Abstract
HERMANN WEYL (Proc. Nat. Acad. of the U.S.A., 15, 323; April 1929) has recently developed a relativistic theory of the Dirac equation which, like that of Wigner (Zeit. f. Phys., 53, 592; 1929), and that of Vallarta and myself (NATURE, Mar. 2, 1929, p. 317), employs the Einstein notion of an ‘n-leg’. Unlike the two other theories, Weyl rejects Einstein's distant parallelism, and obtains a theory invariant under a local rotation varying continuously from point to point. That is, Weyl's theory depends solely on the gλµ's of Einstein's 1916 gravitational theory, and not on the shλ of his 1929 theory. It is perhaps interesting to remark that the same degree of invariance may be obtained by choosing as the 4-legs of the Einstein theory the Ricci principal directions. If we write R—µ for the 1916 contracted curvature tensor, this additional condition is expressed by the formula
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WIENER, N. Dirac Equations and Einstein Theory. Nature 123, 944–945 (1929). https://doi.org/10.1038/123944c0
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DOI: https://doi.org/10.1038/123944c0
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