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A spinor equation of the pure electromagnetic field

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Abstract

In the early history of spinors it became evident that a single undotted covariant elementary spinor can represent a plane wave of light. Further study of that relation shows that plane electromagnetic waves satisfy the Weyl equation, in a way that indicates the correct spin angular momentum. On the subatomic scale the Weyl equation discloses more detail than the vector equations. The spinor and vector equations are equivalent when applied to plane waves, and more generally (in the absence of sources) on the large scale when the spinors are incoherent.

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Perkins, G.A. A spinor equation of the pure electromagnetic field. Found Phys 8, 745–757 (1978). https://doi.org/10.1007/BF00717504

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