Banach-Tarski theorem and Cantorian micro space-time

DOI10.1016/0960-0779(95)00052-6zbMath0903.28010OpenAlexW2149190131MaRDI QIDQ1129329

Mohamed Saladin El Naschie

Publication date: 14 December 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00052-6

zbMATH Keywords

Hausdorff dimensionBanach-Tarski theoremfractal nature of micro space-timeMauldin-Williams theoremrandom quasi-transfinite four-dimensional Cantorian manifold

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Fractals (28A80) Miscellaneous topics in measure theory (28E99) Physics (00A79)

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Cites Work

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• On the nature of complex time, diffusion and the two-slit experiment
• A note on quantum mechanics, diffusional interference and informions
• Classical analog of quantum phase
• Is quantum space a random Cantor set with a golden mean dimension at the core?
• On certain ``empty Cantor sets and their dimensions
• Orbits stability and dimensional criticality of Cantor sets
• Dimensions and Cantor spectra
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties

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