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Some applications of geodesic loops and nonlinear geometric algebra in the theory of gravity - MaRDI portal

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Some applications of geodesic loops and nonlinear geometric algebra in the theory of gravity (Q1383850)

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scientific article; zbMATH DE number 1139651
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English
Some applications of geodesic loops and nonlinear geometric algebra in the theory of gravity
scientific article; zbMATH DE number 1139651

    Statements

    Some applications of geodesic loops and nonlinear geometric algebra in the theory of gravity (English)
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    25 October 1998
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    After reviewing the main concepts of general relativity for describing spacetime and test particles, the authors introduce the local geodesic multiplication of spacetime points which converts spacetime locally into an algebraic system called a local geodesic loop. They also consider physical aspects of the geodesic multiplication, introduce tangent Akivis algebras, propose quantum conditions for infinitesimal quantum events, and discuss a global description.
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    local geodesic multiplication
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    local geodesic loops
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    tangent Akivis algebra
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    general relativity
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    spacetime
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    test particles
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