An irreducibly simple derivation of the Hausdorff dimension of spacetime

M.S. El Naschie

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1902-1904

Abstract: Starting from the simple picture of a three-dimensional cube, we construct a four-dimensional cube hierarchy. The dimensions of infinitely concentric four-dimensional cubes naturally lead to a corresponding construction of a continued fraction converging to D=4.2360679. This is exactly the Hausdorff dimension found using E-infinity theory.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1902-1904

DOI: 10.1016/j.chaos.2008.07.043

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