Geodesic multiplication and the theory of gravity.

Mathematics – Mathematical Physics

Scientific paper

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Quantum Gravity

Scientific paper

Nonassociative algebraic systems called local geodesic loops and their
tangent Akivis algebras are considered. The construction of geo-odular
structure of a manifold with an affine connection is briefly reviewed. A
possible role of these algebraic structures in classical and quantum
gravity is discussed.

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