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Gravity on the octonion algebra

2006/04/06 by V. Dorofeev, V. L. Dorofeev, Dorofeev, V.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Homotopy and Cohomology in Algebraic Topology #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0604024

6 pages

arxiv created 2006/04/06 · openalex publication_date 2006/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Gravitational interactions are treated as non-associative part of a Lagrangian of octonion fields. The Lagrangian is defined in the charge space as squared curvature with respect to the octonion fields. The applications of suggested formalism to homogeneous and isotropic space are studied.

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