% of degenerate groups by DS.
DS correlates 2.11 times stronger with electronic properties compared to atomic properties.

Chao Qin (2026) studied this question.

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