A Feynman path integral-like method for deriving the four dimensionality of spacetime from first principles

L. Marek-Crnjac

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2471-2473

Abstract: Using a Feynman path integral-like summing procedure we can establish two exact statistical averages for the topological and the Hausdorff dimension of a fractal-Cantorian spacetime. By equating the two expressions we find the Hausdorff and the topological dimension to be 4+ϕ3 and 4, respectively, where ϕ=(5-1)/2.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2471-2473

DOI: 10.1016/j.chaos.2008.09.014

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