Gravity on the octonion algebra

TL;DR

This paper explores a novel approach to gravity by formulating it within the non-associative octonion algebra framework, defining a Lagrangian based on squared curvature in charge space, and applying it to cosmological models.

Contribution

It introduces a new formalism for gravity using octonion algebra, extending traditional theories with non-associative structures and analyzing cosmological applications.

Findings

Formalism successfully models homogeneous and isotropic space.

Provides a new perspective on gravitational interactions as octonion fields.

Potential implications for unifying gravity with other fundamental forces.

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.