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The aim is to reconstruct the curved-space Dirac equation from empirical content and structural commitments.

May 20, 2026Open Access

The curved-space Dirac equation from empirical anchors and structural commitments

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The aim is to reconstruct the curved-space Dirac equation from empirical content and structural commitments.
Step-by-step reconstruction of the Dirac equation using five empirical anchors and three structural commitments.
Addressing frame-independence and index matching in equations for physically-real potentials.
Utilizing algebraic, minimality, and scope-choice conditions at each stage of the reconstruction.
Establishment of the Dirac bispinor as the solution under certain conditions.
Criteria for the minimal coupling and stress-energy tensor formation defined.
The findings do not propose new Dirac operators or uniqueness theorems but clarify existing theoretical frameworks.

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This theoretical exploration finds the Dirac equation in curved spacetime via empirical anchors and structural commitments.

Daniel Fook Hao Tan (2026) studied this question.

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