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Identify connections to spin geometry and twistor theory

Identify and characterize the connections between the spinor decomposition by differential forms developed in the paper and established frameworks such as spin geometry and twistor theory.

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Background

The manuscript proposes a novel decomposition of spinors using differential forms and suggests potential relevance to broader mathematical structures used in physics. While the approach may intersect with existing theories—including spin geometry and twistor theory—the precise relationships are not developed in the paper.

The authors explicitly defer this task, indicating that mapping and articulating these connections remains to be done.

References

Several closely related concepts would be found in other fields including, e.g., spin geometry and twistor theory, and identifying these connections is left for future work.

Basis of spinors expressed by differential forms and calculating its norm (2403.13003 - Takahashi, 13 Mar 2024) in Concluding remarks (final paragraph of the main text)