Fine Structure Constants in n-dimensional Physical Spaces through Dimensional Analysis

Details Fine Structure Constants in n-dimensional Physical Spaces through Dimensional Analysis Fine Structure Constants in n-dimensional Physical Spaces through Dimensional Analysis

2003-09-07

arxiv.org/abs/physics/0309040v1

Physics

General Physics

5 pages, 1 figure, latex

Scientific paper

We use Vaschy-Buckhingham Theorem as a systematic tool to build univocal
n-dimensional extensions of the electric and gravitational fine structure
constants and show that their ratio is dimensionally invariant. The results
allow us to obtain the relative standard uncertainty on the
three-dimensionality of space as 1.08 $10^{-13}$.

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