What question did this study set out to answer?

The aim is to establish a mathematical framework for the five properties of matter and verify its degeneracy through constraints.

July 27, 2026Open Access

Mathematical Framework and Degeneracy Verification of the Five Properties of Matter: Material Space Compression Under the Field Domain Number Equation Constraint

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Randomized trial analyzes material property framework, revealing substantial degeneracy in material space, suggesting new classification methods.

The aim is to establish a mathematical framework for the five properties of matter and verify its degeneracy through constraints.
Constructed V10 database from 1,407,278 DFT-computed materials.
Analyzed hierarchical mathematical relationships based on Field Domain Number Equation.
Assessed material space degeneracy and classification consistency.
1.4 million materials correspond to only 4,154 field-domain states (338x compression).
Intra-group electronic classification consistency reaches 94-100%.
Traditional classifications span multiple categories in 65.7% of R prime states.

Chao Qin (2026) studied this question.

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Randomized trial analyzes material property framework, revealing substantial degeneracy in material space, suggesting new classification methods.