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The place of Dirac's Equation in Five-Dimensional Riemannian Geometry

Published online by Cambridge University Press:  20 January 2009

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The generalised Whittaker vector is Λμ which is prevented from vanishing by rejection of the constancy of ω, previously assumed by all writers. It is shown that (1) the null divergence of Λμ is equivalent to Dirac's equation, (2) the length of Λμ measures the probability of occurrence of the electron (3) components of Λμ are connected with the Dirac wave functions and.possible transformations of x5 are probably related to the Uncertainty Principle.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1946

References

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