Mathematical Physics


Six-Dimensional Spacetime Structures of Massless Particles

Authors: Vu B Ho

In this work, we will investigate possible spacetime structures of massless particles by formulating Dirac equation in a six-dimensional spatial-temporal continuum in both pseudo-Euclidean and Euclidean metrics. We show that the state of a massless particle flows as an irrotational and incompressible fluid in steady fluid dynamics in the sense that all spatial and temporal components of the wavefunction of a massless particle can be described by Laplace equation. Furthermore, we also show that the six components of the wavefunction are coupled in pairs to form two-dimensional subspaces and this result may suggest why quantum particles possess an intrinsic spin angular momentum that takes half-integral values.

Comments: 15 Pages.

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Submission history

[v1] 2017-11-28 03:18:52
[v2] 2017-11-29 23:58:35

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