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Generalized relativity: A unified field theory based on free geodesic connections in Finsler space - MaRDI portal

Generalized relativity: A unified field theory based on free geodesic connections in Finsler space (Q1590855)

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scientific article; zbMATH DE number 1548232
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English
Generalized relativity: A unified field theory based on free geodesic connections in Finsler space
scientific article; zbMATH DE number 1548232

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    Generalized relativity: A unified field theory based on free geodesic connections in Finsler space (English)
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    1 January 2001
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    The author claims to have discovered a novel approach to the application of Finsler geometry to unified field theory starting with something he calls a geodesic connection. He seems to be unaware that this connection function is just a spray which can be simply related to various well-known Finsler connections such as those of Douglas, Barthel, or Berwald. An unfortunate form of the spray function is advocated which contains a term proportional to the tangent vector. This sort of nonlinear parametrization would imply that a velocity adds directly to the acceleration, a concept difficult to justify physically. The theory is applied with inconclusive results to the Randers metric.
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    Finsler geometry
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    connections
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    sprays
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    Randers metric
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