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    Einstein's general relativity requires a four-dimensional... — Carmelics
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    Challenges→The Helmholtz-Lie treatment of the problem of space lost its relevance with the arrival of Einstein's theory of general relativity

    Einstein's general relativity requires a four-dimensional continuum with an indefinite quadratic form metric

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    General relativity involves an inhomogeneous metric field that causally depends ...Helmholtz's treatment presupposed a three-dimensional continuum with metric homo...The Helmholtz-Lie treatment of the problem of space lost its relevance with the ...

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    Considering the general case of \(n\) dimensions, and using Lie groups and Lie algebras, Sophus Lie, (Lie (1886/1935, 1890a,b)), later developed and improved Helmholtz’s justification. However, the Helmholtz-Lie treatment of, and solution to, the problem of space, lost its relevance with the arrival of Einstein’s theory of general relativity. As Weyl (1922b) points out, instead of a three-dimensional continuum we must now consider a four-dimensional continuum, the metric of which is not p

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