On the possibility of differential algebraic elimination of the spinor field from the Maxwell-Dirac electrodynamics

• URL: http://arxiv.org/abs/2602.15907v1
• Date: Mon, 16 Feb 2026 10:58:28 GMT
• Title: On the possibility of differential algebraic elimination of the spinor field from the Maxwell-Dirac electrodynamics
• Authors: Andrey Akhmeteli,
• Abstract summary: We investigate whether the spinor field can be eliminated from the Maxwell-Dirac equations.<n>This strongly suggests that differential-algebraic elimination of the spinor field is possible.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate whether the spinor field can be eliminated from the Maxwell-Dirac equations by differential algebraic methods. A generic truncated power series solution is constructed, the prolonged system of the Maxwell-Dirac electrodynamics is linearized about the solution, and the ranks of the associated coefficient matrices are computed. The results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. This strongly suggests that differential-algebraic elimination of the spinor field is possible.

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