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Chaos Solitons & Fractals

On the uncertainty of Cantorian geometry and the two-slit experiment

Mohamed Saladin El Naschie

Published Mar 1, 1998• 272 citations
Publisher
DOI
10.1016/s0960-0779(97)00150-1

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We give a mathematical golden mean distribution based probabilistic confirmation of a recent spectacular experiment with light. The experiment in question is a three-slit variant of the well known two-slit set up of quantum mechanics. The outcome of the sophisticated experiment revealed the looped path of light on the quantum scale and consequently the Peano-Hilbert geometry of spacetime, ergo its fractal-Cantorian nature. The mathematics used here on the other hand is the remarkably simple and insightful golden mean probability distribution known from a famous paradox known in social sciences as the voter paradox.