What question did this study set out to answer?

To establish a theoretical framework for understanding condensed-matter and solid-state physics through three core axioms.

August 13, 2026Open Access

Topological Condensed-Matter and Solid-State Physics: A Three-Axiom Reconstruction of Many-Body Matter, Crystals, Collective Excitations, Correlations, Topological Phases, and Transport

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Theoretical architecture derives correlations and transport in many-body systems, indicating structured understanding.

To establish a theoretical framework for understanding condensed-matter and solid-state physics through three core axioms.
Developed a theoretical architecture based on three axioms concerning the nature of matter.
Formulated a model-theoretic conservative extension focusing on many-body dynamics and Hamiltonians.
Analyzed various physical phenomena such as crystal symmetry, transport, and phase behavior under specific conditions.
Introduced stability criteria for spectral gaps and Green-function invariants indicating new insights into many-body systems.
Demonstrated recovery of various conventional theories under controlled limits, elucidating their validity domains.
Identified fundamental conditions for theoretical closure that guide future material applications and experimental validations.

Kianming(Jianming) Wang (2026) studied this question.

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