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This work aims to explore the relationship between the fine structure constant and the Pauli exclusion principle through quantum geometrical concepts.

March 21, 2026Open Access

The Topology of the Unitary Field: Deriving the Fine Structure Constant and Exclusion Principle via Quantum Geometric Tensor Saturation

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This work aims to explore the relationship between the fine structure constant and the Pauli exclusion principle through quantum geometrical concepts.
Re-analyzed data from Kang et al. using momentum-resolved Berry curvature measurements.
Examined high-momentum plateaus in the Berry curvature across different experimental conditions.
Compared raw and normalized datasets to observe saturation behaviors in fine structure constant.
Identified clear high-momentum plateaus in Berry curvature measurements.
Observed values near the fine structure constant but no sustained saturation at precisely 1/137.
Found empirical constraints that differentiate material-bound topology from expected universal behaviors.

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Implication

Analysis of quantum geometric tensors shows implications for fine structure constant in solid-state systems, suggesting new insights.

Cite This Study

Down (2026) studied this question.

synapsesocial.com/papers/69be37f16e48c4981c677e77 https://doi.org/10.5281/zenodo.19061245

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The Topology of the Unitary Field: Deriving the Fine Structure Constant and Exclusion Principle via Quantum Geometric Tensor Saturation

Key Points

Discussion

Implication

Cite This Study

The Topology of the Unitary Field: Deriving the Fine Structure Constant and Exclusion Principle via Quantum Geometric Tensor Saturation

Key Points

Discussion

Implication

Cite This Study

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