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2009•arXiv (Cornell University)Open access

Problematic aspect of extra dimensions

Maxim Eingorn, Alexander Zhuk

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Abstract

We show that in multidimensional Kaluza-Klein models the formula of the perihelion shift is $Dπm'^2c^2r_g^2/[2(D-2)M^2]$ where $D$ is a total number of spatial dimensions. This expression demonstrates good agreement with experimental data only in the case of ordinary three-dimensional $(D=3)$ space. This result does not depend on the size of the extra dimensions. Therefore, considered multidimensional Kaluza-Klein models face a severe problem.

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We show that in multidimensional Kaluza-Klein models the formula of the perihelion shift is $Dπm'^2c^2r_g^2/[2(D-2)M^2]$ where $D$ is a total number of spatial dimensions. This expression demonstrates good agreement with experimental data only in the case of ordinary three-dimensional $(D=3)$ space. This result does not depend on the size of the extra dimensions. Therefore, considered multidimensional Kaluza-Klein models face a severe problem.

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Available abstract

We show that in multidimensional Kaluza-Klein models the formula of the perihelion shift is $Dπm'^2c^2r_g^2/[2(D-2)M^2]$ where $D$ is a total number of spatial dimensions. This expression demonstrates good agreement with experimental data only in the case of ordinary three-dimensional $(D=3)$ space. This result does not depend on the size of the extra dimensions. Therefore, considered multidimensional Kaluza-Klein models face a severe problem.

Key concepts: Extra dimensions, Space (punctuation), Face (sociological concept), Kaluza–Klein theory, Multidimensional data, Expression (computer science), Mathematics, Physics

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