Spacetime geometry from Dirac spinor theory

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2024-03-15

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en

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6

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Physical Review D, Volume 109, issue 6, pp. 1-6

Abstract

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.

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Publisher Copyright: © 2024 American Physical Society.

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Obukhov, Y N & Volovik, G E 2024, ' Spacetime geometry from Dirac spinor theory ', Physical Review D, vol. 109, no. 6, 064076, pp. 1-6 . https://doi.org/10.1103/PhysRevD.109.064076