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

2003/09/07 by Fabricio Casarejos, Casarejos, Fabricio, Jaime F. Villas da Rocha +3
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0309040

5 pages, 1 figure, latex

arxiv created 2003/09/07 · arxiv updated 2009/12/01

Abstract

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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