Spacetime geometry from Dirac spinor theory

Yuri N. Obukhov, G. E. Volovik

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The quintet of Dirac 4×4 matrices suggests that the fundamental dimension of the internal (spin) space is n=5, instead of the conventional dimension n=4. Then instead of the conventional 4×4 tetrads (vierbein), gravity is described in terms of the 5-bein (fünfbein or five legs). We discuss the properties of the spacetime geometry induced from this 5-leg Dirac spinor theory, where the spin connection contains 10×4=40 elements instead of 24 elements in the tetrad formulation of the general relativity theory.

Original languageEnglish
Article number064076
Pages (from-to)1-6
Number of pages6
JournalPhysical Review D
Issue number6
Publication statusPublished - 15 Mar 2024
MoE publication typeA1 Journal article-refereed


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